%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.01",
%%%     date            = "30 September 2024",
%%%     time            = "11:45:33 MDT",
%%%     filename        = "gear-c-w.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "18979 7513 32283 332075",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "backward differentiation formula (BDF);
%%%                        bibliography; BibTeX; Bill Gear; C. W. Gear;
%%%                        C. William Gear; Charles William Gear;
%%%                        computational modeling; computer graphics;
%%%                        DFASUB; differential equations;
%%%                        differential--algebraic equations; DIFSUB
%%%                        (the automatic integration program for ODEs);
%%%                        Gear Anode; IBM System/360; ILLIAC I
%%%                        (Illinois Automatic Computer); ILLIAC II;
%%%                        initial value problems; Livermore Solver for
%%%                        Ordinary Differential Equations (LSODE);
%%%                        mathematical software; network simulation;
%%%                        ordinary differential equations; partial
%%%                        differential equations; radial basis
%%%                        functions; stiff systems of differential
%%%                        equations; stochastic dynamical systems",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This a bibliography of works by, and about,
%%%                        the English/American computer scientist,
%%%                        mathematician, and numerical analyst,
%%%                        C. W. (Charles William ``Bill'') Gear (1
%%%                        February 1935--15 March 2022)
%%%
%%%                        Bill Gear most commonly published under his
%%%                        initials, C. W., but sometimes as C. William,
%%%                        and only once, in his doctoral dissertation,
%%%                        under his full name.
%%%
%%%                        Bill Gear was born in London, UK. He received
%%%                        a B.A. at Peterhouse College, University of
%%%                        Cambridge in 1956, then with Fulbright and
%%%                        Johnson Foundation fellowship support, an
%%%                        M.S., at the University of Illinois in 1957.
%%%                        He earned an M.A. at the University of
%%%                        Cambridge in 1960, and a Ph.D. at the
%%%                        University of Illinois in 1960.  All of his
%%%                        degrees are in Mathematics.
%%%
%%%                        On completion of his doctorate, Bill Gear
%%%                        returned to England to a post at the IBM
%%%                        British Laboratories in Hursley (about 15km
%%%                        north of Southampton, and 100km southwest of
%%%                        London), for 1960--1962.  He worked there on
%%%                        early design of the IBM System/360, which was
%%%                        introduced to the market on 7 April 1964, and
%%%                        remains the longest lived computer
%%%                        architecture family.
%%%
%%%                        In 1962, he moved back to the University of
%%%                        Illinois, becoming Full Professor there in
%%%                        1969, Head of the Department of Computer
%%%                        Science from 1985 to 1990, and widening his
%%%                        duties to Professor of Computer Science,
%%%                        Applied Mathematics, and Electrical and
%%%                        Computer Engineering.  He also served as
%%%                        a consultant to Argonne National Laboratory
%%%                        from 1966 to 1971.
%%%
%%%                        Bill Gear's development of backward
%%%                        differentiation formula (BDF) methods in 1966
%%%                        for solving stiff systems of differential
%%%                        equations was a significant computational
%%%                        advance, and a key part of the SPICE2
%%%                        computer circuit simulator.
%%%
%%%                        In January 1989, Bill Gear left academica to
%%%                        become Vice President of the Computer Science
%%%                        Research Division at the newly formed NEC
%%%                        Research Institute in Princeton, NJ, and in
%%%                        1992, rose to President, following the death
%%%                        of the Institute's first President, Dawon
%%%                        Kahng.
%%%
%%%                        Bill Gear retired from the NEC Research
%%%                        Institute in 2000 at the age of 65, and
%%%                        became a part-time Senior Scientist at
%%%                        Princeton University.
%%%
%%%                        In 1987, Bill Gear received an honorary
%%%                        doctorate from the Royal Institute of
%%%                        Technology in Stockholm, Sweden, and became a
%%%                        Fellow of the Institute of Electrical and
%%%                        Electronics Engineers (IEEE).  In 1987--1988,
%%%                        he was President of the Society for
%%%                        Industrial and Applied Mathematics (SIAM).
%%%                        He became a Fellow of the National Academy of
%%%                        Engineering in 1991, and a Fellow of the
%%%                        American Academy of Arts and Sciences in
%%%                        1996.
%%%
%%%                        Web sites about C. W. Gear include
%%%
%%%                            https://dblp.org/pid/g/CWilliamGear.html
%%%                            https://en.wikipedia.org/wiki/C._William_Gear
%%%                            https://www.mathgenealogy.org/id.php?id=24924
%%%                            https://www.researchgate.net/profile/C-Gear
%%%                            https://www.towntopics.com/wordpress/2022/03/30/obituaries-3-30-2022/
%%%                            https://www.wikidata.org/wiki/Q15790711
%%%
%%%                        From the genealogy Web site, Bill Gear has 7
%%%                        doctoral students and 73 academic
%%%                        descendants.
%%%
%%%                        The ResearchGate Web site reports 174
%%%                        publications, but Part 1 below records at
%%%                        least 224.  However, until an up-to-date
%%%                        curriculum vitae publication list can be
%%%                        found, we cannot yet claim that coverage is
%%%                        complete.
%%%
%%%                        At version 1.01, the year coverage looked
%%%                        like this:
%%%
%%%                             1960 (   1)    1981 (   5)    2002 (   5)
%%%                             1961 (   0)    1982 (  10)    2003 (   8)
%%%                             1962 (   1)    1983 (   8)    2004 (   5)
%%%                             1963 (   2)    1984 (   8)    2005 (   5)
%%%                             1964 (   3)    1985 (   8)    2006 (   2)
%%%                             1965 (   4)    1986 (   7)    2007 (   4)
%%%                             1966 (   4)    1987 (  17)    2008 (   1)
%%%                             1967 (   2)    1988 (   7)    2009 (   2)
%%%                             1968 (   1)    1989 (  11)    2010 (   1)
%%%                             1969 (   7)    1990 (   5)    2011 (   1)
%%%                             1970 (   4)    1991 (   6)    2012 (   2)
%%%                             1971 (   5)    1992 (   2)    2013 (   0)
%%%                             1972 (   1)    1993 (   3)    2014 (   1)
%%%                             1973 (  11)    1994 (   2)    2015 (   4)
%%%                             1974 (  10)    1995 (   1)    2016 (   1)
%%%                             1975 (   2)    1996 (   0)    2017 (   2)
%%%                             1976 (   4)    1997 (   2)    2018 (   0)
%%%                             1977 (   6)    1998 (   2)    2019 (   1)
%%%                             1978 (  10)    1999 (   0)    2020 (   0)
%%%                             1979 (   8)    2000 (   0)    2021 (   0)
%%%                             1980 (  13)    2001 (   1)    2022 (   8)
%%%
%%%                             Article:        106
%%%                             Book:            23
%%%                             InCollection:     2
%%%                             InProceedings:   23
%%%                             Misc:             8
%%%                             PhdThesis:        2
%%%                             Proceedings:     13
%%%                             TechReport:      81
%%%
%%%                             Total entries:  258
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

@Preamble{
    "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
    "\ifx \undefined \cprime    \def \cprime {$'$}             \fi" #
    "\ifx \undefined \cyr       \let \cyr = \rm                \fi" #
    "\ifx \undefined \mathbb    \def \mathbb    #1{{\bf #1}}   \fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:

@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Institution abbreviations:

@String{inst-ANL                = "Argonne National Laboratory"}
@String{inst-ANL:adr            = "Argonne, IL, USA"}

@String{inst-HARWELL            = "{AERE Harwell} Laboratory"}
@String{inst-HARWELL:adr        = "Chilton, Oxon, England"}

@String{inst-UIUC-DCS           = "Department of Computer Science, University of
                                  Illinois at Urbana-Champaign"}
@String{inst-UIUC-DCS:adr       = "Urbana, IL, USA"}

%%% ====================================================================
%%% Journal abbreviations:

@String{j-APPL-MATH-COMP        = "Applied Mathematics and Computation"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
                                  of IMACS"}

@String{j-BIT                   = "BIT (Nordisk tidskrift for
                                  informationsbehandling)"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

@String{j-CACM                  = "Communications of the ACM"}

@String{j-CALCOLO               = "Calcolo: a quarterly on numerical analysis
                                  and theory of computation"}

@String{j-COMMUN-MATH-SCI       = "Communications in Mathematical Sciences"}

@String{j-COMP-CHEM-ENG         = "Computers \& Chemical Engineering"}

@String{j-COMP-GRAPHICS         = "Computer Graphics"}

@String{j-COMP-J                = "The Computer Journal"}

@String{j-DISCRETE-CONTIN-DYN-SYST = "Discrete and Continuous Dynamical Systems.
                                   Series A"}

@String{j-ENTROPY               = "Entropy"}

@String{j-IEEE-TRANS-CIRCUIT-THEORY = "IEEE Transactions on Circuit Theory"}

@String{j-IEEE-TRANS-ELEC-COMPUT = "IEEE Transactions on Electronic Computers"}

@String{j-INT-J-COMP-VISION     = "International Journal of Computer Vision"}

@String{j-J-ACM                 = "Journal of the ACM"}

@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-J-COMPUT-PHYS         = "Journal of Computational Physics"}

@String{j-J-MATH-PHYS           = "Journal of Mathematical Physics"}

@String{j-J-MATH-PHYS-MIT       = "Journal of Mathematics and Physics (MIT)"}

@String{j-J-SCI-COMPUT          = "Journal of Scientific Computing"}

@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-MODEL-NUM-ANA    = "Mathematical modelling and numerical analysis
                                  = Modelisation math{\'e}matique et
                                  analyse num{\'e}rique: $M^2AN$"}

@String{j-MULTISCALE-MODELING-SIMUL = "Multiscale Modeling and Simulation"}

@String{j-NUM-MATH              = "{Numerische Mathematik}"}

@String{j-NY-TIMES              = "New York Times"}

@String{j-PARALLEL-COMPUTING    = "Parallel Computing"}

@String{j-PHYS-LET-A            = "Physics Letters A"}

@String{j-PHYSICA-D             = "Physica. D, Nonlinear phenomena"}

@String{j-PROC-IEEE             = "Proceedings of the IEEE"}

@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI = "Proceedings of the Royal
                                  Society A: Mathematical, Physical, and
                                  Engineering Sciences"}

@String{j-SIAM-J-ALG-DISC-METH  = "SIAM Journal of Algebraic Discrete Methods"}

@String{j-SIAM-J-APPL-DYN-SYST  = "SIAM Journal on Applied Dynamical Systems"}

@String{j-SIAM-J-NUM-ANALYSIS-B = "Journal of the Society for Industrial and
                                  Applied Mathematics: Series B, Numerical
                                  Analysis"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
                                  Computing"}

@String{j-SIAM-NEWS             = "SIAM News"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIGNUM                = "ACM SIGNUM Newsletter"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

%%% ====================================================================
%%% Publisher abbreviations:

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AFIPS               = "AFIPS Press"}
@String{pub-AFIPS:adr           = "Arlington, VA, USA"}

@String{pub-AW                  = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr              = "Reading, MA, USA"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht,
                                  The Netherlands"}

@String{pub-MCGRAW-HILL         = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr     = "New York, NY, USA"}

@String{pub-MIT                 = "MIT Press"}
@String{pub-MIT:adr             = "Cambridge, MA, USA"}

@String{pub-NORTH-HOLLAND       = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-NTIS                = "National Technical Information Service"}
@String{pub-NTIS:adr            = "Washington, DC, USA"}

@String{pub-PH                  = "Pren{\-}tice-Hall"}
@String{pub-PH:adr              = "Upper Saddle River, NJ 07458, USA"}

@String{pub-PLENUM              = "Plenum Press"}
@String{pub-PLENUM:adr          = "New York, NY, USA; London, UK"}

@String{pub-SCI-RES-ASSOC       = "Science Research Associates"}
@String{pub-SCI-RES-ASSOC:adr   = "Chicago, IL, USA"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-LECT-NOTES-MATH     = "Lecture Notes in Mathematics"}

%%% ====================================================================
%%%                  Part 1: Publications of Charles William Gear

@PhdThesis{Gear:1960:SSI,
  author =       "Charles William Gear",
  title =        "Singular Shock Intersections in Plane Flow",
  type =         "{Ph.D.} thesis",
  school =       "Department of Mathematics, University of Illinois",
  address =      "Urbana, IL, USA",
  pages =        "iv + 89",
  day =          "27",
  month =        may,
  year =         "1960",
  MRclass =      "99-05",
  MRnumber =     "2613099",
  bibdate =      "Fri Nov 17 13:50:15 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/301841563/",
  acknowledgement = ack-nhfb,
  advisor =      "Abraham Haskel Taub",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark =       "B.A., University of Cambridge, 1956; M.S.
                 (Mathematics), University of Illinois, 1957; M.A.
                 (Mathematics), University of Cambridge, 1960",
}

@TechReport{Fosdick:1962:RSS,
  author =       "Lloyd Dudley Fosdick and C. William (Charles William)
                 Gear and N. Hamilton",
  title =        "A report on a {Special Summer 1962 Computer Program
                 for Undergraduates}",
  volume =       "129",
  institution =  "University of Illinois, Graduate College, Digital
                 Computer Laboratory",
  address =      "Urbana, IL, USA",
  pages =        "i + 27",
  day =          "9",
  month =        oct,
  year =         "1962",
  LCCN =         "QA76.I4 no.129",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Report / University of Illinois, Digital Computer
                 Laboratory",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1963:AI,
  author =       "C. W. Gear",
  title =        "Author Index",
  journal =      j-IEEE-TRANS-ELEC-COMPUT,
  volume =       "EC-12",
  number =       "3",
  pages =        "351--351",
  month =        jun,
  year =         "1963",
  CODEN =        "IEECA8",
  DOI =          "https://doi.org/10.1109/PGEC.1963.263584",
  ISSN =         "0367-7508",
  ISSN-L =       "0367-7508",
  bibdate =      "Thu Jul 14 08:10:39 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037886",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "IEEE Transactions on Electronic Computers",
}

@TechReport{Gear:1963:SSB,
  author =       "C. W. Gear",
  title =        "Singular solutions at boundary intersections in two
                 dimensional quasi-linear homogeneous partial
                 differential equations",
  type =         "Report",
  number =       "156",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "20",
  day =          "21",
  month =        oct,
  year =         "1963",
  bibdate =      "Sat Nov 18 16:05:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1964:HMI,
  author =       "C. William (Charles William) Gear",
  title =        "Hybrid methods for initial value problems in ordinary
                 differential equations",
  number =       "COO-415-1012",
  institution =  "University of Illinois",
  address =      "Urbana, IL, USA",
  pages =        "ii + 27",
  day =          "19",
  month =        jun,
  year =         "1964",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Revised 9 November 1964.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1964:OAF,
  author =       "C. W. Gear",
  title =        "Optimization of the address field compilation in the
                 {ILLIAC 2} assembler",
  journal =      j-COMP-J,
  volume =       "6",
  number =       "4",
  pages =        "332--335",
  month =        jan,
  year =         "1964",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/6.4.332",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Dec 4 14:47:30 MST 2012",
  bibsource =    "http://comjnl.oxfordjournals.org/content/6/4.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_04/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/6/4/332.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_04/tiff/332.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_04/tiff/333.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_04/tiff/334.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_04/tiff/335.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Gear:1964:SSB,
  author =       "C. W. Gear",
  title =        "Singular Solutions at Boundary Intersections in Two
                 Dimensional Quasi-Linear Homogeneous Partial
                 Differential Equations",
  journal =      j-J-MATH-PHYS-MIT,
  volume =       "43",
  number =       "1--4",
  pages =        "100--110",
  month =        apr,
  year =         "1964",
  CODEN =        "JMPHA9",
  DOI =          "https://doi.org/10.1002/sapm1964431100",
  ISSN =         "0097-1421",
  ISSN-L =       "0097-1421",
  MRclass =      "76.35",
  MRnumber =     "164554",
  MRreviewer =   "R. Peyret",
  bibdate =      "Sat Aug 19 13:36:08 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphysmit.bib",
  URL =          "https://onlinelibrary.wiley.com/doi/epdf/10.1002/sapm1964431100",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Phys. (MIT)",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Mathematics and Physics (MIT)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9590",
  onlinedate =   "April 1964",
}

@TechReport{Gear:1965:FTT,
  author =       "C. William (Charles William) Gear",
  title =        "A fast translation technique which partially optimizes
                 the object code",
  volume =       "172",
  type =         "Report",
  number =       "COO-1469-0001",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "iii + 15",
  day =          "5",
  month =        apr,
  year =         "1965",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "Computer programming; Programmation (Informatique);
                 computer programming.; Computer programming.",
}

@Article{Gear:1965:HMI,
  author =       "C. W. Gear",
  title =        "Hybrid Methods for Initial Value Problems in Ordinary
                 Differential Equations",
  journal =      j-SIAM-J-NUM-ANALYSIS-B,
  volume =       "2",
  number =       "1",
  pages =        "69--86",
  month =        "????",
  year =         "1965",
  DOI =          "https://doi.org/10.1137/07020",
  ISSN =         "0887-459X (print), 1095-7170 (electronic)",
  ISSN-L =       "0887-459X",
  MRclass =      "34.04 (39.20)",
  MRnumber =     "179490",
  MRreviewer =   "L. Fox",
  bibdate =      "Tue Nov 14 17:19:58 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Soc. Indust. Appl. Math. Ser. B Numer. Anal.",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics. Series B. Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/loi/sjnaam.1",
  reviewer-dates = "Leslie Fox (30 September 1918--1 August 1992)",
}

@Article{Gear:1965:HSC,
  author =       "C. W. Gear",
  title =        "High speed compilation of efficient object code",
  journal =      j-CACM,
  volume =       "8",
  number =       "8",
  pages =        "483--488",
  month =        aug,
  year =         "1965",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/365474.365489",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:01 MST 2005",
  bibsource =    "Compiler/bevan.bib;
                 ftp://ftp.ira.uka.de/pub/bibliography/Compiler/bevan.bib;
                 http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran1.bib",
  abstract =     "A three-pass compiler with the following properties is
                 briefly described: The last two passes scan an
                 intermediate language produced by the preceding pass in
                 essentially the reverse of the order in which it was
                 generated, so that the first pass is the only one which
                 has to read the relatively bulky problem-oriented
                 input. the double scan, one in either direction,
                 performed by the first two passes, allows the compiler
                 to remove locally constant expressions and recursively
                 calculable expressions from loops and to do the
                 important part of common subexpression recognition.
                 Optimization such as the effective use of index
                 registers, although as important, is not discussed
                 since the object code which would be most efficient is
                 highly machine dependent. The discussion is in terms of
                 a FORTRAN-like language, although the technique is
                 applicable to most algebraic languages.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  checked =      "19940407",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
}

@Article{Gear:1965:RIS,
  author =       "C. W. Gear",
  title =        "{R65-56}: {{\booktitle{IBM System 360 Engineering}},
                 J. L. Brown, D. T. Doody, J. W. Fairclough, P. Fagg, J.
                 Greene, and J. A. Hipp (IBM Corp.). (Proc. 1964 FJCC,
                 vol. 26, pp. 205--231)}",
  journal =      j-IEEE-TRANS-ELEC-COMPUT,
  volume =       "EC-14",
  number =       "4",
  pages =        "670--671",
  month =        aug,
  year =         "1965",
  CODEN =        "IEECA8",
  DOI =          "https://doi.org/10.1109/PGEC.1965.264033",
  ISSN =         "0367-7508",
  ISSN-L =       "0367-7508",
  bibdate =      "Thu Jul 14 06:26:40 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038537",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "IEEE Transactions on Electronic Computers",
}

@TechReport{Gear:1966:NIOa,
  author =       "Charles William Gear",
  title =        "The numerical integration of ordinary differential
                 equations of various orders",
  type =         "Report",
  number =       "ANL-7126",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  pages =        "36",
  month =        jan,
  year =         "1966",
  ISSN =         "0192-3188",
  ISSN-L =       "0192-3188",
  LCCN =         "QA372 .G4 1966",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "This report discusses modified multistep
                 predictor-corrector methods for general initial-value
                 problems and introduces new methods. These new methods
                 are of degree Zk for k-step methods and require only
                 one function evaluation. Equivalence classes of methods
                 are discussed, and it is argued that the Nordsieck
                 formulation is the best for high-accuracy problems, and
                 that for low-accuracy problems either the Nordsieck
                 formulation or versions of the new methods should be
                 used. The direct application of the methods to
                 higher-order equations is analyzed, and some numerical
                 evidence is given to suggest that this application
                 leads to faster and more accurate methods than the
                 usual method of integrating of first-order equations.
                 Some preliminary tests on the integration of singular
                 families are mentioned. Finally, existence and
                 convergence proofs are presented.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1966:NIOb,
  author =       "C. W. Gear",
  title =        "Numerical integration in ordinary differential
                 equations operating under {ILLIAC II} time-sharing
                 system",
  journal =      j-CACM,
  volume =       "9",
  number =       "7",
  pages =        "475--475",
  month =        jul,
  year =         "1966",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/365719.366369",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:07 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
}

@InProceedings{Gear:1966:NSO,
  author =       "C. William Gear",
  editor =       "David F. Weinberg and William P. Mancina",
  booktitle =    "Proceedings of the {21st National Conference, ACM
                 1966, USA, 1966}",
  title =        "Numerical solution of ordinary differential equations
                 at a remote terminal",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "43--49",
  year =         "1966",
  DOI =          "https://doi.org/10.1145/800256.810679",
  ISBN =         "1-4503-7915-X",
  ISBN-13 =      "978-1-4503-7915-1",
  bibdate =      "Tue Nov 21 06:36:04 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "A number of general purpose numerical systems have
                 been developed since the advent of time-sharing
                 consoles. Some take the form of extensions of desk
                 calculators, others, such as MAP1 provide a functional
                 ability in which many of the commands take the form of
                 operators on functions. In MAP this is handled by
                 representing the function by a set of values and
                 interpolating where necessary. For high accuracy
                 problems in differential equations such systems are
                 either not convenient or not sufficiently accurate. The
                 special purpose system described in this report
                 attempts to be a tool for the study of the behavior of
                 the solutions of ordinary differential equation
                 systems. There has been some discussion in the
                 literature, both pro and con, concerning the use of a
                 differential equation package as a general purpose
                 problem solving tool (see Klopfenstein2 and Kubik3). We
                 will not enter this discussion, but just point out that
                 such a package can be used to solve a number of
                 additional problems, albeit inefficiently. The purpose
                 of this report is to describe the current status and
                 immediate plans for the system and to comment on the
                 utility of performing tasks, such as integration, in an
                 on-line mode.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1966:TSI,
  author =       "C. William (Charles William) Gear",
  title =        "Time sharing at {Illinois}: experience and plans",
  number =       "217",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "14",
  year =         "1966",
  LCCN =         "QA76 .I4 no. 217",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1967:NIO,
  author =       "C. W. Gear",
  title =        "The Numerical Integration of Ordinary Differential
                 Equations",
  journal =      j-MATH-COMPUT,
  volume =       "21",
  number =       "98",
  pages =        "146--156",
  month =        apr,
  year =         "1967",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2004155",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65.61",
  MRnumber =     "225494",
  MRreviewer =   "C. Froese Fischer",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@TechReport{Gear:1967:NIS,
  author =       "C. William (Charles William) Gear",
  title =        "Numerical integration of stiff ordinary differential
                 equations",
  type =         "Report",
  number =       "221 (COO-1469-0051)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "iv + 20",
  year =         "1967",
  LCCN =         "QA76 .I4 no.221",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1968:GSM,
  author =       "C. W. Gear",
  title =        "Generalized simulation and modeling: the user
                 interface required and some problems to be solved",
  type =         "Report",
  number =       "COO-1469-0105",
  institution =  "University of Illinois",
  address =      "Urbana, IL, USA",
  pages =        "20",
  year =         "1968",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Calahan:1969:ICP,
  author =       "D. A. Calahan and C. W. Gear",
  title =        "An ill-conditioning problem with implicit
                 integration",
  journal =      j-PROC-IEEE,
  volume =       "57",
  number =       "10",
  pages =        "1775--1776",
  month =        oct,
  year =         "1969",
  CODEN =        "IEEPAD",
  DOI =          "https://doi.org/10.1109/PROC.1969.7402",
  ISSN =         "0018-9219 (print), 1558-2256 (electronic)",
  ISSN-L =       "0018-9219",
  bibdate =      "Tue Nov 21 05:45:51 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Proceedings of the IEEE",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
}

@InProceedings{Gear:1969:AIS,
  author =       "C. W. Gear",
  booktitle =    "{Information Processing 68 (Proc. IFIP Congress,
                 Edinburgh, 1968), Vol. 1: Mathematics, Software}",
  title =        "The automatic integration of stiff ordinary
                 differential equations",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "187--193",
  year =         "1969",
  MRclass =      "65.61",
  MRnumber =     "260180",
  MRreviewer =   "J. D. Lambert",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1969:COP,
  author =       "C. William Gear",
  title =        "Computer Organization and Programming",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "xiv + 397",
  year =         "1969",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "McGraw-Hill computer science series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1969:GCA,
  author =       "C. W. Gear",
  title =        "Graphical computer aided programming systems",
  crossref =     "Parslow:1969:CGT",
  pages =        "109--117",
  year =         "1969",
  DOI =          "https://doi.org/10.1007/978-1-4757-1320-6_10",
  bibdate =      "Mon Nov 20 08:35:30 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1969:IGM,
  author =       "C. William (Charles William) Gear",
  title =        "An interactive graphic modeling system",
  volume =       "318",
  type =         "Report",
  number =       "C00-1469-0115",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "47",
  month =        apr,
  year =         "1969",
  LCCN =         "QA76 .I4 NO. 318",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1969:SST,
  author =       "C. W. Gear",
  title =        "A Simple Set of Test Matrices for Eigenvalue
                 Programs",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "105",
  pages =        "119--125",
  month =        jan,
  year =         "1969",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2005060",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65.35",
  MRnumber =     "238477",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@TechReport{Calahan:1970:ICP,
  author =       "Donald A. Calahan and C. W. Gear",
  title =        "An ill-conditioning problem with implicit
                 integration",
  type =         "Report",
  institution =  "Defense Technical Information Center",
  address =      "Ft. Belvoir, VA, USA",
  month =        may,
  year =         "1970",
  bibdate =      "Sat Nov 18 15:51:55 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "The use of implicit integration of ODE's to avoid the
                 split time constant problem has been thought of as a
                 numerical panacea, especially since the associated
                 matrix reduction problem has been alleviated using
                 highly-efficient computer-generated matrix reduction
                 algorithms. This letter points out a significant
                 exception to this premise, demonstrated in a circuit
                 analysis context.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1970:RAI,
  author =       "C. W. Gear",
  title =        "Rational Approximations by Implicit {Runge--Kutta}
                 Schemes",
  journal =      j-BIT,
  volume =       "10",
  number =       "1",
  pages =        "20--22",
  month =        mar,
  year =         "1970",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/bf01940888",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65.61",
  MRnumber =     "263248",
  MRreviewer =   "J. C. Butcher",
  bibdate =      "Wed Jan 4 18:52:11 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=10&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=10&issue=1&spage=20",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Nordisk Tidskrift for Informationsbehandling",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@TechReport{Gear:1970:SMS,
  author =       "C. W. Gear",
  title =        "The simulation and modeling system: a snapshot view",
  number =       "COO-1469-0158",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "102 + 13",
  month =        feb,
  year =         "1970",
  LCCN =         "T57.6 .S553 1970",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "[AEC report]",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark =       "File No. 824",
}

@TechReport{Gear:1970:SNS,
  author =       "C. William Gear",
  title =        "The simultaneous numerical solution of
                 differential--algebraic equations",
  volume =       "723",
  institution =  "Stanford Linear Accelerator Center, Stanford
                 University",
  address =      "Stanford, CA, USA",
  pages =        "25",
  year =         "1970",
  bibdate =      "Sat Nov 18 16:20:17 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Dill:1971:GSS,
  author =       "C. Dill and C. W. Gear",
  title =        "A Graphical Search for Stiffly Stable Methods for
                 Ordinary Differential Equations",
  journal =      j-J-ACM,
  volume =       "18",
  number =       "1",
  pages =        "75--79",
  month =        jan,
  year =         "1971",
  CODEN =        "JACOAH",
  DOI =          "https://doi.org/10.1145/321623.321631",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Sun Nov 6 12:03:55 1994",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  URL =          "https://dl.acm.org/doi/10.1145/321623.321631",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Assoc. Comput. Mach.",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of the Association for Computing Machinery",
  journal-URL =  "https://dl.acm.org/loi/jacm",
}

@Article{Gear:1971:AAD,
  author =       "C. William Gear",
  title =        "{ACM Algorithm 407}: {DIFSUB} for Solution of Ordinary
                 Differential Equations [{D2}]",
  journal =      j-CACM,
  volume =       "14",
  number =       "3",
  pages =        "185--190",
  month =        mar,
  year =         "1971",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/362566.362571",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 06:43:28 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm14.html#Gear71a;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  note =         "See certification \cite{Nikolai:1973:CAD}.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Univ. Illinois, Urbana, IL, USA",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
  keywords =     "control; differential equations; DIFSUB; estimated
                 error; method; multistep predictor corrector; ordinary
                 differential equations; stiff differential equations;
                 subroutine; subroutines",
  oldlabel =     "Gear71a",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gear71a",
}

@Article{Gear:1971:AIO,
  author =       "C. William Gear",
  title =        "The Automatic Integration of Ordinary Differential
                 Equations",
  journal =      j-CACM,
  volume =       "14",
  number =       "3",
  pages =        "176--179",
  month =        mar,
  year =         "1971",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/362566.362571",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65L05",
  MRnumber =     "52 9612 (388778)",
  bibdate =      "Mon Jan 22 06:43:27 MST 2001",
  bibsource =    "Compendex database;
                 http://dblp.uni-trier.de/db/journals/cacm/cacm14.html#Gear71;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  abstract =     "A criterion for the selection of the order of
                 approximation is proposed. The objective of the
                 criterion is to increase the step size so as to reduce
                 solution time. An option permits the solution of
                 `stiff' differential equations. A program embodying the
                 techniques discussed appears as an algorithm which is
                 specified.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classcodes =   "C4170 (Differential equations)",
  corpsource =   "Stanford Univ., CA, USA",
  fjournal =     "Communications of the Association for Computing
                 Machinery",
  journal-URL =  "https://dl.acm.org/loi/cacm",
  journalabr =   "Commun ACM",
  keywords =     "automatic; boundary value problems; boundary-value
                 problems; CACMA; differential equations; initial value;
                 integration; mathematics; numerical methods; order
                 control; order of approximation; ordinary differential
                 equations; problem; selection; step control; stiff
                 equations",
  oldlabel =     "Gear71",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gear71",
}

@Article{Gear:1971:SNS,
  author =       "C. W. Gear",
  title =        "The simultaneous numerical solution of
                 differential--algebraic equations",
  journal =      j-IEEE-TRANS-CIRCUIT-THEORY,
  volume =       "CT-18",
  number =       "1",
  pages =        "89--95",
  month =        jan,
  year =         "1971",
  CODEN =        "IECTAF",
  DOI =          "https://doi.org/10.1109/TCT.1971.1083221",
  ISSN =         "0018-9324 (print), 2374-9555 (electronic)",
  ISSN-L =       "0018-9324",
  bibdate =      "Mon Nov 20 11:12:26 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "IEEE Transactions on Circuit Theory",
}

@TechReport{Brown:1973:DDP,
  author =       "Roy Leonard Brown and C. William (Charles William)
                 Gear",
  title =        "Documentation for {DFASUB} --- a program for the
                 solution of simultaneous implicit differential and
                 nonlinear equations",
  number =       "UIUCDCS-R-73-575",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "37",
  day =          "1",
  month =        jul,
  year =         "1973",
  LCCN =         "QA76 .I4 no. 575 QA214",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "DFASUB; Equations, Simultaneous; Data processing;
                 Syst{\'e}mes d'{\'e}quations; Informatique",
}

@TechReport{Gear:1973:AEE,
  author =       "C. William (Charles William) Gear",
  title =        "Asymptotic estimation of errors and derivatives for
                 the numerical solution of ordinary differential
                 equations",
  type =         "Report",
  number =       "UIUCDCS-R-73-598 (C00-2383-0001)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "16",
  year =         "1973",
  LCCN =         "QA76 .I4 no. 598 QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1973:EVM,
  author =       "C. William (Charles William) Gear and K. W. Tu",
  title =        "The effect of variable mesh size on the stability of
                 multistep methods",
  number =       "UIUCDCS-R-73-570",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "33",
  year =         "1973",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Report (University of Illinois at Urbana-Champaign.
                 Dept. of Computer Science)",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
}

@Book{Gear:1973:ICSa,
  author =       "C. W. Gear",
  title =        "Introduction to computer science: Instructor's guide",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "62",
  year =         "1973",
  ISBN =         "0-574-18471-6",
  ISBN-13 =      "978-0-574-18471-9",
  LCCN =         "QA76 .G292",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "Informatikunterricht; Programmierung",
}

@Book{Gear:1973:ICSb,
  author =       "Charles W. Gear",
  title =        "Introduction to computer science: short edition",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "xi + 338",
  year =         "1973",
  LCCN =         "QA76 G292I",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Computer science series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1973:ICSc,
  author =       "C. W. Gear",
  title =        "Introduction to Computer Science",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "xiii + 461",
  year =         "1973",
  ISBN =         "0-574-16136-8",
  ISBN-13 =      "978-0-574-16136-9",
  LCCN =         "QA76 .G38",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "SRA computer science series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1973:NNE,
  author =       "C. William (Charles William) Gear",
  title =        "A note on the non-existence of multivalue {$A$}-stable
                 methods of order greater than two",
  number =       "UIUCDCS-R-73-569",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "3",
  year =         "1973",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Report (University of Illinois at Urbana-Champaign.
                 Dept. of Computer Science)",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1973:SCV,
  author =       "C. William (Charles William) Gear and D. S. Watanabe",
  title =        "Stability and convergence of variable order multistep
                 methods",
  type =         "Report",
  number =       "UIUCDCS-R-73-571",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "27",
  year =         "1973",
  LCCN =         "QA76 .I4 no. 571; QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1973:TMI,
  author =       "C. William (Charles William) Gear",
  title =        "Transparency masters: Introduction to computer
                 science",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "126",
  year =         "1973",
  LCCN =         "QA76 .G38",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "1935--",
  remark =       "Cover title.",
  subject =      "Electronic data processing; Electronic digital
                 computers; Computers; Ordinateurs; computers.;
                 Electronic data processing.; Electronic digital
                 computers.",
}

@Book{Gear:1974:COP,
  author =       "Charles W. Gear",
  title =        "Computer Organization and Programming",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  edition =      "Second",
  pages =        "xiv + 454",
  year =         "1974",
  ISBN =         "0-07-023076-5",
  ISBN-13 =      "978-0-07-023076-7",
  LCCN =         "QA76.6 .G38 1974",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "McGraw-Hill computer science series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1974:EEC,
  author =       "C. William Gear",
  editor =       "Roger C. Brown and Donald E. Glaze",
  booktitle =    "Proceedings of the {1974 ACM Annual Conference, San
                 Diego, California, USA, November 1974, Volume 2}",
  title =        "Error estimation and control in {O.D.E.} integration",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "746--746",
  year =         "1974",
  DOI =          "https://doi.org/10.1145/1408800.1408920",
  ISBN =         "1-4503-7850-1",
  ISBN-13 =      "978-1-4503-7850-5",
  LCCN =         "QA76 .B769 1974",
  bibdate =      "Tue Nov 21 06:30:18 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark =       "Abstract only.",
}

@InProceedings{Gear:1974:EED,
  author =       "C. William Gear",
  booktitle =    "Information processing 74 ({Proc}. {IFIP} {Congress},
                 {Stockholm}, 1974)",
  title =        "Estimation of errors and derivatives in ordinary
                 differential equations",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "447--451",
  year =         "1974",
  MRclass =      "65L99",
  MRnumber =     "478645",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1974:EVM,
  author =       "C. W. Gear and K. W. Tu",
  title =        "The Effect of Variable Mesh Size on the Stability of
                 Multistep Methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "11",
  number =       "5",
  pages =        "1025--1043",
  month =        oct,
  year =         "1974",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0711079",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L05",
  MRnumber =     "368436",
  MRreviewer =   "D. J. Evans",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@InProceedings{Gear:1974:SAP,
  author =       "C. W. Gear and K. W. Tu and D. S. Watanabe",
  booktitle =    "Stiff differential systems ({Proc}. {Internat}.
                 {Sympos}., {Wildbad}, {Germany}, 1973)",
  title =        "The stability of automatic programs for numerical
                 problems",
  publisher =    pub-PLENUM,
  address =      pub-PLENUM:adr,
  pages =        "111--121",
  year =         "1974",
  MRclass =      "65L05",
  MRnumber =     "403224",
  MRreviewer =   "H. Shintani",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "The IBM Research Symposia Series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1974:SCV,
  author =       "C. W. Gear and D. S. Watanabe",
  title =        "Stability and Convergence of Variable Order Multistep
                 Methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "11",
  number =       "5",
  pages =        "1044--1058",
  month =        oct,
  year =         "1974",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0711080",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L05",
  MRnumber =     "368437",
  MRreviewer =   "D. J. Evans",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@TechReport{Gear:1974:SMR,
  author =       "C. William (Charles William) Gear",
  title =        "Some matrix results for stable $m$-dimensional
                 rotations",
  type =         "Report",
  number =       "UIUCDCS-R-74-634",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "7",
  year =         "1974",
  LCCN =         "QA76 .I4 no. 634 QA863",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://books.google.com/books?id=qOcVHRThOkEC;
                 http://catalog.hathitrust.org/api/volumes/oclc/1218283.html",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "Rotational motion (Rigid dynamics); Matrices;
                 Eigenvalues; Mouvement rotatoire (Dynamique des corps
                 rigides); Valeurs propres; Eigenvalues.; Matrices.;
                 Rotational motion (Rigid dynamics)",
}

@TechReport{Gear:1974:WDW,
  author =       "C. William (Charles William) Gear",
  title =        "What do we need in programming languages for
                 mathematical software?",
  type =         "Report",
  number =       "UIUCDCS-R-74-652 (COO-2383-0009)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "22 + 1",
  year =         "1974",
  LCCN =         "QA76 .I4 no. 652 QA76.7",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Rice:1974:MSP,
  author =       "John R. Rice and Charles L. Lawson and William J. Cody
                 and C. William Gear and Hans J. Oser and Barry W.
                 Boehm",
  booktitle =    "{American Federation of Information Processing
                 Societies: 1974 National Computer Conference, 6--10 May
                 1974, Chicago, Illinois, USA}",
  title =        "A panel session: Mathematical software: patterns for
                 the future",
  volume =       "43",
  publisher =    pub-AFIPS,
  address =      pub-AFIPS:adr,
  pages =        "971--971",
  year =         "1974",
  DOI =          "https://doi.org/10.1145/1500175.1500360",
  bibdate =      "Tue Nov 21 06:32:31 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib",
  series =       "{AFIPS} Conference Proceedings",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1975:NES,
  author =       "C. W. Gear",
  title =        "Numerical errors in sparse linear equations",
  number =       "F 75/885",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "5",
  year =         "1975",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Knowledge Based Programming Assistant Project [KBPA]",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1976:FDS,
  author =       "C. William (Charles William) Gear",
  title =        "Future developments in stiff integration techniques:
                 stability of methods that do not use an exact
                 {Jacobian}",
  type =         "Report",
  number =       "UIUCDCS-R-76-839 (COO-2383-0035)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "15",
  year =         "1976",
  LCCN =         "QA76 .I4 no. 839; QA371",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1976:ICS,
  author =       "C. William (Charles William) Gear",
  title =        "Introduction to Computer Science",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "xvi + 461",
  year =         "1976",
  ISBN =         "0-574-16136-8 (paperback)",
  ISBN-13 =      "978-0-574-16136-9 (paperback)",
  LCCN =         "QA76.5",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Computer science series / Science Research
                 Associates",
  acknowledgement = ack-nhfb,
  author-dates = "1935--",
  remark =       "With answers to selected exercises. Originally
                 published: 1973.",
  subject =      "Electronic digital computers; Computers; Ordinateurs;
                 computers.; Computers.; Electronic digital computers.",
}

@TechReport{Gear:1976:SNM,
  author =       "C. W. Gear",
  title =        "The stability of numerical methods for second order
                 ordinary differential equations",
  type =         "Report",
  number =       "R 1976/7.",
  institution =  "NASA Langley Research Center. Institute for Computer
                 Applications in Science and Engineering [ICASE]",
  address =      "Hampton, VA, USA",
  pages =        "14",
  year =         "1976",
  bibdate =      "Sat Nov 18 16:41:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Shampine:1976:UVS,
  author =       "Lawrence F. Shampine and C. William (Charles William)
                 Gear",
  title =        "A User's View of Solving Stiff Ordinary Differential
                 Equations",
  type =         "Report",
  number =       "UIUCDCS-R-76-829 (COO-2383-0036)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "iii + 30",
  year =         "1976",
  LCCN =         "QA76 .I4 no. 829 QA372",
  bibdate =      "Mon Nov 20 08:38:41 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1977:ICS,
  author =       "C. William Gear",
  title =        "Introduction to computer science",
  publisher =    "Shuang Yeh",
  address =      "Taipei, Taiwan",
  pages =        "xiii + 461",
  year =         "1977",
  LCCN =         "QA76 G38",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Computer science series",
  acknowledgement = ack-nhfb,
  author-dates = "1935 Charles William",
  remark =       "Reprint. Originally published by science Research
                 Associates, Chicago, 1973.",
  subject =      "Electronic data processing; Electronic digital
                 computers; Computers; Ordinateurs; computers.;
                 Computers; Electronic data processing; Electronic
                 digital computers",
}

@InProceedings{Gear:1977:ODE,
  author =       "C. W. Gear",
  editor =       "Klaus-J{\"u}rgen Bathe and John Tinsley Oden and
                 Walter Wunderlich",
  booktitle =    "Formulations and computational algorithms in finite
                 element analysis ({U.S.--Germany Sympos., Mass. Inst.
                 Tech., Cambridge, Mass., 1976})",
  title =        "Ordinary differential equation techniques for partial
                 differential equations",
  publisher =    pub-MIT,
  address =      pub-MIT:adr,
  bookpages =    "xvi + 1091",
  pages =        "691--717",
  year =         "1977",
  ISBN =         "0-262-02127-7",
  ISBN-13 =      "978-0-262-02127-2",
  LCCN =         "TA347.F5 F67 1977",
  MRclass =      "65M20",
  MRnumber =     "474854",
  MRreviewer =   "H.-O. Kreiss",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1977:SCB,
  author =       "C. W. Gear",
  title =        "Simulation: Conflicts between real-time and software",
  crossref =     "Rice:1977:MSI",
  pages =        "??--??",
  year =         "1977",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Hamlin:1977:RSHa,
  author =       "Griffith {Hamlin, Jr.} and C. W. Gear",
  title =        "Raster-scan hidden surface algorithm techniques",
  type =         "Report",
  number =       "R 1977/1",
  institution =  "NASA Langley Research Center. Institute for Computer
                 Applications in Science and Engineering [ICASE]",
  address =      "Hampton, VA, USA",
  pages =        "27",
  year =         "1977",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Hamlin:1977:RSHb,
  author =       "Griffith {Hamlin, Jr.} and C. W. Gear",
  title =        "Raster-scan hidden surface algorithms",
  journal =      j-COMP-GRAPHICS,
  volume =       "11",
  number =       "2",
  pages =        "206--213",
  month =        jul,
  year =         "1977",
  CODEN =        "CGRADI, CPGPBZ",
  ISSN =         "0097-8930 (print), 1558-4569 (electronic)",
  ISSN-L =       "0097-8930",
  bibsource =    "Graphics/imager/imager.77.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siggraph.bib",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  conference =   "held in San Jose, California; 20--22 July 1977",
  fjournal =     "Computer Graphics",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J166",
  keywords =     "line printer output",
}

@Book{Gear:1978:AAC,
  author =       "C. W. Gear",
  title =        "Applications and Algorithms in Computer Science",
  volume =       "A,1",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "vi + 179",
  year =         "1978",
  ISBN =         "0-574-21189-6",
  ISBN-13 =      "978-0-574-21189-7",
  LCCN =         "QA76 .G37",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Introduction to computers, structured programming, and
                 applications",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1978:AAS,
  author =       "Charles W. Gear",
  title =        "Applications and algorithms in science and
                 engineering",
  volume =       "A2",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "vi + 179",
  year =         "1978",
  ISBN =         "0-574-21188-8 (paperback)",
  ISBN-13 =      "978-0-574-21188-0 (paperback)",
  LCCN =         "QA76.5; Q183.9 .G4",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Introduction to computers, structured programming, and
                 applications",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1978:BLM,
  author =       "Charles W. Gear",
  title =        "{BASIC} language manual",
  volume =       "L4",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "67",
  year =         "1978",
  ISBN =         "0-574-21195-0",
  ISBN-13 =      "978-0-574-21195-8",
  LCCN =         "QA76.73.B3 G4",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Introduction to computers, structured programming, and
                 applications",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1978:FWL,
  author =       "Charles W. Gear",
  title =        "{FORTRAN} and {WATFIV} language manual",
  volume =       "L1",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "108",
  year =         "1978",
  ISBN =         "0-574-21192-6",
  ISBN-13 =      "978-0-574-21192-7",
  LCCN =         "QA76.73.F25 G4",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Introduction to computers, structured programming, and
                 applications",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1978:IG,
  author =       "Charles W. Gear",
  title =        "Instructor's Guide",
  volume =       "I",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "44",
  year =         "1978",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Introduction to computers, structured programming, and
                 applications",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1978:PP,
  author =       "Charles W. Gear",
  title =        "{PL/1} and {PL??}",
  volume =       "L3",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "110",
  year =         "1978",
  ISBN =         "0-574-21194-2",
  ISBN-13 =      "978-0-574-21194-1",
  LCCN =         "QA76.73.P23 G43",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Introduction to computers, structured programming, and
                 applications",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1978:RKS,
  author =       "C. William (Charles William) Gear",
  title =        "{Runge--Kutta} starters for multistep methods",
  type =         "Report",
  number =       "UIUCDCS-R-78-938",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "34",
  year =         "1978",
  LCCN =         "QA76 .I4 no. 938 QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1978:SNM,
  author =       "C. William Gear",
  title =        "The Stability of Numerical Methods for Second Order
                 Ordinary Differential Equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "15",
  number =       "1",
  pages =        "188--197",
  month =        feb,
  year =         "1978",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0715012",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L05",
  MRnumber =     "468191",
  MRreviewer =   "Siegfried Filippi",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@TechReport{Gear:1978:SVS,
  author =       "Charles William Gear",
  title =        "Stability of variable-step methods for ordinary
                 differential equations",
  volume =       "931",
  number =       "UIUCDCS-R-78-1723",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "11",
  year =         "1978",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "UILU-ENG; UIUCDCS-R-78",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gustavson:1978:AAB,
  author =       "Frances G. Gustavson and Charles W. Gear",
  title =        "Applications and Algorithms in Business",
  volume =       "A3",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "viii + 134",
  year =         "1978",
  ISBN =         "0-574-21190-X",
  ISBN-13 =      "978-0-574-21190-3",
  LCCN =         "HF5548.2 .G87",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Introduction to computers, structured programming, and
                 applications",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1979:EN,
  author =       "C. W. Gear",
  title =        "{Editor}'s Note",
  journal =      j-TOMS,
  volume =       "5",
  number =       "4",
  pages =        "373--373",
  month =        dec,
  year =         "1979",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355853.355854",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sun Aug 28 00:32:50 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}

@TechReport{Gear:1979:IVP,
  author =       "C. William (Charles William) Gear",
  title =        "Initial value problems: practical theoretical
                 developments",
  type =         "Report",
  number =       "UIUCDCS-R-79-962 (UILU-ENG 79-1708)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "32",
  year =         "1979",
  LCCN =         "QA76 .I4 no. 962 QA378",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "Several recent developments in the theory of multistep
                 initial-value solvers that are useful for the
                 implementation of practical codes are surveyed. These
                 developments are concerned with stability of variable
                 step/order methods, starting at a high order (and,
                 hence, with a large step), and the integration of
                 problems with rapidly oscillating solutions.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1979:NCR,
  author =       "C. W. Gear and J. M. Ortega and B. Parlett and J. R.
                 Rice and M. Schultz and L. F. Shampine and P. Wolfe",
  title =        "Numerical Computation: a Report on Past, Present, and
                 Future Research",
  journal =      j-SIGNUM,
  volume =       "14",
  number =       "si-1",
  pages =        "1--48",
  month =        feb,
  year =         "1979",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/1057517.1057518",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Sat Dec 29 14:38:45 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  note =         "Also published in \cite{Gear:1980:NCR}.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
}

@TechReport{Gear:1979:NSS,
  author =       "C. W. Gear",
  title =        "Numerical Software: Science or Alchemy?",
  number =       "UIUCDCS-R-79-969",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "25",
  year =         "1979",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "This is a summary of the Forsythe lecture presented at
                 the Computer Science Conference, Dayton, Ohio, in
                 February 1979. It examines the activity called
                 Numerical Software, first to see what distinguishes
                 numerical software from any other form of software and
                 why numerical software is so much more difficult. Then
                 it examines the scientific basis of such software and
                 discusses that is lacking in that basis.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1979:OTA,
  author =       "C. William (Charles William) Gear",
  title =        "{ODEs}, is there anything left to do?",
  type =         "Report",
  number =       "UIUCDCS-R-79-983 (UILU-ENG 79 1731, COO-2383-0061)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "28 + 2",
  year =         "1979",
  LCCN =         "QA76 .I4 no. 983 QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "Two decades ago many people thought that there was
                 very little left to occupy the researcher in the
                 numerical initial-value problem for ordinary
                 differential equations, but there has since been an
                 enormous increase in the effort devoted to this problem
                 and related software. The question is whether
                 everything is finally done so that more difficult areas
                 can be studied. The development of numerical solution
                 techniques is examined from the identification of a
                 problem to the never-final preparation of automatic
                 codes for the solution of classes of similar problems.
                 A number of ODE problems that are only a part of the
                 way along this path of development are discussed. These
                 problems include ones with highly oscillatory
                 solutions, ones with frequent discontinuities, and ones
                 in which very little accuracy is needed (and which
                 should be integrated at low cost).",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Rice:1979:NCN,
  author =       "J. R. Rice and C. W. Gear and J. Ortega and B. Parlett
                 and M. Schultz and L. F. Shampine and P. Wolfe and J.
                 F. Traub",
  title =        "Numerical computation: its nature and research
                 directions",
  journal =      j-SIGNUM,
  volume =       "14",
  number =       "3S (Special issue)",
  pages =        "1--48",
  month =        feb,
  year =         "1979",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/1057517.1057518",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:06 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  URL =          "https://dl.acm.org/doi/10.1145/1057517.1057518",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classcodes =   "C1180 (Optimisation techniques); C4140 (Linear
                 algebra); C4170 (Differential equations)",
  corpsource =   "Purdue Univ., Lafayette, IN, USA",
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "curves; graphics; linear algebra; mathematical
                 software; nonlinear equations; numerical computation;
                 optimisation; optimization; ordinary differential
                 equations; partial differential equations; surfaces",
  treatment =    "G General Review",
}

@Article{Shampine:1979:UVS,
  author =       "L. F. Shampine and C. W. Gear",
  title =        "A User's View of Solving Stiff Ordinary Differential
                 Equations",
  journal =      j-SIAM-REVIEW,
  volume =       "21",
  number =       "1",
  pages =        "1--17",
  month =        jan,
  year =         "1979",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1021001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65L05",
  MRnumber =     "80c:65158 (516380)",
  bibdate =      "Sat Mar 29 09:52:58 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/21/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1979",
}

@Book{Skeel:1979:SMN,
  editor =       "R. D. Skeel and C. William (Charles William) Gear and
                 D. S. Watanabe",
  title =        "{1979 SIGNUM Meeting on Numerical Ordinary
                 Differential Equations: April 3--5, 1979, University
                 Inn, Champaign, Illinois}",
  publisher =    pub-NTIS,
  address =      pub-NTIS:adr,
  pages =        "2 microfiches (128 frames)",
  year =         "1979",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  editor-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  meetingname =  "SIGNUM Meeting on Numerical Ordinary Differential
                 Equations (1979: Champaign, Ill.)",
  subject =      "Differential equations; Numerical solutions;
                 {\'E}quations diff{\'e}rentielles; Solutions
                 num{\'e}riques; Numerical solutions.",
}

@TechReport{Gear:1980:ADT,
  author =       "C. William (Charles William) Gear",
  title =        "Automatic detection and treatment of oscillatory
                 and\slash or stiff ordinary differential equations",
  type =         "Report",
  number =       "UIUCDCS-R-80-1019 (COO-2383-0068, Conf-8004115-1,
                 UILU-ENG-80-1721)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "21",
  month =        jun,
  year =         "1980",
  LCCN =         "QA76 .I4 no. 1019 QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://books.google.com/books?id=EOzcR\_C2tk8C;
                 http://catalog.hathitrust.org/api/volumes/oclc/7575084.html",
  abstract =     "The next generation of ODE software can be expected to
                 detect special problems and to adapt to their needs.
                 The low-cost, automatic detection of oscillatory
                 behavior, the determination of its period, and methods
                 for its subsequent efficient integration are addressed
                 here, along with stiffness detection. In the first
                 phase, the method for oscillatory problems discussed
                 examines the output of any integrator to determine if
                 the output is nearly periodic. At the point this answer
                 is positive, the second phase is entered and an
                 automatic, nonstiff, multirevolutionary method is
                 invoked. This requires the occasional solution of a
                 nearly periodic initial-value problem over one period
                 by a standard method and the re-determination of its
                 period. Because the multirevolutionary method uses a
                 very large step, the problem has a high probability of
                 being stiff in this second phase. Hence, it is
                 important to detect if stiffness is present so that an
                 appropriate stiff, multirevolutionary method can be
                 selected.",
  acknowledgement = ack-nhfb,
  author-dates = "1935--",
  remark =       "Presented at the Differential Equation Workshop,
                 Center for Interdisciplinary Research (Zif), University
                 of Bielefeld, West Germany, April 21, 1980.",
  xxpages =      "25",
}

@TechReport{Gear:1980:AMMa,
  author =       "C. W. Gear",
  title =        "Automatic Multirate Methods for Ordinary Differential
                 Equations",
  number =       "UIUCDCS-R-80-1000 (UILU-ENG 80 1701, COO-2383-0062)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "14",
  year =         "1980",
  LCCN =         "QA76 .I4 no. 1000 QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1980:AMMb,
  author =       "C. William Gear",
  editor =       "Simon H. Lavington",
  booktitle =    "Information Processing, Proceedings of the {8th IFIP
                 Congress 1980, Tokyo, Japan --- October 6-9, 1980 and
                 Melbourne, Australia --- October 14-17, 1980}",
  title =        "Automatic Multirate Methods for Ordinary Differential
                 Equation",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "xiii + 1070",
  pages =        "717--722",
  year =         "1980",
  ISBN =         "0-444-86034-7",
  ISBN-13 =      "978-0-444-86034-7",
  LCCN =         "QA75.5 .I532 1980",
  bibdate =      "Tue Nov 21 06:26:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1980:BRN,
  author =       "C. W. Gear",
  title =        "Book Review: {{\booktitle{Numerical Solution of
                 Differential Equations}} (Isaac Fried)}",
  journal =      j-SIAM-REVIEW,
  volume =       "22",
  number =       "4",
  pages =        "512--513",
  month =        oct,
  year =         "1980",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1022102",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:14 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/22/4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "October 1980",
}

@InProceedings{Gear:1980:IVP,
  author =       "C. W. Gear",
  booktitle =    "Computational techniques for ordinary differential
                 equations ({Proc. Conf. Univ. Manchester, Manchester,
                 1978})",
  title =        "Initial value problems: practical theoretical
                 developments",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "viii + 303",
  pages =        "143--162",
  year =         "1980",
  ISBN =         "0-12-285780-1",
  ISBN-13 =      "978-0-12-285780-5",
  LCCN =         "QA370 .C64 1978",
  MRclass =      "65L05 (65L20)",
  MRnumber =     "582976",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Inst. Math. Appl. Conf. Ser.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1980:MIS,
  author =       "C. W. Gear",
  title =        "Method and Initial Stepsize Selection in Multistep
                 {ODE} Solvers",
  type =         "Report",
  number =       "UIUCDCS-R-80-1006 (UILU-ENG 80 1708, COO-2383-0066)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "33",
  month =        feb,
  year =         "1980",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InCollection{Gear:1980:NCR,
  author =       "C. W. Gear and J. M. Ortega and B. Parlett and J. R.
                 Rice and M. Schultz and L. F. Shampine and P. Wolfe",
  title =        "Numerical Computation: a Report on Past, Present, and
                 Future Research",
  crossref =     "Arden:1980:WCA",
  pages =        "51--136",
  year =         "1980",
  bibdate =      "Sat Dec 29 14:40:07 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  note =         "Also published in \cite{Gear:1979:NCR}.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InCollection{Gear:1980:NSS,
  author =       "C. W. Gear",
  editor =       "Marshall C. Yovits",
  booktitle =    "Advances in Computers",
  title =        "Numerical Software: Science or Alchemy?",
  volume =       "19",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "229--248",
  year =         "1980",
  DOI =          "https://doi.org/10.1016/s0065-2458(08)60035-2",
  ISSN =         "0065-2458",
  ISSN-L =       "0065-2458",
  bibdate =      "Tue Nov 21 06:18:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1980:RKS,
  author =       "C. W. Gear",
  title =        "{Runge--Kutta} Starters for Multistep Methods",
  journal =      j-TOMS,
  volume =       "6",
  number =       "3",
  pages =        "263--279",
  month =        sep,
  year =         "1980",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355900.355901",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65L05",
  MRnumber =     "81m:65119 (585338)",
  MRreviewer =   "J. Sprekels",
  bibdate =      "Mon Aug 29 10:57:24 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "integration; multistep; ordinary differential
                 equations; Runge--Kutta",
  reviewer =     "J. Sprekels",
}

@TechReport{Gear:1980:UMD,
  author =       "C. W. Gear",
  title =        "Unified Modified Divided Difference Implementation of
                 {Adams} and {BDF}: Formulas",
  type =         "Report",
  number =       "UIUCDCS-R-80-1014 (UILU-ENG 80 1711, C00-2383-0067)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "23",
  month =        mar,
  year =         "1980",
  bibdate =      "Mon Nov 20 07:37:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  xxpages =      "24",
}

@InProceedings{Hamlin:1980:RSH,
  author =       "G. {Hamlin, Jr.} and C. W. Gear",
  title =        "Raster-scan hidden surface algorithm techniques",
  crossref =     "Freeman:1980:TSR",
  pages =        "??--??",
  year =         "1980",
  bibdate =      "Mon Nov 20 09:05:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1981:CMS,
  author =       "C. W. Gear",
  title =        "Computational Methods and Software for {ODEs} and
                 Their Applications: Annual Progress Report",
  number =       "DOE/ER/02383-T4",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "6",
  year =         "1981",
  bibdate =      "Mon Nov 20 07:41:02 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1981:DAE,
  author =       "C. W. Gear and H. H. Hsu and L. Petzold",
  editor =       "????",
  booktitle =    "Proceedings of the {Oberwolfach Workshop on Stiff
                 Equations (June 29--July 3, 1981, Oberwolfach, West
                 Germany)}",
  title =        "Differential--algebraic equations revisited",
  publisher =    "????",
  address =      "????",
  pages =        "??--??",
  year =         "1981",
  bibdate =      "Mon Nov 20 11:14:48 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1981:ISL,
  author =       "C. W. Gear and Y. Saad",
  title =        "Iterative solution of linear equations in {ODE}
                 codes",
  type =         "Report",
  number =       "UIUCDCS-R-81-1054",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "33",
  month =        jan,
  year =         "1981",
  LCCN =         "QA76 .I4 no. 1054 QA297.8",
  bibdate =      "Mon Nov 20 07:42:09 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1981:NSO,
  author =       "C. W. Gear",
  title =        "Numerical Solution of Ordinary Differential Equations:
                 {Is} There Anything Left To Do?",
  journal =      j-SIAM-REVIEW,
  volume =       "23",
  number =       "1",
  pages =        "10--24",
  month =        jan,
  year =         "1981",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1023002",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65Lxx",
  MRnumber =     "82c:65043 (605438)",
  MRreviewer =   "J. R. Cash",
  bibdate =      "Sat Mar 29 09:53:16 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/23/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Review. A Publication of the Society for
                 Industrial and Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1981",
}

@TechReport{Gear:1981:SOD,
  author =       "C. W. Gear and O. Oesterby",
  title =        "Solving ordinary differential equations with
                 discontinuities",
  type =         "Report",
  number =       "UIUCDCS-R-81-1064 (UILU-ENG 81 1727, COO-2383-0079)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "67",
  month =        sep,
  year =         "1981",
  LCCN =         "QA76 .I4 no. 1064 QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1982:ADT,
  author =       "C. W. Gear",
  booktitle =    "Numerical integration of differential equations and
                 large linear systems ({Bielefeld}, 1980)",
  title =        "Automatic detection and treatment of oscillatory
                 and\slash or stiff ordinary differential equations",
  journal =      j-LECT-NOTES-MATH,
  volume =       "968",
  pages =        "190--206",
  year =         "1982",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0064888",
  ISBN =         "3-540-11970-1 (print), 3-540-39374-9 (e-book)",
  ISBN-13 =      "978-3-540-11970-8 (print), 978-3-540-39374-0
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 968",
  MRclass =      "65L05",
  MRnumber =     "699637 (84d:65045)",
  MRreviewer =   "V. I. Bykov",
  bibdate =      "Fri May 9 19:07:37 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0064888/",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  book-DOI =     "https://doi.org/10.1007/BFb0064877",
  book-URL =     "http://www.springerlink.com/content/978-3-540-39374-0",
  fjournal =     ser-LECT-NOTES-MATH,
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@InProceedings{Gear:1982:AMH,
  author =       "C. W. Gear and K. A. Gallivan",
  title =        "Automatic methods for highly oscillatory ordinary
                 differential equations",
  crossref =     "Watson:1982:NAP",
  pages =        "115--124",
  year =         "1982",
  DOI =          "https://doi.org/10.1007/BFb0093152",
  MRclass =      "65L05",
  MRnumber =     "654346 (83f:65108)",
  MRreviewer =   "J. E. Spingarn",
  bibdate =      "Fri May 9 19:07:38 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0093152/",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1982:BFS,
  author =       "C. W. Gear",
  title =        "Boot finding in simulation and {ODE} solution",
  type =         "Report",
  number =       "UIUCDCS-R-82-1116",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "8",
  month =        dec,
  year =         "1982",
  LCCN =         "QA76 .I4 NO.1116",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1982:DAS,
  author =       "C. W. Gear and L. R. Petzold",
  title =        "Differential\slash algebraic systems and matrix
                 pencils",
  type =         "Report",
  number =       "UIUCDCS-R-82-1086 (UILU-ENG 82 1707, COO-2383-0083)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "27",
  month =        apr,
  year =         "1982",
  LCCN =         "QA76 .I4 NO.1086",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark =       "To appear in the proceedings of Conference on Matrix
                 Pencils, Pitea, Sweden, March 1982 (Springer-Verlag in
                 Lecture notes mathematics series).",
}

@TechReport{Gear:1982:ESC,
  author =       "C. W. Gear",
  title =        "Efficient Stepsize Control for Output and
                 Discontinuities",
  number =       "UIUCDCS-R-82-1111 (UILU-ENG 82 1737, COO-2383-0090)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "8",
  month =        nov,
  year =         "1982",
  LCCN =         "QA76 .I4 NO.1111",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1982:OMS,
  author =       "C. W. Gear and L. R. Petzold",
  title =        "{ODE} Methods for the Solution of Differential\slash
                 Algebraic Systems",
  type =         "Report",
  number =       "UIUCDCS-R-82-1103 (UILU-ENG 82 1727)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "55",
  month =        sep,
  year =         "1982",
  LCCN =         "QA76 .I4 no. 1103 QA378",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1982:RFS,
  author =       "C. William (Charles William) Gear",
  title =        "Root finding in simulation and {ODE} solution",
  number =       "UIUCDCS-R-82-1116 (UILU-ENG 82 1743)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "6 + 3",
  month =        dec,
  year =         "1982",
  LCCN =         "QA76 .I4 NO.1116",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1982:SIO,
  author =       "C. William (Charles William) Gear and Linda Ruth
                 Petzold",
  title =        "Singular Implicit Ordinary Differential: Equations and
                 Constraints",
  type =         "Report",
  number =       "UIUCDCS-R-82-1110 (UILU-ENG 82 1738, COO-2383-0089)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "11",
  month =        nov,
  year =         "1982",
  LCCN =         "QA1 I29r4 UIUCDCS-R-82-1110",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1982:SSW,
  author =       "C. W. Gear",
  title =        "Stiff software: what do we have and what do we need?",
  type =         "Report",
  number =       "UIUCDCS-R-82-1109",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "35",
  month =        nov,
  year =         "1982",
  LCCN =         "QA76 .I4 no. 1109 QA371",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1983:DAS,
  author =       "C. W. Gear and L. R. Petzold",
  title =        "Differential\slash algebraic systems and matrix
                 pencils",
  crossref =     "Kaagstrom:1983:MPP",
  volume =       "973",
  pages =        "75--89",
  year =         "1983",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0062095",
  bibdate =      "Fri May 9 19:07:41 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://link.springer.com/chapter/10.1007/BFb0062095/",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Article{Gear:1983:ISL,
  author =       "C. W. Gear and Y. Saad",
  title =        "Iterative solution of linear equations in {ODE}
                 codes",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "4",
  number =       "4",
  pages =        "583--601",
  month =        dec,
  year =         "1983",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0904040",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65L05",
  MRnumber =     "725654 (85a:65104)",
  MRreviewer =   "Luciano Biasini",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "B0290F (Interpolation and function approximation);
                 B0290P (Differential equations); C4130 (Interpolation
                 and function approximation); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL,
                 USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "codes; iterative methods; Jacobian; linear
                 differential equations; nonlinear equation; ODE codes;
                 quasiNewton method; still equation",
  onlinedate =   "December 1983",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gear:1983:NSO,
  author =       "C. W. Gear",
  title =        "Numerical solution of ordinary differential equations:
                 is there anything left to do?",
  journal =      "Applied Mathematics \& Mathematics of Computation.
                 Yingyong Shuxue yu Jisuan Shuxue",
  number =       "4",
  pages =        "33--42",
  year =         "1983",
  MRclass =      "65L05",
  MRnumber =     "749085",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Translated from the English by Li Xing Chen",
  acknowledgement = ack-nhfb,
  ajournal =     "Appl. Math. Math. Comput.",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Applied Mathematics \& Mathematics of Computation.
                 Yingyong Shuxue yu Jisuan Shuxue",
}

@Book{Gear:1983:PP,
  author =       "C. W. Gear",
  title =        "Programming in {Pascal}",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "248",
  year =         "1983",
  ISBN =         "0-574-21360-0",
  ISBN-13 =      "978-0-574-21360-0",
  LCCN =         "QA76.73.P2 G4 1983",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1983:SIO,
  author =       "C. W. Gear and L. R. Petzold",
  editor =       "V. (Victor) Pereyra and A. (Alfonso) Reinoza",
  title =        "Singular implicit ordinary differential equations and
                 constraints",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1005",
  pages =        "120--127",
  year =         "1983",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0112529",
  ISBN =         "3-540-12334-2 (print), 3-540-40967-X (e-book)",
  ISBN-13 =      "978-3-540-12334-7 (print), 978-3-540-40967-0
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 1005",
  bibdate =      "Fri May 9 19:07:42 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0112529/",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  book-DOI =     "https://doi.org/10.1007/BFb0112521",
  book-URL =     "http://www.springerlink.com/content/978-3-540-40967-0",
  fjournal =     ser-LECT-NOTES-MATH,
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@InProceedings{Gear:1984:DAE,
  author =       "C. W. Gear",
  title =        "Differential--algebraic equations",
  crossref =     "Haug:1984:CAA",
  pages =        "??--??",
  year =         "1984",
  bibdate =      "Mon Nov 20 09:23:36 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1984:ENS,
  author =       "C. W. Gear",
  title =        "Erratum: {``Numerical solution of ordinary
                 differential equations: is there anything left to do?''
                 [Appl. Math. Math. Comput. {\bf 1983}, no. 4,
                 33--42]}",
  journal =      "Applied Mathematics \& Mathematics of Computation.
                 Yingyong Shuxue yu Jisuan Shuxue",
  number =       "1",
  pages =        "10",
  year =         "1984",
  DOI =          "https://doi.org/10.1016/0010-4655(83)90128-5",
  MRclass =      "65L05",
  MRnumber =     "768440",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Appl. Math. Math. Comput.",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Applied Mathematics \& Mathematics of Computation.
                 Yingyong Shuxue yu Jisuan Shuxue",
}

@Article{Gear:1984:MLM,
  author =       "C. W. Gear and D. R. Wells",
  title =        "Multirate linear multistep methods",
  journal =      j-BIT,
  volume =       "24",
  number =       "4",
  pages =        "484--502",
  month =        dec,
  year =         "1984",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01934907",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65L05 (34A50 65-04 65V05)",
  MRnumber =     "86a:65057 (764821)",
  MRreviewer =   "S. Sallam",
  bibdate =      "Wed Jan 4 18:52:18 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=24&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=24&issue=4&spage=484",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "BIT. Nordisk Tidskrift for Informationsbehandling
                 (BIT)",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@TechReport{Gear:1984:MSI,
  author =       "C. William (Charles William) Gear",
  title =        "Maintaining solution invariants in the numerical
                 solution of {ODEs}",
  type =         "Technical memorandum",
  number =       "40",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  pages =        "14",
  year =         "1984",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1984:NSP,
  author =       "C. W. Gear",
  title =        "The numerical solution of problems which may have high
                 frequency components",
  crossref =     "Haug:1984:CAA",
  pages =        "??--??",
  year =         "1984",
  bibdate =      "Mon Nov 20 09:23:36 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1984:OMS,
  author =       "C. W. Gear and L. R. Petzold",
  title =        "{ODE} Methods for the Solution of Differential\slash
                 Algebraic Systems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "21",
  number =       "4",
  pages =        "716--728",
  month =        aug,
  year =         "1984",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0721048",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L99",
  MRnumber =     "85i:65112 (749366)",
  MRreviewer =   "G. K. Gupta",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Gear:1984:SOD,
  author =       "C. William Gear and Ole {\O}sterby",
  title =        "Solving Ordinary Differential Equations with
                 Discontinuities",
  journal =      j-TOMS,
  volume =       "10",
  number =       "1",
  pages =        "23--44",
  month =        mar,
  year =         "1984",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356068.356071",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65L05",
  MRnumber =     "86h:65097 (786166)",
  MRreviewer =   "W. C. Rheinboldt",
  bibdate =      "Sun Sep 04 20:02:26 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  reviewer =     "W. C. Rheinboldt",
}

@TechReport{Duff:1985:CSIa,
  author =       "Iain S. Duff and C. W. Gear",
  title =        "Computing the structural index",
  type =         "Report",
  number =       "137",
  institution =  "AERE Harwell. Computer Science and Systems Division",
  address =      "Harwell, UK",
  pages =        "13",
  year =         "1985",
  bibdate =      "Sat Nov 18 15:59:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
}

@TechReport{Duff:1985:CSIb,
  author =       "Iain S. Duff and C. W. Gear",
  title =        "Computing the structural index",
  type =         "Technical memorandum",
  number =       "50",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  pages =        "13",
  year =         "1985",
  bibdate =      "Sat Nov 18 15:59:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
}

@TechReport{Duff:1985:SRIa,
  author =       "Iain S. Duff and A. M. Erisman and C. W. Gear and J.
                 K. Reid",
  title =        "Some remarks on inverses of sparse matrices",
  number =       "CSS 171",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  year =         "1985",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Duff:1985:SRIb,
  author =       "Iain S. Duff and A. M. Erisman and C. William (Charles
                 William) Gear and John Ker Reid",
  title =        "Some remarks on inverses of sparse matrices",
  type =         "Technical memorandum",
  number =       "51",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  pages =        "11",
  year =         "1985",
  bibdate =      "Sat Nov 18 16:02:29 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1985:AIE,
  author =       "C. W. Gear and B. Leimkuhler and G. K. Gupta",
  booktitle =    "Proceedings of the international conference on
                 computational and applied mathematics ({Leuven},
                 1984)",
  title =        "Automatic integration of {Euler--Lagrange} equations
                 with constraints",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "12--13",
  number =       "??",
  pages =        "77--90",
  month =        may,
  year =         "1985",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(85)90008-1",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65L05",
  MRnumber =     "793945",
  MRreviewer =   "L. F. Shampine",
  bibdate =      "Sat Feb 25 12:27:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042785900081",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gear:1985:BRD,
  author =       "C. W. Gear",
  title =        "Book Review: {{\booktitle{Discretization Methods for
                 Stable Initial Value Problems}} (Eckart Gekeler)}",
  journal =      j-SIAM-REVIEW,
  volume =       "27",
  number =       "2",
  pages =        "269--269",
  month =        "????",
  year =         "1985",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1027079",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:55 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/27/2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "June 1985",
}

@Book{Gear:1985:COP,
  author =       "Charles W. Gear",
  title =        "Computer Organization and Programming: with an
                 Emphasis on the Personal Computer",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  edition =      "Fourth",
  pages =        "xiii + 414",
  year =         "1985",
  ISBN =         "0-07-023049-8",
  ISBN-13 =      "978-0-07-023049-1",
  LCCN =         "QA76.6 .G38 1985",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "McGraw Hill computer science series; McGraw Hill
                 series in computer organization and architecture",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "Computerarchitektur; Mikrocomputer; Programmierung;
                 Assembler",
}

@TechReport{Gupta:1985:ILM,
  author =       "G. K. Gupta and C. W. Gear and B. Leimkuhler",
  title =        "Implementing Linear Multistep Formulas for Solving
                 {DAEs}",
  type =         "Report",
  number =       "UIUCDCS-R-85-1205 (UILU-ENG-85-1709, COO-2383-0107)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "32",
  month =        apr,
  year =         "1985",
  LCCN =         "QA76 .I4 no. 1205 QA372",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Duff:1986:CSI,
  author =       "I. S. Duff and C. W. Gear",
  title =        "Computing the structural index",
  journal =      j-SIAM-J-ALG-DISC-METH,
  volume =       "7",
  number =       "4",
  pages =        "594--603",
  year =         "1986",
  CODEN =        "SJAMDU",
  DOI =          "https://doi.org/10.1137/0607066",
  ISSN =         "0196-5212 (print), 2168-345X (electronic)",
  ISSN-L =       "0196-5212",
  MRclass =      "65F30 (15A06)",
  MRnumber =     "87k:65052 (857595)",
  bibdate =      "Sat Apr 11 10:02:33 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjalgdiscmeth.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Algebraic and Discrete Methods",
  journal-URL =  "http://epubs.siam.org/loi/sjamdu",
}

@Book{Gear:1986:CAAa,
  author =       "Charles William Gear",
  title =        "Computer applications and algorithms",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "x + 244",
  year =         "1986",
  ISBN =         "0-574-21970-6",
  ISBN-13 =      "978-0-574-21970-1",
  LCCN =         "QA76.6 .G375 1986",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Book{Gear:1986:CAAb,
  author =       "C. William Gear",
  title =        "Computer Applications and Algorithms",
  publisher =    pub-SCI-RES-ASSOC,
  address =      pub-SCI-RES-ASSOC:adr,
  pages =        "????",
  month =        feb,
  year =         "1986",
  ISBN =         "0-02-341206-2",
  ISBN-13 =      "978-0-02-341206-6",
  LCCN =         "????",
  bibdate =      "Fri Sep 26 18:40:50 MDT 1997",
  bibsource =    "http://www.amazon.com/exec/obidos/ISBN=0023412062/wholesaleproductA/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1986:DAE,
  author =       "C. W. Gear",
  title =        "Differential-Algebraic Equation Index
                 Transformations",
  type =         "Report",
  number =       "UIUCDCS-R-86-1314 (UILU-ENG-86-1780 COO-2383-0126)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "17",
  month =        dec,
  year =         "1986",
  LCCN =         "QA76 .I4 no. 1314 QA372.5",
  bibdate =      "Mon Nov 20 08:01:41 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1986:MSI,
  author =       "C. W. Gear",
  title =        "Maintaining solution invariants in the numerical
                 solution of {ODEs}",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "3",
  pages =        "734--743",
  month =        jul,
  year =         "1986",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0907050",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65M99",
  MRnumber =     "87h:65171 (848561)",
  MRreviewer =   "I. Norman Katz",
  bibdate =      "Mon Mar 31 09:59:42 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Comput. Sci., Illinois Univ., Urbana, IL,
                 USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "chemical kinetic problems; differential equations;
                 equality invariants; inequality invariants; multistep
                 methods; numerical consistency; numerical methods;
                 numerical solution; ODEs; one-step methods; solution
                 invariants",
  onlinedate =   "July 1986",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Gear:1986:PPO,
  author =       "C. W. Gear",
  title =        "The Potential for Parallelism in Ordinary Differential
                 Equations",
  type =         "Report",
  number =       "UIUCDCS-R-86-1246",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "18",
  year =         "1986",
  LCCN =         "QA76.U5 no. 1246",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1986:RTI,
  author =       "C. W. Gear and Dianhan Wang",
  title =        "Real-Time Integration Formulas with: Off-Step Inputs
                 and Their Stability",
  type =         "Report",
  number =       "UIUCDCS-R-86-1277 (UILU-ENG-86-1731 COO-2383-0123)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "12 + 8",
  month =        jun,
  year =         "1986",
  LCCN =         "QA1 I29r4",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Chronopoulos:1987:IPS,
  author =       "A. T. Chronopoulos and C. W. Gear",
  title =        "Implementation of Preconditioned $s$-Step Conjugate
                 Gradient: Methods on a Multiprocessor System with
                 Memory Hierarchy",
  type =         "Report",
  number =       "UIUCDCS-R-87-1347",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "26",
  month =        aug,
  year =         "1987",
  LCCN =         "QA76 .I4 no. 1347; QA218",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "Conjugate gradient methods; Data processing;
                 Multiprocessors; Memory hierarchy (Computer science);
                 M{\'e}thode du gradient conjugu{\'e}; Informatique;
                 Multiprocesseurs; Hi{\'e}rarchie de m{\'e}moires
                 (Informatique); Data processing; Memory hierarchy
                 (Computer science); Multiprocessors",
}

@TechReport{Chronopoulos:1987:ISM,
  author =       "A. T. Chronopoulos and C. W. Gear",
  title =        "Implementation of $s$-Step Methods on Parallel Vector
                 Architectures",
  type =         "Report",
  number =       "UIUCDCS-R-87-1346 (UILU-ENG-87-1734, DOE/ER/25026-7)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "24",
  month =        jun,
  year =         "1987",
  bibdate =      "Sat Nov 18 15:56:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Chronopoulos:1987:SIM,
  author =       "A. T. Chronopoulos and C. W. Gear",
  title =        "$s$-Step Iterative Methods for Symmetric Linear
                 Systems",
  number =       "UIUCDCS-R-87-1345 (UILU-ENG-87-1733, DOE/ER/25026-6)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "25",
  month =        jun,
  year =         "1987",
  bibdate =      "Sat Nov 18 15:58:16 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1987:CCK,
  author =       "C. W. Gear",
  title =        "Condensed Chemical Kinetic Equations",
  type =         "Report",
  number =       "UIUCDCS-R-87-1383 (UILU-ENG-87-1772)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "6",
  month =        oct,
  year =         "1987",
  LCCN =         "QA76.U5 no. 1383",
  bibdate =      "Mon Nov 20 08:06:53 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1987:DOC,
  author =       "C. W. Gear",
  title =        "{DAEs}: {ODEs} with Constraints and Invariants",
  type =         "Report",
  number =       "UIUCDCS-R-87-1385 (UILU-ENG-87-1774)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "14",
  month =        nov,
  year =         "1987",
  LCCN =         "QA76.U5 no. 1385",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark =       "Presented at the Workshop on Numerical Methods for
                 Ordinary Differential Equations (Sept. 15--18, 1987.
                 L'Aquila, Italy).",
}

@InProceedings{Gear:1987:DOM,
  author =       "C. W. Gear and R. Skeel",
  title =        "The development of {ODE} methods: a symbiosis between
                 hardware and numerical analysis",
  crossref =     "Crane:1987:HAC",
  pages =        "105--115",
  year =         "1987",
  DOI =          "https://doi.org/10.1145/41579.41590",
  bibdate =      "Tue Nov 21 06:12:35 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "The history of the numerical solution of ordinary
                 differential equations is surveyed from its origins
                 three centuries ago up to the early 1970s. The
                 increasing demands for the solution of ODEs, especially
                 for exterior ballistics and celestial mechanics, has
                 been a primary stimulus of and a significant influence
                 on the early development of computers starting with the
                 analog differential analyzers and continuing to the
                 first wired-program digital computers --- whose form
                 foreshadowed future developments in parallel computers.
                 At the same time the hardware has, of course, affected
                 the algorithms used, but this has resulted in
                 surprisingly few innovations in numerical techniques",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1987:E,
  author =       "C. W. Gear",
  title =        "Editorial",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "1",
  pages =        "vi--vi",
  month =        "????",
  year =         "1987",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0908001",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  bibdate =      "Mon Mar 31 09:59:46 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  onlinedate =   "January 1987",
}

@TechReport{Gear:1987:ESS,
  author =       "C. W. Gear and D. Wang",
  title =        "Explicit Stiff Stability via Splitting and the
                 Parallel Solution of {ODEs}",
  type =         "Report",
  number =       "UIUCDCS-R-87-1328",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "11",
  year =         "1987",
  LCCN =         "QA76 .I4 no.1328",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1987:NEa,
  author =       "C. William Gear and Robert G. Voigt",
  title =        "A Note from the {Editors}",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "1",
  pages =        "S1--S1",
  month =        "????",
  year =         "1987",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0908intro1",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  bibdate =      "Mon Mar 31 09:59:46 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  onlinedate =   "January 1987",
}

@InProceedings{Gear:1987:NEb,
  author =       "C. William Gear and Robert G. Voigt",
  title =        "A note from the editors",
  crossref =     "Gear:1987:SPS",
  pages =        "1--1",
  year =         "1987",
  bibdate =      "Tue Nov 21 06:24:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1987:PMO,
  author =       "C. W. Gear",
  title =        "Parallel Methods for Ordinary Differential Equations",
  type =         "Report",
  number =       "UIUCDCS-R-87-1369",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "28",
  year =         "1987",
  LCCN =         "QA76.U5 no. 1369",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1987:SCP,
  author =       "C. W. Gear and R. G. Voigt",
  title =        "{Second Conference on Parallel Processing for
                 Scientific Computing}",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "2",
  pages =        "S139--S287",
  month =        mar,
  year =         "1987",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  bibdate =      "Sat May 03 12:12:00 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  URL =          "https://epubs.siam.org/toc/sijcd4/8/2",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "C1140Z (Other and miscellaneous); C4100 (Numerical
                 analysis)",
  conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985",
  conftitle =    "Second Conference on Parallel Processing for
                 Scientific Computing",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "domain decomposition for elliptic PDEs; hyperbolic
                 conservation-law systems; hypercube algorithms;
                 numerical methods; parallel algorithms; performance
                 measurements; statistical analysis; symmetric
                 eigenvalue problem; symmetric tridiagonal eigenvalue
                 problem",
  sponsororg =   "SIAM; NSF; Air Force Office Sci. Res",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Leimkuhler:1987:OCS,
  author =       "B. J. Leimkuhler and L. R. Petzold and C. W. Gear",
  title =        "On Obtaining a Consistent Set of Initial Values for a
                 System of Differential-Algebraic Equations",
  type =         "Report",
  number =       "UIUCDCS-R-87-1344 (UILU-ENG-87-1732, DOE/ER/25026-5)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "i + 40",
  month =        may,
  year =         "1987",
  LCCN =         "QA76 .I4 no. 1344 QA372.5",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  xxpages =      "44",
}

@TechReport{Suleiman:1987:TSS,
  author =       "M. Suleiman and C. W. Gear",
  title =        "Treating a Single, Stiff, Second-Order {ODE}
                 Directly",
  type =         "Report",
  number =       "UIUCDCS-R-87-1391 (UILU-ENG-87-1781)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "35",
  year =         "1987",
  LCCN =         "QA76.U5 no. 1391",
  bibdate =      "Mon Nov 20 08:41:30 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Barnes:1988:CSD,
  author =       "B. H. Barnes and J. D. Bjornson and G. L. Engle and C.
                 W. Gear and P. M. Lewis and R. E. Miller and M.
                 Mulder",
  title =        "Computer science: the discipline and the profession",
  type =         "Report",
  number =       "SPC-TN-88-001",
  institution =  "Software Productivity Consortium",
  address =      "Reston, VA, USA",
  pages =        "????",
  year =         "1988",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "A task force met at the 20th Hawaii Internacional
                 Conference on Systems Science in January 1987 to
                 consider undergraduate computer science education and
                 accreditation of undergraduate degree programs. As a
                 result of these discussions, we have prepared a new
                 description of computer science and restated the
                 qualifications that a computer science professional
                 should meet. We hope that the description will help the
                 computer science community to better understand its
                 special role and to describe this role more effectively
                 to others. Our discussion of the computer science
                 professional is intended to do the following; (1) help
                 academics shape their degree programs to better meet
                 the needs of business, industry, and (2) help these
                 groups better articulate their needs to academe.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Duff:1988:SSG,
  author =       "Iain S. Duff and A. M. Erisman and C. W. Gear and J.
                 K. Reid",
  title =        "Sparsity Structure and {Gaussian} Elimination",
  journal =      j-SIGNUM,
  volume =       "23",
  number =       "2",
  pages =        "2--8",
  month =        apr,
  year =         "1988",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/47917.47918",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  URL =          "https://dl.acm.org/doi/10.1145/47917.47918",
  abstract =     "In this paper we collate and discuss some results on
                 the sparsity structure of a matrix. If a matrix is
                 irreducible, Gaussian elimination yields an $ L U $
                 factorization in which $L$ has at least one entry
                 beneath the diagonal in every column except the last
                 and $U$ has at least one entry to the right of the
                 diagonal in every row except the last. If this
                 factorization is used to solve the equation $ A x = b
                 $, the intermediate vector has an entry in its last
                 component and the solution $x$ is full. Furthermore,
                 the inverse of $A$ is full. Where the matrix is
                 reducible, these results are applicable to the diagonal
                 blocks of its block triangular form.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "theory; verification",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computations on matrices",
}

@Article{Gear:1988:DAE,
  author =       "C. W. Gear",
  title =        "Differential-algebraic equation index
                 transformations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "9",
  number =       "1",
  pages =        "39--47",
  month =        jan,
  year =         "1988",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0909004",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65L05 (34A34 34A50 34C20)",
  MRnumber =     "88j:65149 (922863)",
  bibdate =      "Mon Mar 31 09:59:59 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Comput. Sci., Illinois Univ.,
                 Urbana-Champaign, IL, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "differential equations; differential--algebraic
                 equation index transformations; equivalence; higher
                 index problems; implicit differential equation",
  onlinedate =   "January 1988",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Gear:1988:IFS,
  author =       "C. W. Gear",
  title =        "Implementation of Fitted Second Order {ODE}
                 Integrators",
  type =         "Report",
  number =       "UIUCDCS-R-88-1441 (UILU-ENG-88-1746,
                 DOE/ER/25026-22)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "7",
  month =        jul,
  year =         "1988",
  LCCN =         "QA76.A1 I4 R4, no.1441",
  bibdate =      "Mon Nov 20 08:11:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  xxpages =      "9",
}

@TechReport{Gear:1988:LCR,
  author =       "C. W. Gear",
  title =        "Logarithmically Connected, Repetitive Computer:
                 Networks and Numerical Applications",
  type =         "Report",
  number =       "UIUCDCS-R-88-402 (UILU-ENG-88-1706, DOE/ER/25026-18)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "17",
  month =        jan,
  year =         "1988",
  LCCN =         "QA76 .I4 no. 1402 QA76.5",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:1988:MPA,
  author =       "C. W. Gear",
  title =        "Massive Parallelism Across the Method in {ODEs}",
  type =         "Report",
  number =       "UIUCDCS-R-88-1442 (UILU-ENG-88-1747,
                 DOE/ER/25026-23)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "9",
  month =        jul,
  year =         "1988",
  LCCN =         "QA76.U5 no. 1442",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1988:PMO,
  author =       "C. W. Gear",
  title =        "Parallel methods for ordinary differential equations",
  journal =      j-CALCOLO,
  volume =       "25",
  number =       "1--2",
  pages =        "1--20",
  year =         "1988",
  CODEN =        "CALOBK",
  DOI =          "https://doi.org/10.1007/BF02575744",
  ISSN =         "0008-0624 (print), 1126-5434 (electronic)",
  ISSN-L =       "0008-0624",
  MRclass =      "65Y05 (65L99)",
  MRnumber =     "1053744",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Calcolo. A Quarterly on Numerical Analysis and Theory
                 of Computation",
  journal-URL =  "http://link.springer.com/journal/10092",
}

@TechReport{Aslam:1989:AIO,
  author =       "Sohail Aslam and C. W. Gear",
  title =        "Asynchronous Integration of Ordinary Differential
                 Equations on Multiprocessors",
  number =       "UIUCDCS-R-89-1525; UILU-ENG-89-1744",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "31",
  month =        jul,
  year =         "1989",
  LCCN =         "QA76.U5 no. 1525",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "Differential equations; Multiprocessors; Picard
                 schemes; Iterative methods (Mathematics); {\'E}quations
                 diff{\'e}rentielles; Multiprocesseurs; Sch{\'e}mas de
                 Picard; It{\'e}ration (Math{\'e}matiques); Differential
                 equations; Iterative methods (Mathematics);
                 Multiprocessors; Picard schemes",
}

@Article{Chronopoulos:1989:EIP,
  author =       "A. T. Chronopoulos and C. W. Gear",
  title =        "On the efficient implementation of preconditioned
                 $s$-step conjugate gradient methods on multiprocessors
                 with memory hierarchy",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "11",
  number =       "1",
  pages =        "37--53",
  month =        jul,
  year =         "1989",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/0167-8191(89)90062-8",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65W05",
  MRnumber =     "90k:65203 (1003940)",
  bibdate =      "Mon Apr 14 12:07:40 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "C4240 (Programming and algorithm theory); C5220
                 (Computer architecture)",
  corpsource =   "Dept. of Comput. Sci., Minnesota Univ., Minneapolis,
                 MN, USA",
  fjournal =     "Parallel Computing. Systems \& Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  keywords =     "architectures; Cholesky; conjugate gradient methods;
                 Gradient; hierarchy; memory; multiprocessing systems;
                 parallel; parallel algorithms; Polynomial
                 Preconditioning; preconditioned; s-CG; s-step
                 Conjugate; shared memory structure",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Chronopoulos:1989:SIM,
  author =       "A. T. Chronopoulos and C. W. Gear",
  title =        "$s$-step iterative methods for symmetric linear
                 systems",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "25",
  number =       "2",
  pages =        "153--168",
  month =        feb,
  year =         "1989",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(89)90045-9",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10 (65H10)",
  MRnumber =     "988055",
  bibdate =      "Sat Feb 25 12:20:41 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042789900459",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Enright:1989:IMN,
  author =       "W. H. Enright and C. W. Gear and K. R. Jackson and L.
                 R. Petzold and R. D. Skeel",
  title =        "{International Meeting on the Numerical Solution of
                 Ordinary Differential Equations}",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "5",
  pages =        "913--1051",
  month =        sep,
  year =         "1989",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  bibdate =      "Sat May 03 12:13:16 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  URL =          "https://epubs.siam.org/toc/sijcd4/10/5",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "B0100 (General electrical engineering topics);
                 B0290P (Differential equations); C4170 (Differential
                 equations)",
  conflocation = "Toronto, Ont., Canada; 20-24 June 1988",
  conftitle =    "International Meeting on the Numerical Solution of
                 Ordinary Differential Equations",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "Adams PECE codes; asymptotic expansions; backward
                 Euler multirate formulas; boundary value problems;
                 boundary-value problems; convergence of numerical
                 methods; defect estimation; differential equations;
                 differential--algebraic equations;
                 differential--algebraic systems; error analysis; global
                 discretization error; iterative methods; linear
                 multistep codes; order selection strategy; Runge--Kutta
                 methods; Runge--Kutta processes; split linear multistep
                 methods; stability; stepsize; stiff ODE; stiff
                 problems; symmetric schemes; variable coefficient ODE
                 solver; VODE",
  remark =       "Special Section on Ordinary Differential Equations.",
}

@TechReport{Gear:1989:DAE,
  author =       "C. W. Gear",
  title =        "Differential Algebraic Equations, Indices, and
                 Integral Algebraic Equations",
  type =         "Report",
  number =       "UIUCDCS-R-89-1505 (UILU-ENG-88-1724)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "11",
  month =        apr,
  year =         "1989",
  LCCN =         "QA372.5 .G43 1989",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1989:DOC,
  author =       "C. W. Gear",
  booktitle =    "Numerical methods for ordinary differential equations
                 ({L'Aquila}, 1987)",
  title =        "{DAEs}: {ODEs} with constraints and invariants",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1386",
  pages =        "54--68",
  year =         "1989",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0089231",
  ISBN =         "3-540-51478-3 (print), 3-540-48144-3 (e-book)",
  ISBN-13 =      "978-3-540-51478-7 (print), 978-3-540-48144-7
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 1386",
  MRclass =      "65L99",
  MRnumber =     "1015103 (90m:65161)",
  MRreviewer =   "Zhong Xiong Pan",
  bibdate =      "Thu May 15 18:46:23 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0089231/",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  book-DOI =     "https://doi.org/10.1007/BFb0089227",
  book-URL =     "http://www.springerlink.com/content/978-3-540-48144-7",
  fjournal =     ser-LECT-NOTES-MATH,
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Article{Gear:1989:RTI,
  author =       "C. W. Gear and Dian Han Wang",
  title =        "Real-time integration formulas with off-step inputs
                 and their stability",
  journal =      j-APPL-MATH-COMP,
  volume =       "31",
  number =       "Special issue",
  pages =        "132--147",
  month =        "????",
  year =         "1989",
  CODEN =        "AMHCBQ",
  DOI =          "https://doi.org/10.1016/0096-3003(89)90114-8",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  MRclass =      "65L05",
  MRnumber =     "90c:65094 (996044)",
  bibdate =      "Thu Feb 27 09:47:09 MST 1997",
  bibsource =    "http://www.elsevier.com/locate/issn/00963003;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
  note =         "Proceedings of the 1986 ODE Conference: Numerical
                 ordinary differential equations (Albuquerque, NM,
                 1986).",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Gear:1989:SSS,
  author =       "C. W. Gear and H. D. Simon",
  title =        "Special Section on Sparse Matrix Algorithms on
                 Supercomputers",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "6",
  pages =        "1135--1135",
  month =        "????",
  year =         "1989",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0910068",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  bibdate =      "Mon Mar 31 10:00:23 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
                 https://www.math.utah.edu/pub/tex/bib/super.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  onlinedate =   "November 1989",
}

@TechReport{Juang:1989:AIW,
  author =       "Fen-Lien Juang and C. W. Gear",
  title =        "Accuracy Increase in Waveform {Gauss Seidel}",
  type =         "Report",
  number =       "UIUCDCS-R-89-1518 (UILU-ENG-89-1737,
                 DOE/ER/25026/29)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "27",
  month =        jun,
  year =         "1989",
  LCCN =         "QA76.U5 no. 1518",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Suleiman:1989:TSS,
  author =       "M. B. Suleiman and C. W. Gear",
  title =        "Treating a single, stiff, second-order {ODE}
                 directly",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "27",
  number =       "3",
  pages =        "331--348",
  month =        nov,
  year =         "1989",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(89)90021-6",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65L05",
  MRnumber =     "1026367",
  bibdate =      "Sat Feb 25 12:20:43 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042789900216",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gear:1990:DAE,
  author =       "C. W. Gear",
  title =        "Differential algebraic equations, indices, and
                 integral algebraic equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "27",
  number =       "6",
  pages =        "1527--1534",
  month =        dec,
  year =         "1990",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0727089",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L05 (34A09 65R20)",
  MRnumber =     "91m:65192 (1080336)",
  MRreviewer =   "Michael Hanke",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@InProceedings{Gear:1990:DOM,
  author =       "C. W. Gear and R. D. Skeel",
  title =        "The Development of {ODE} Methods: a Symbiosis Between
                 Hardware and Numerical Analysis",
  crossref =     "Nash:1990:HSC",
  pages =        "88--105",
  year =         "1990",
  DOI =          "https://doi.org/10.1145/87252.88074",
  MRclass =      "65-03 (01A60)",
  MRnumber =     "1203103",
  bibdate =      "Fri Nov 16 11:10:53 MST 2012",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@InProceedings{Gear:1990:WMS,
  author =       "C. W. Gear",
  editor =       "Tetsuro Yamamoto",
  booktitle =    "Advances in Computational Mathematics: Proceedings of
                 the {International Symposium on Computational
                 Mathematics, Matsuyama, Japan 30 August--4 September
                 1990}",
  title =        "Waveform methods for space and time parallelism",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "478",
  pages =        "137--148",
  year =         "1990",
  ISBN =         "0-444-89421-7 (hardcover)",
  ISBN-13 =      "978-0-444-89421-2 (hardcover)",
  LCCN =         "QA297 .I56 1990",
  bibdate =      "Mon Nov 20 08:24:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Xuhai:1990:PPM,
  author =       "Xu Xuhai and C. W. Gear",
  title =        "Potential Performance of Methods for Parallelism
                 Across Time in {ODEs}",
  type =         "Report",
  number =       "UIUCDCS-R-90-1587 (DOE/ER/25026/35)",
  institution =  inst-UIUC-DCS,
  address =      inst-UIUC-DCS:adr,
  pages =        "19 + 18",
  month =        apr,
  year =         "1990",
  LCCN =         "QA76.642 .X83 1990",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "An earlier report [2] described a possible approach to
                 massive parallelism across time. This report describes
                 some numerical experiments on that method and two
                 modifications to the method to increase the parallelism
                 and improve the behavior for nonlinear stiff
                 problems.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1991:ISM,
  author =       "C. William Gear",
  title =        "Inside {SIAM}'s Mysterious Journal Publication
                 Process",
  journal =      j-SIAM-NEWS,
  volume =       "24",
  number =       "2",
  pages =        "6",
  month =        mar,
  year =         "1991",
  ISSN =         "0036-1437",
  ISSN-L =       "0036-1437",
  bibdate =      "Wed Sep 28 14:04:23 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib",
  acknowledgement = ack-njh # " and " # ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
}

@InProceedings{Gear:1991:SWM,
  author =       "C. W. Gear and Fen-Lien Juang",
  booktitle =    "Applied and industrial mathematics ({Venice}, 1989)",
  title =        "The speed of waveform methods for {ODEs}",
  volume =       "56",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  bookpages =    "xiii + 374",
  pages =        "37--48",
  year =         "1991",
  ISBN =         "0-7923-0521-3",
  ISBN-13 =      "978-0-7923-0521-7",
  LCCN =         "TA331 .A63 1990",
  MRclass =      "65L05 (34A50)",
  MRnumber =     "1147189",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Math. Appl.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:1991:WMS,
  author =       "C. W. Gear",
  booktitle =    "Proceedings of the {International} {Symposium} on
                 {Computational} {Mathematics} ({Matsuyama}, 1990)",
  title =        "Waveform methods for space and time parallelism",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "38",
  number =       "1--3",
  pages =        "137--147",
  day =          "23",
  month =        dec,
  year =         "1991",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(91)90166-H",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65Y05 (65L05)",
  MRnumber =     "1146977",
  bibdate =      "Sat Feb 25 13:02:23 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/037704279190166H",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Keiper:1991:AGB,
  author =       "J. B. Keiper and C. W. Gear",
  title =        "The Analysis of Generalized Backwards Difference
                 Formula Methods Applied to {Hessenberg} Form
                 Differential--Algebraic Equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "28",
  number =       "3",
  pages =        "833--858",
  month =        jun,
  year =         "1991",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0728044",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L12 (34A25)",
  MRnumber =     "92a:65228 (1098420)",
  MRreviewer =   "Xin Yuan Wu",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Leimkuhler:1991:AMC,
  author =       "B. Leimkuhler and L. R. Petzold and C. W. Gear",
  title =        "Approximation Methods for the Consistent
                 Initialization of Differential-Algebraic Equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "28",
  number =       "1",
  pages =        "205--226",
  month =        feb,
  year =         "1991",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0728011",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65L05 (34A09 34A50)",
  MRnumber =     "92e:65091 (1083332)",
  MRreviewer =   "Michael Hanke",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Gear:1992:INM,
  author =       "C. W. Gear",
  title =        "Invariants and numerical methods for {ODEs}",
  journal =      j-PHYSICA-D,
  volume =       "60",
  number =       "1--4",
  pages =        "303--310",
  year =         "1992",
  CODEN =        "PDNPDT",
  DOI =          "https://doi.org/10.1016/0167-2789(92)90246-J",
  ISSN =         "0167-2789 (print), 1872-8022 (electronic)",
  ISSN-L =       "0167-2789",
  MRclass =      "65L70 (34A50 65L20)",
  MRnumber =     "1195608",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Experimental mathematics: computational issues in
                 nonlinear science (Los Alamos, NM, 1991)",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Physica D. Nonlinear Phenomena",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01672789",
}

@Article{Skeel:1992:DVS,
  author =       "Robert D. Skeel and C. W. Gear",
  title =        "Does variable step size ruin a symplectic
                 integrator?",
  journal =      j-PHYSICA-D,
  volume =       "60",
  number =       "1--4",
  pages =        "311--313",
  year =         "1992",
  CODEN =        "PDNPDT",
  DOI =          "https://doi.org/10.1016/0167-2789(92)90247-K",
  ISSN =         "0167-2789 (print), 1872-8022 (electronic)",
  ISSN-L =       "0167-2789",
  MRclass =      "65L99 (58F05)",
  MRnumber =     "1195609",
  MRreviewer =   "Timothy Sauer",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Experimental mathematics: computational issues in
                 nonlinear science (Los Alamos, NM, 1991)",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Physica D. Nonlinear Phenomena",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01672789",
}

@Article{Gear:1993:MPA,
  author =       "C. W. Gear",
  title =        "Massive parallelism across space in {ODEs}",
  journal =      j-APPL-NUM-MATH,
  volume =       "11",
  number =       "1--3",
  pages =        "27--43",
  month =        jan,
  year =         "1993",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/0168-9274(93)90038-S",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65L05 (65Y05)",
  MRnumber =     "93m:65088 (1197148)",
  bibdate =      "Sat Feb 8 10:10:32 MST 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  note =         "Parallel methods for ordinary differential equations
                 (Grado, 1991)",
  acknowledgement = ack-nhfb,
  affiliation =  "NEC Research Inst",
  affiliationaddress = "Princeton, NJ, USA",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "723; 921",
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
  journalabr =   "Appl Numer Math",
  keywords =     "Algorithms; Differential equations; Massive
                 parallellism; Method parallellism; Parallellism across
                 space",
}

@Article{Gear:1993:PAT,
  author =       "C. W. Gear and Xuhai Xu",
  title =        "Parallelism across time in {ODEs}",
  journal =      j-APPL-NUM-MATH,
  volume =       "11",
  number =       "1--3",
  pages =        "45--68",
  month =        jan,
  year =         "1993",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/0168-9274(93)90039-T",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65L05 (65Y05)",
  MRnumber =     "93m:65089 (1197149)",
  bibdate =      "Sat Feb 8 10:10:32 MST 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  note =         "Parallel methods for ordinary differential equations
                 (Grado, 1991)",
  acknowledgement = ack-nhfb,
  affiliation =  "NEC Research Inst",
  affiliationaddress = "Princeton, NJ, USA",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  classification = "723; 921",
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
  journalabr =   "Appl Numer Math",
  keywords =     "Algorithms; Differential equations; Parallellism;
                 Parallellism across time; Picard method",
}

@InProceedings{Gear:1994:FGM,
  author =       "C. W. Gear",
  title =        "Feature Grouping in Moving Objects",
  crossref =     "Anonymous:1994:PIW",
  pages =        "214--219",
  year =         "1994",
  DOI =          "https://doi.org/10.1109/MNRAO.1994.346233",
  bibdate =      "Mon Nov 20 08:51:14 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Campbell:1995:IGN,
  author =       "Stephen L. Campbell and C. William Gear",
  title =        "The index of general nonlinear {DAEs}",
  journal =      j-NUM-MATH,
  volume =       "72",
  number =       "2",
  pages =        "173--196",
  month =        dec,
  year =         "1995",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s002110050165",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "34A09 (34A45 34H05 65L99)",
  MRnumber =     "96i:34008 (1362259)",
  MRreviewer =   "Michael Hanke",
  bibdate =      "Thu Jan 23 07:49:52 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720173.htm;
                 http://science.springer.de/nmee/bibs/5072002/50720173.htm",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Gear:1998:MGM,
  author =       "C. W. Gear",
  title =        "Multibody Grouping from Motion Images",
  journal =      j-INT-J-COMP-VISION,
  volume =       "29",
  number =       "2",
  pages =        "133--150",
  month =        aug,
  year =         "1998",
  CODEN =        "IJCVEQ",
  DOI =          "https://doi.org/10.1023/a:1008026310903",
  ISSN =         "0920-5691 (print), 1573-1405 (electronic)",
  ISSN-L =       "0920-5691",
  bibdate =      "Tue Nov 21 06:10:16 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "International journal of computer vision",
}

@TechReport{Gear:2001:PIM,
  author =       "C. W. Gear",
  title =        "Projective Integration Methods for Distributions",
  type =         "Report",
  institution =  "Princeton University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "1--9",
  day =          "26",
  month =        nov,
  year =         "2001",
  bibdate =      "Sat Nov 18 08:05:14 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.princeton.edu/~wgear/pdf.pdf",
  abstract =     "Projective methods were introduced in an earlier
                 paper. In this paper we consider their application to
                 the output of simulations of a collection of randomly
                 moving objects. In the limit (of a large number of
                 these objects) the solution would be a time varying
                 probability distribution of the objects in space. A key
                 idea in this paper is the representation of the
                 probability distribution, a representation that permits
                 the application of the projective method.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  keywords =     "cumulative distribution functions; Integration;
                 probability density functions",
}

@TechReport{Gear:2002:BPM,
  author =       "C. W. Gear and Ioannis G. Kevrekidis",
  title =        "Boundary processing for {Monte Carlo} Simulations in
                 the Gap-Tooth Scheme",
  type =         "Report",
  institution =  "Princeton University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "1--8",
  day =          "31",
  month =        oct,
  year =         "2002",
  bibdate =      "Sat Nov 18 07:53:03 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://arxiv.org/abs/physics/0211043;
                 https://www.princeton.edu/~wgear/gaptoothboundary.pdf",
  abstract =     "This note reports on a scheme for interpolating the
                 boundary conditions between non-adjacent modeling
                 regions when the model is based on Monte-Carlo
                 computations of a collection of particles. The scheme
                 conserves particles in a natural way, and thereby can
                 be made to conserve other quantities.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  keywords =     "conservation; equation-free computation; particle
                 models",
}

@Article{Gear:2002:CIB,
  author =       "C. W. Gear and Ioannis G. Kevrekidis and Constantinos
                 Theodoropoulos",
  title =        "{``Coarse''} integration\slash bifurcation analysis
                 via microscopic simulators: micro-{Galerkin} methods",
  journal =      j-COMP-CHEM-ENG,
  volume =       "26",
  number =       "7--8",
  pages =        "941--963",
  month =        aug,
  year =         "2002",
  CODEN =        "CCENDW",
  DOI =          "https://doi.org/10.1016/s0098-1354(02)00020-0",
  ISSN =         "0098-1354 (print), 1873-4375 (electronic)",
  ISSN-L =       "0098-1354",
  bibdate =      "Mon Nov 20 11:26:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Computers \& Chemical Engineering",
}

@TechReport{Gear:2002:FSS,
  author =       "C. W. Gear",
  title =        "Finding Stationary States of Noisy Processes",
  type =         "Report",
  institution =  "Princeton University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "1--5",
  day =          "3",
  month =        oct,
  year =         "2002",
  bibdate =      "Sat Nov 18 07:55:44 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.princeton.edu/~wgear/steadystate.pdf",
  abstract =     "We discuss the problem of estimating the ``stationary
                 state'' of an iterative process that is generating a
                 sequence of vectors whose output is contaminated by
                 noise in various ways. If the dimension of the system
                 is not too large, it is also possible to estimate the
                 eigenvalues of the system near equilibrium. The method
                 can also be adapted to finding an underlying ``smooth''
                 function if the iterative process is, in fact, yielding
                 a noisy approximation to a continuously changing
                 function.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  keywords =     "Steady States; Stochastic Processes",
}

@TechReport{Gear:2002:PMS,
  author =       "C. W. Gear and Ioannis G. Kevrekidis",
  title =        "Projective Methods for Stiff Differential Equations:
                 {\em problems with gaps in their eigenvalue spectrum}",
  type =         "Report",
  number =       "NECI-TR 2001-029",
  institution =  "Princeton University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "1--32",
  day =          "4",
  month =        feb,
  year =         "2002",
  bibdate =      "Sat Nov 18 08:07:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.princeton.edu/~wgear/projectivefull.pdf",
  abstract =     "We show that there exist classes of explicit numerical
                 integration methods that can handle very stiff problems
                 if the eigenvalues are separated into two clusters, one
                 containing the ``stiff'', or fast components, and one
                 containing the slow components. These methods have
                 large average step sizes relative to the fast
                 components. Conventional implicit methods involve the
                 solution of non-linear equations at each step, which
                 for large problems requires significant communication
                 between processors on a multiprocessor machine. For
                 such problems the methods proposed here have
                 significant potential for speed improvement.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  keywords =     "explicit; integration; stability; stiff",
}

@Article{Kevrekidis:2002:EFC,
  author =       "Ioannis G. Kevrekidis and C. William Gear and James M.
                 Hyman and Panagiotis G. Kevrekidis and Olof Runborg and
                 Constantinos Theodoropoulos",
  title =        "Equation-free, coarse-grained multiscale computation:
                 enabling microscopic simulators to perform system-level
                 analysis",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--73",
  day =          "10",
  month =        sep,
  year =         "2002",
  DOI =          "https://doi.org/10.48550/arXiv.physics/0209043",
  bibdate =      "Sat Nov 18 08:15:02 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://arxiv.org/abs/physics/0209043",
  abstract =     "We present and discuss a framework for computer-aided
                 multiscale analysis, which enables models at a ``fine''
                 (microscopic/stochastic) level of description to
                 perform modeling tasks at a ``coarse'' (macroscopic,
                 systems) level. These macroscopic modeling tasks,
                 yielding information over long time and large space
                 scales, are accomplished through appropriately
                 initialized calls to the microscopic simulator for only
                 short times and small spatial domains. Our
                 equation-free (EF) approach, when successful, can
                 bypass the derivation of the macroscopic evolution
                 equations when these equations conceptually exist but
                 are not available in closed form. We discuss how the
                 mathematics-assisted development of a computational
                 superstructure may enable alternative descriptions of
                 the problem physics (e.g. Lattice Boltzmann (LB),
                 kinetic Monte Carlo (KMC) or Molecular Dynamics (MD)
                 microscopic simulators, executed over relatively short
                 time and space scales) to perform systems level tasks
                 (integration over relatively large time and space
                 scales, ``coarse'' bifurcation analysis, optimization,
                 and control) directly. In effect, the procedure
                 constitutes a systems identification based, ``closure
                 on demand'' computational toolkit, bridging
                 microscopic/stochastic simulation with traditional
                 continuum scientific computation and numerical
                 analysis. We illustrate these ideas through examples
                 from chemical kinetics (LB, KMC), rheology (Brownian
                 Dynamics), homogenization and the computation of
                 ``coarsely self-similar'' solutions, and discuss
                 various features, limitations and potential extensions
                 of the approach.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Cisternas:2003:EFM,
  author =       "Jaime Cisternas and C. William Gear and Simon Levin
                 and Ioannis G. Kevrekidis",
  title =        "Equation-free modelling of evolving diseases:
                 coarse-grained computations with individual-based
                 models",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--16",
  day =          "9",
  month =        oct,
  year =         "2003",
  DOI =          "https://doi.org/10.1098/rspa.2004.1300",
  bibdate =      "Sat Nov 18 07:48:16 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://arxiv.org/abs/nlin/0310011",
  abstract =     "We demonstrate how direct simulation of stochastic,
                 individual-based models can be combined with continuum
                 numerical analysis techniques to study the dynamics of
                 evolving diseases. Sidestepping the necessity of
                 obtaining explicit population-level models, the
                 approach analyzes the (unavailable in closed form)
                 `coarse' macroscopic equations, estimating the
                 necessary quantities through appropriately initialized,
                 short `bursts' of individual-based dynamic simulation.
                 We illustrate this approach by analyzing a stochastic
                 and discrete model for the evolution of disease agents
                 caused by point mutations within individual hosts.
                 Building up from classical SIR and SIRS models, our
                 example uses a one-dimensional lattice for variant
                 space, and assumes a finite number of individuals.
                 Macroscopic computational tasks enabled through this
                 approach include stationary state computation, coarse
                 projective integration, parametric continuation and
                 stability analysis.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:2003:CDM,
  author =       "C. William Gear and Ioannis G. Kevrekidis",
  title =        "Constraint-Defined Manifolds: a Legacy Code Approach
                 to Low-Dimensional Computation",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--12",
  day =          "15",
  month =        dec,
  year =         "2003",
  DOI =          "https://doi.org/10.48550/arXiv.physics/0312094",
  bibdate =      "Sat Nov 18 07:30:44 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://arxiv.org/abs/physics/0312094",
  abstract =     "If the dynamics of an evolutionary differential
                 equation system possess a low-dimensional, attracting,
                 slow manifold, there are many advantages to using this
                 manifold to perform computations for long term
                 dynamics, locating features such as stationary points,
                 limit cycles, or bifurcations. Approximating the slow
                 manifold, however, may be computationally as
                 challenging as the original problem. If the system is
                 defined by a legacy simulation code or a microscopic
                 simulator, it may be impossible to perform the
                 manipulations needed to directly approximate the slow
                 manifold. In this paper we demonstrate that with the
                 knowledge only of a set of slow variables that can be
                 used to parameterize the slow manifold, we can
                 conveniently compute, using a legacy simulator, on a
                 nearby manifold. Forward and reverse integration, as
                 well as the location of fixed points are illustrated
                 for a discretization of the Chafee--Infante PDE for
                 parameter values for which an Inertial Manifold is
                 known to exist, and can be used to validate the
                 computational results.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  keywords =     "Differential equations; inertial manifolds; stiff
                 equations",
}

@Article{Gear:2003:GTM,
  author =       "C. William Gear and Ju Li and Ioannis G. Kevrekidis",
  title =        "The gap-tooth method in particle simulations",
  journal =      j-PHYS-LET-A,
  volume =       "316",
  number =       "3--4",
  pages =        "190--195",
  year =         "2003",
  CODEN =        "PYLAAG",
  DOI =          "https://doi.org/10.1016/j.physleta.2003.07.004",
  ISSN =         "0375-9601 (print), 1873-2429 (electronic)",
  ISSN-L =       "0375-9601",
  MRclass =      "82C80 (76M28)",
  MRnumber =     "2009141",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Physics Letters. A",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03759601",
}

@Article{Gear:2003:PMS,
  author =       "C. W. Gear and Ioannis G. Kevrekidis",
  title =        "Projective Methods for Stiff Differential Equations:
                 Problems with Gaps in Their Eigenvalue Spectrum",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "24",
  number =       "4",
  pages =        "1091--1106",
  month =        jul,
  year =         "2003",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827501388157",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65L05 (65L07)",
  MRnumber =     "1976207",
  MRreviewer =   "M. K. Kadalbajoo",
  bibdate =      "Wed Aug 20 06:34:26 MDT 2003",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/24/4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/38815",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Gear:2003:TPM,
  author =       "C. W. Gear and Ioannis G. Kevrekidis",
  title =        "Telescopic projective methods for parabolic
                 differential equations",
  journal =      j-J-COMPUT-PHYS,
  volume =       "187",
  number =       "1",
  pages =        "95--109",
  day =          "1",
  month =        may,
  year =         "2003",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/S0021-9991(03)00082-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "65L05 (35K15)",
  MRnumber =     "1977781",
  bibdate =      "Mon Jan 2 22:12:29 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999103000822",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Kevrekidis:2003:EFC,
  author =       "Ioannis G. Kevrekidis and C. William Gear and James M.
                 Hyman and Panagiotis G. Kevrekidis and Olof Runborg and
                 Constantinos Theodoropoulos",
  title =        "Equation-free, coarse-grained multiscale computation:
                 enabling microscopic simulators to perform system-level
                 analysis",
  journal =      j-COMMUN-MATH-SCI,
  volume =       "1",
  number =       "4",
  pages =        "715--762",
  year =         "2003",
  ISSN =         "1539-6746 (print), 1945-0796 (electronic)",
  ISSN-L =       "1539-6746",
  MRclass =      "65L50 (34C60 35G20 37M05 82C80)",
  MRnumber =     "2041455",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://projecteuclid.org/euclid.cms/1119655353",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Communications in Mathematical Sciences",
  journal-URL =  "http://ProjectEuclid.org/cms",
}

@Article{Li:2003:DNC,
  author =       "Ju Li and Panayotis G. Kevrekidis and C. William Gear
                 and Ioannis G. Kevrekidis",
  title =        "Deciding the Nature of the Coarse Equation through
                 Microscopic Simulations: The Baby-Bathwater Scheme",
  journal =      j-MULTISCALE-MODELING-SIMUL,
  volume =       "1",
  number =       "3",
  pages =        "391--407",
  year =         "2003",
  CODEN =        "MMSUBT",
  DOI =          "https://doi.org/10.1137/S1540345902419161",
  ISSN =         "1540-3459 (print), 1540-3467 (electronic)",
  ISSN-L =       "1540-3459",
  MRclass =      "93E12 (35K55 35Q53 65M99 82C80)",
  MRnumber =     "2030157",
  bibdate =      "Tue Sep 30 07:06:47 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/MMS/1/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siammms.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/41916",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Multiscale Modeling and Simulation",
  journal-URL =  "http://epubs.siam.org/mms",
}

@Article{Setayeshgar:2003:ACI,
  author =       "S. Setayeshgar and C. W. Gear and H. G. Othmer and I.
                 G. Kevrekidis",
  title =        "Application of Coarse Integration to Bacterial
                 Chemotaxis",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--22",
  day =          "10",
  month =        aug,
  year =         "2003",
  DOI =          "https://doi.org/10.48550/arXiv.physics/0308040",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  abstract =     "We have developed and implemented a numerical
                 evolution scheme for a class of stochastic problems in
                 which the temporal evolution occurs on widely-separated
                 time scales, and for which the slow evolution can be
                 described in terms of a small number of moments of an
                 underlying probability distribution. We demonstrate
                 this method via a numerical simulation of chemotaxis in
                 a population of motile, independent bacteria swimming
                 in a prescribed gradient of a chemoattractant. The
                 microscopic stochastic model, which is simulated using
                 a Monte Carlo method, uses a simplified deterministic
                 model for excitation/adaptation in signal transduction,
                 coupled to a realistic, stochastic description of the
                 flagellar motor. We show that projective time
                 integration of ``coarse'' variables can be carried out
                 on time scales long compared to that of the microscopic
                 dynamics. Our coarse description is based on the
                 spatial cell density distribution. Thus we are assuming
                 that the system ``closes'' on this variable so that it
                 can be described on long time scales solely by the
                 spatial cell density. Computationally the variables are
                 the components of the density distribution expressed in
                 terms of a few basis functions, given by the singular
                 vectors of the spatial density distribution obtained
                 from a sample Monte Carlo time evolution of the system.
                 We present numerical results and analysis of errors in
                 support of the efficacy of this time-integration
                 scheme.",
  archiveprefix = "arXiv",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  eprint =       "physics/0308040",
  primaryclass = "physics.comp-ph",
}

@Article{Cisternas:2004:EFM,
  author =       "Jaime Cisternas and C. William Gear and Simon Levin
                 and Ioannis G. Kevrekidis",
  title =        "Equation-free modelling of evolving diseases:
                 coarse-grained computations with individual-based
                 models",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "460",
  number =       "2050",
  pages =        "2761--2779",
  year =         "2004",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2004.1300",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "92D30 (60G55)",
  MRnumber =     "2097271",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Gear:2004:CPF,
  author =       "C. W. Gear and Ioannis G. Kevrekidis",
  title =        "Computing in the past with forward integration",
  journal =      j-PHYS-LET-A,
  volume =       "321",
  number =       "5--6",
  pages =        "335--343",
  year =         "2004",
  CODEN =        "PYLAAG",
  DOI =          "https://doi.org/10.1016/j.physleta.2003.12.041",
  ISSN =         "0375-9601 (print), 1873-2429 (electronic)",
  ISSN-L =       "0375-9601",
  MRclass =      "65L20 (34D05 65L05)",
  MRnumber =     "2046337",
  MRreviewer =   "Ian Gladwell",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Physics Letters. A",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03759601",
}

@Article{Gear:2004:EFC,
  author =       "C. W. Gear and I. G. Kevrekidis and G. Hummer",
  title =        "Equation-free: the computer-assisted analysis of
                 complex, multiscale systems",
  journal =      "A.I.Ch.E Journal",
  volume =       "50",
  number =       "7",
  pages =        "1346--1354",
  month =        "????",
  year =         "2004",
  bibdate =      "Sat Nov 18 07:46:12 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:2004:MDC,
  author =       "C. W. Gear and L. Chen and P. G. Debenedetti and I. G.
                 Kevrekidis",
  title =        "From Molecular Dynamics to coarse self-similar
                 solutions: a simple example using equation-free
                 computation",
  journal =      "JNNFM",
  volume =       "??",
  number =       "??",
  pages =        "215--223",
  month =        "????",
  year =         "2004",
  bibdate =      "Sat Nov 18 07:44:08 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Rico-Martinez:2004:CPK,
  author =       "R. Rico-Mart{\'\i}nez and C. W. Gear and Ioannis G.
                 Kevrekidis",
  title =        "Coarse projective {kMC} integration: forward\slash
                 reverse initial and boundary value problems",
  journal =      j-J-COMPUT-PHYS,
  volume =       "196",
  number =       "2",
  pages =        "474--489",
  day =          "20",
  month =        may,
  year =         "2004",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2003.11.005",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:12:40 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999103006053",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Gear:2005:CDM,
  author =       "C. William Gear and Ioannis G. Kevrekidis",
  title =        "Constraint-Defined Manifolds: a Legacy Code Approach
                 to Low-Dimensional Computation",
  journal =      j-J-SCI-COMPUT,
  volume =       "25",
  number =       "1--2",
  pages =        "17--28",
  month =        oct,
  year =         "2005",
  CODEN =        "JSCOEB",
  DOI =          "https://doi.org/10.1007/BF02728980;
                 https://doi.org/10.1007/s10915-004-4630-x",
  ISSN =         "0885-7474 (print), 1573-7691 (electronic)",
  ISSN-L =       "0885-7474",
  MRclass =      "37L99 (35K57 37L25 37M05 65L20)",
  MRnumber =     "2231940",
  bibdate =      "Sat Dec 22 13:06:23 MST 2012",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0885-7474&volume=25&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jscicomput.bib",
  URL =          "http://link.springer.com/article/10.1007/BF02728980;
                 http://link.springer.com/article/10.1007/s10915-004-4630-x;
                 http://link.springer.com/content/pdf/10.1007/BF02728980;
                 http://link.springer.com/content/pdf/10.1007/s10915-004-4630-x;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0885-7474&volume=25&issue=1&spage=17-28",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/10915",
}

@Article{Gear:2005:PSM,
  author =       "C. W. Gear and T. J. Kaper and I. G. Kevrekidis and A.
                 Zagaris",
  title =        "Projecting to a Slow Manifold: Singularly Perturbed
                 Systems and Legacy Codes",
  journal =      j-SIAM-J-APPL-DYN-SYST,
  volume =       "4",
  number =       "3",
  pages =        "711--732",
  year =         "2005",
  CODEN =        "SJADAY",
  DOI =          "https://doi.org/10.1137/040608295;
                 https://doi.org/10.1137/S1111111101387760",
  ISSN =         "1536-0040",
  ISSN-L =       "1536-0040",
  MRclass =      "34E05 (35K57 37L10 37M99)",
  MRnumber =     "2176163",
  bibdate =      "Thu Dec 29 10:42:26 MST 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIADS/4/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjappldynsyst.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/60829",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Applied Dynamical Systems",
  journal-URL =  "http://epubs.siam.org/siads",
}

@TechReport{Lee:2005:SOA,
  author =       "Steven L. Lee and C. William Gear",
  title =        "Second-order accurate projective integrators for
                 multiscale problems",
  type =         "Report",
  number =       "UCRL-JRNL-212640",
  institution =  "Lawrence Livermore National Laboratory, University of
                 California",
  address =      "Livermore, CA, USA",
  pages =        "27",
  day =          "1",
  month =        jun,
  year =         "2005",
  bibdate =      "Sat Nov 18 07:37:03 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.princeton.edu/~wgear/SecondOrderLLNL.pdf",
  abstract =     "We introduce new projective versions of second-order
                 accurate Runge--Kutta and Adams--Bashforth methods, and
                 demonstrate their use as outer integrators in solving
                 stiff differential systems. An important outcome is
                 that the new outer integrators, when combined with an
                 inner telescopic projective integrator, can result in
                 fully explicit methods with adaptive outer step size
                 selection and solution accuracy comparable to those
                 obtained by implicit integrators. If the stiff
                 differential equations are not directly available, our
                 formulations and stability analysis are general enough
                 to allow the combined outer--inner projective
                 integrators to be applied to black-box legacy codes or
                 perform a coarse-grained time integration of
                 microscopic systems to evolve macroscopic behavior, for
                 example.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  keywords =     "explicit; multiscale; parabolic; stability; stiff;
                 teleprojective integration",
}

@Article{Setayeshgar:2005:ACI,
  author =       "S. Setayeshgar and C. W. Gear and H. G. Othmer and I.
                 G. Kevrekidis",
  title =        "Application of Coarse Integration to Bacterial
                 Chemotaxis",
  journal =      j-MULTISCALE-MODELING-SIMUL,
  volume =       "4",
  number =       "1",
  pages =        "307--327",
  year =         "2005",
  CODEN =        "MMSUBT",
  DOI =          "https://doi.org/10.1137/030600874",
  ISSN =         "1540-3459 (print), 1540-3467 (electronic)",
  ISSN-L =       "1540-3459",
  MRclass =      "65C05 (62G05 65M99 92C17)",
  MRnumber =     "2164719",
  bibdate =      "Thu Dec 29 09:04:33 MST 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/MMS/4/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siammms.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/60087",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Multiscale Modeling and Simulation",
  journal-URL =  "http://epubs.siam.org/mms",
}

@Article{Gear:2006:TEM,
  author =       "C. W. Gear",
  title =        "Towards explicit methods for differential algebraic
                 equations",
  journal =      j-BIT-NUM-MATH,
  volume =       "46",
  number =       "3",
  pages =        "505--514",
  month =        sep,
  year =         "2006",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-006-0068-x",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65L80 (34-04 34A09)",
  MRnumber =     "2265570",
  MRreviewer =   "Ronald St{\"o}ver",
  bibdate =      "Wed Oct 31 11:37:27 MDT 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@TechReport{Lee:2006:FLE,
  author =       "S. L. Lee and C. W. Gear",
  title =        "On-the-Fly Local Error Estimation for Projective
                 Integrators",
  type =         "Report",
  number =       "UCRL-TR-224892",
  institution =  "Lawrence Livermore National Laboratory, University of
                 California",
  address =      "Livermore, CA, USA",
  pages =        "16",
  day =          "2",
  month =        oct,
  year =         "2006",
  bibdate =      "Sat Nov 18 07:33:15 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.princeton.edu/~wgear/LocalErrorLLNL.pdf",
  abstract =     "A novel and efficient technique is developed for
                 estimating the local error per step when first- and
                 second-order accurate projective integrators are
                 applied to stiff multiscale systems. The estimation can
                 be done on-the-fly; that is, the accumulated local
                 error is readily estimated at the end and during the
                 course of computing the solution at each outer time
                 step. We demonstrate the effectiveness of the new error
                 estimation technique when using projective integrators
                 to solve stiff ordinary differential equation (ODE)
                 initial-value problems.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Misc{Gear:2007:BDF,
  author =       "Bill Gear",
  title =        "Backward differentiation formulas",
  howpublished = "Scholarpedia Web site: report 2(8):3162",
  year =         "2007",
  DOI =          "https://doi.org/10.4249/scholarpedia.3162",
  bibdate =      "Sat Nov 18 07:26:03 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.scholarpedia.org/article/Backward_differentiation_formulas",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Kavousanakis:2007:PCP,
  author =       "M. E. Kavousanakis and R. Erban and A. G. Boudouvis
                 and C. W. Gear and I. G. Kevrekidis",
  title =        "Projective and coarse projective integration for
                 problems with continuous symmetries",
  journal =      j-J-COMPUT-PHYS,
  volume =       "225",
  number =       "1",
  pages =        "382--407",
  day =          "1",
  month =        jul,
  year =         "2007",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2006.12.003",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "35A25 (35A30 35K57 37L99 65L06)",
  MRnumber =     "2346683",
  bibdate =      "Mon Jan 2 22:13:38 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999106005973",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Lee:2007:SOA,
  author =       "Steven L. Lee and C. William Gear",
  title =        "Second-order accurate projective integrators for
                 multiscale problems",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "201",
  number =       "1",
  pages =        "258--274",
  day =          "1",
  month =        apr,
  year =         "2007",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2006.02.018",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65L06",
  MRnumber =     "2293553",
  MRreviewer =   "Jos\'{e} M. Amig\'{o}",
  bibdate =      "Sat Feb 25 13:13:13 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S037704270600104X",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Li:2007:DNC,
  author =       "Ju Li and Panayotis G. Kevrekidis and C. William Gear
                 and Ioannis G. Kevrekidis",
  title =        "Deciding the Nature of the Coarse Equation through
                 Microscopic Simulations: The Baby-Bathwater Scheme",
  journal =      j-SIAM-REVIEW,
  volume =       "49",
  number =       "3",
  pages =        "469--487",
  month =        "????",
  year =         "2007",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/070692303",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65M99 (65C35 82C21 93E12)",
  MRnumber =     "2353808",
  bibdate =      "Sat Mar 29 09:57:18 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/49/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2007",
}

@TechReport{Gear:2008:OCW,
  author =       "C. W. Gear",
  title =        "Optimum Choice of Weights in Slope Calculation",
  type =         "Report",
  institution =  "Princeton University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "4",
  day =          "23",
  month =        jul,
  year =         "2008",
  bibdate =      "Sat Nov 18 07:24:20 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.princeton.edu/~wgear/BestSlope.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:2009:IFS,
  author =       "C. W. Gear",
  title =        "Invariants of fast solutions of {KdV--Burgers}
                 Equations",
  type =         "Report",
  institution =  "Princeton University",
  address =      "Princeton, NJ 08544, USA",
  day =          "12",
  month =        sep,
  year =         "2009",
  bibdate =      "Sat Nov 18 07:22:32 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.princeton.edu/~wgear/KdFInv.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Zagaris:2009:AAC,
  author =       "Antonios Zagaris and C. William Gear and Tasso J.
                 Kaper and Yannis G. Kevrekidis",
  title =        "Analysis of the accuracy and convergence of
                 equation-free projection to a slow manifold",
  journal =      j-MATH-MODEL-NUM-ANA,
  volume =       "43",
  number =       "4",
  pages =        "757--784",
  year =         "2009",
  CODEN =        "RMMAEV",
  DOI =          "https://doi.org/10.1051/m2an/2009026",
  ISSN =         "0764-583X (print), 1290-3841 (electronic)",
  ISSN-L =       "0764-583X",
  MRclass =      "35B25 (35B42 37M99 65L20 65P99)",
  MRnumber =     "2542876",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "M2AN. Mathematical Modelling and Numerical Analysis",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=MZA",
}

@TechReport{Gear:200x:CIB,
  author =       "C. W. Gear and Ioannis G. Kevrekidis and Constantinos
                 Theodoropoulos",
  title =        "``{Coarse}'' Integration\slash Bifurcation Analysis
                 via Microscopic Simulators: micro-{Galerkin} methods",
  type =         "Report",
  institution =  "Department of Chemical Engineering. Princeton
                 University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "1--37",
  year =         "200x",
  bibdate =      "Sat Nov 18 07:58:45 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.princeton.edu/~wgear/coarseproj.pdf",
  abstract =     "We present a time-stepper based approach to the
                 ``coarse'' integration and stability/bifurcation
                 analysis of distributed reacting system models. The
                 methods we discuss are applicable to systems for which
                 the traditional modeling approach through macroscopic
                 evolution equations (usually partial differential
                 equations, PDEs) is not possible because the PDEs are
                 not available in closed form. If an alternative,
                 microscopic (e.g. Monte Carlo or Lattice Boltzmann)
                 description of the physics is available, we illustrate
                 how this microscopic simulator can be enabled (through
                 a computational superstructure) to perform certain
                 integration and numerical bifurcation analysis tasks
                 directly at the coarse, systems-level. This approach,
                 when successful, can circumvent the derivation of
                 accurate, closed form, macroscopic PDE descriptions of
                 the system. The direct ``systems level'' analysis of
                 microscopic process models, facilitated through such
                 numerical ``enabling technologies'', may, if practical,
                 advance our understanding and use of nonequilibrium
                 systems",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Gear:2010:CVS,
  author =       "C. W. Gear and D. Givon and I. G. Kevrekidis",
  title =        "Computing on virtual slow manifolds of fast stochastic
                 systems",
  journal =      "JNAIAM. J. Numer. Anal. Ind. Appl. Math.",
  volume =       "5",
  number =       "1--2",
  pages =        "61--72",
  year =         "2010",
  ISSN =         "1790-8140 (print), 1790-8159 (electronic)",
  ISSN-L =       "1790-8140",
  MRclass =      "65L05 (92E20)",
  MRnumber =     "2833603",
  MRreviewer =   "Christian F. Roth",
  bibdate =      "Fri Nov 17 18:34:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "JNAIAM. Journal of Numerical Analysis, Industrial and
                 Applied Mathematics",
}

@Article{Artstein:2011:ACD,
  author =       "Zvi Artstein and C. William Gear and Ioannis G.
                 Kevrekidis and Marshall Slemrod and Edriss S. Titi",
  title =        "Analysis and Computation of a Discrete {KdV--Burgers}
                 Type Equation with Fast Dispersion and Slow Diffusion",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "49",
  number =       "5",
  pages =        "2124--2143",
  month =        "????",
  year =         "2011",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/090768850",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "34A33 (34E15 35Q53 65L05 65M06 65M20)",
  MRnumber =     "2861712",
  MRreviewer =   "Henrik Kalisch",
  bibdate =      "Wed Nov 30 07:21:53 MST 2011",
  bibsource =    "http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=49&Issue=5;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal2010.bib",
  URL =          "http://epubs.siam.org/sinum/resource/1/sjnaam/v49/i5/p2124_s1",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  onlinedate =   "October 20, 2011",
}

@Article{Gear:2012:PNL,
  author =       "C. Gear",
  title =        "Parameterization of non-linear manifolds",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--11",
  month =        aug,
  year =         "2012",
  DOI =          "https://doi.org/10.48550/arXiv.1208.5246",
  bibdate =      "Mon Nov 20 11:49:00 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://arxiv.org/abs/1208.5246",
  abstract =     "In this report we consider the parameterization of
                 low-dimensional manifolds that are specified
                 (approximately) by a set of points very close to the
                 manifold in the original high-dimensional space. Our
                 objective is to obtain a parameterization that is
                 (1--1) and non-singular (in the sense that the Jacobian
                 of the map between the manifold and the parameter space
                 is bounded and non-singular).",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Zagaris:2012:SSC,
  author =       "Antonios Zagaris and Christophe Vandekerckhove and C.
                 William Gear and Tasso J. Kaper and Ioannis G.
                 Kevrekidis",
  title =        "Stability and stabilization of the constrained runs
                 schemes for equation-free projection to a slow
                 manifold",
  journal =      j-DISCRETE-CONTIN-DYN-SYST,
  volume =       "32",
  number =       "8",
  pages =        "2759--2803",
  year =         "2012",
  DOI =          "https://doi.org/10.3934/dcds.2012.32.2759",
  ISSN =         "1078-0947 (print), 1553-5231 (electronic)",
  ISSN-L =       "1078-0947",
  MRclass =      "37J40 (34C45 34D35 34E13 65L80 92C45)",
  MRnumber =     "2903988",
  MRreviewer =   "Claude-Henri Lamarque",
  bibdate =      "Fri Nov 17 18:34:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Discrete and Continuous Dynamical Systems. Series A",
}

@Article{Jamshidi:2014:TVR,
  author =       "A. A. Jamshidi and C. W. Gear and I. G. Kevrekidis",
  title =        "Time varying radial basis functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "266",
  number =       "??",
  pages =        "61--72",
  day =          "15",
  month =        aug,
  year =         "2014",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2014.01.018",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "41A30",
  MRnumber =     "3176281",
  bibdate =      "Sat Feb 25 13:34:44 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042714000399",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@TechReport{Gear:2015:MDP,
  author =       "C. W. Gear and E. Chiavazzo and I. G. Kevrekidis",
  title =        "Manifolds defined by points: Parameterizing and
                 Boundary Detection",
  type =         "Report",
  institution =  "Princeton University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "15",
  day =          "30",
  month =        aug,
  year =         "2015",
  bibdate =      "Sat Nov 18 07:08:18 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.princeton.edu/~wgear/manifolds.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Gear:2015:PNL,
  author =       "C. W. Gear",
  title =        "Parameterization of Non-Linear Manifolds",
  type =         "Report",
  institution =  "Department of Chemical and Biological Engineering,
                 Princeton University",
  address =      "Princeton, NJ 08544, USA",
  pages =        "11",
  day =          "22",
  month =        aug,
  year =         "2015",
  bibdate =      "Sat Nov 18 07:18:50 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.princeton.edu/~wgear/Parameterization.pdf",
  abstract =     "In this report we consider the parameterization of
                 low-dimensional manifolds that are specified
                 (approximately) by a set of points very close to the
                 manifold in the original high-dimensional space. Our
                 objective is to obtain a parameterization that is
                 (1--1) and non-singular (in the sense that the Jacobian
                 of the map between the manifold and the parameter space
                 is bounded and non-singular).",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  keywords =     "diffusion maps; distance matrices; PCA",
}

@Article{Liu:2015:ASD,
  author =       "Ping Liu and Giovanni Samaey and C. William Gear and
                 Ioannis G. Kevrekidis",
  title =        "On the acceleration of spatially distributed
                 agent-based computations: a patch dynamics scheme",
  journal =      j-APPL-NUM-MATH,
  volume =       "92",
  number =       "??",
  pages =        "54--69",
  month =        jun,
  year =         "2015",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/j.apnum.2014.12.007",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "91B24 (65M08 65M99)",
  MRnumber =     "3319067",
  bibdate =      "Wed Mar 11 12:15:52 MDT 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0168927414002086",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
}

@Article{Liu:2015:EFM,
  author =       "Ping Liu and C. I. Siettos and C. W. Gear and I. G.
                 Kevrekidis",
  title =        "Equation-free model reduction in agent-based
                 computations: coarse-grained bifurcation and
                 variable-free rare event analysis",
  journal =      "Mathematical Modelling of Natural Phenomena",
  volume =       "10",
  number =       "3",
  pages =        "71--90",
  year =         "2015",
  DOI =          "https://doi.org/10.1051/mmnp/201510307",
  ISSN =         "0973-5348 (print), 1760-6101 (electronic)",
  ISSN-L =       "0973-5348",
  MRclass =      "35Q91 (35Q84 37G10 37H20 65P30)",
  MRnumber =     "3371923",
  bibdate =      "Fri Nov 17 18:34:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Model. Nat. Phenom.",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Mathematical Modelling of Natural Phenomena",
}

@Article{Dsilva:2016:DDR,
  author =       "Carmeline J. Dsilva and Ronen Talmon and C. William
                 Gear and Ronald R. Coifman and Ioannis G. Kevrekidis",
  title =        "Data-Driven Reduction for a Class of Multiscale
                 Fast--Slow Stochastic Dynamical Systems",
  journal =      j-SIAM-J-APPL-DYN-SYST,
  volume =       "15",
  number =       "3",
  pages =        "1327--1351",
  month =        "????",
  year =         "2016",
  CODEN =        "SJADAY",
  DOI =          "https://doi.org/10.1137/151004896",
  ISSN =         "1536-0040",
  ISSN-L =       "1536-0040",
  MRclass =      "37M10 (62-07)",
  MRnumber =     "3519544",
  MRreviewer =   "Cees G. H. Diks",
  bibdate =      "Mon Mar 13 14:08:24 MDT 2017",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIADS/15/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjappldynsyst.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Applied Dynamical Systems",
  journal-URL =  "http://epubs.siam.org/siads",
  onlinedate =   "January 2016",
}

@Article{Bertalan:2017:CGD,
  author =       "Tom Bertalan and Yan Wu and Carlo Laing and C. William
                 Gear and Ioannis G. Kevrekidis",
  title =        "Coarse-Grained Descriptions of Dynamics for Networks
                 with Both Intrinsic and Structural Heterogeneities",
  journal =      "Frontiers in Computational Neuroscience",
  volume =       "11",
  month =        jun,
  year =         "2017",
  DOI =          "https://doi.org/10.3389/fncom.2017.00043",
  ISSN =         "1662-5188",
  ISSN-L =       "1662-5188",
  bibdate =      "Tue Nov 21 06:05:47 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Frontiers Comput. Neurosci.",
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  journal-URL =  "https://www.frontiersin.org/journals/computational-neuroscience",
}

@Article{Georgiou:2017:EAS,
  author =       "Anastasia S. Georgiou and Juan M. Bello-Rivas and
                 Charles William Gear and Hau-Tieng Wu and Eliodoro
                 Chiavazzo and Ioannis G. Kevrekidis",
  title =        "An Exploration Algorithm for Stochastic Simulators
                 Driven by Energy Gradients",
  journal =      j-ENTROPY,
  volume =       "19",
  number =       "7",
  pages =        "294--316",
  month =        jun,
  year =         "2017",
  CODEN =        "ENTRFG",
  DOI =          "https://doi.org/10.3390/e19070294",
  ISSN =         "1099-4300",
  ISSN-L =       "1099-4300",
  bibdate =      "Tue Nov 21 06:01:12 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Entropy",
  journal-URL =  "https://www.mdpi.com/journal/entropy/",
}

@Article{Holiday:2019:MLP,
  author =       "Alexander Holiday and Mahdi Kooshkbaghi and Juan M.
                 Bello-Rivas and C. William Gear and Antonios Zagaris
                 and Ioannis G. Kevrekidis",
  title =        "Manifold learning for parameter reduction",
  journal =      j-J-COMPUT-PHYS,
  volume =       "392",
  number =       "??",
  pages =        "419--431",
  day =          "1",
  month =        sep,
  year =         "2019",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2019.04.015",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "37N99 (34E15 62H12)",
  MRnumber =     "3948728",
  bibdate =      "Sat Jun 8 07:11:16 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2015.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999119302487",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Misc{Gear:2022:CWG,
  author =       "C. W. Gear",
  title =        "{C. W. Gear (Bill)}",
  howpublished = "Princeton University Web site.",
  year =         "2022",
  bibdate =      "Fri Nov 17 17:17:11 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://www.princeton.edu/~wgear/",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

%%% ====================================================================
%%%     Part 2: Publications about Charles William Gear and his works

@Article{Nikolai:1973:CAD,
  author =       "Paul J. Nikolai",
  title =        "Certification of ``{Algorithm 407}: {DIFSUB} for
                 Solution of Ordinary Differential Equations''",
  journal =      j-CACM,
  volume =       "16",
  number =       "7",
  pages =        "448--448",
  month =        jul,
  year =         "1973",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/362280.362306",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 07:09:36 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Nikolai73;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  note =         "See \cite{Gear:1971:AAD}.",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations); C7310 (Mathematics computing)",
  corpsource =   "Wright-Patterson Air Force Base, OH, USA",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
  keywords =     "boundary value; certification; differential equations;
                 DIFSUB; ordinary differential equations; problems",
  oldlabel =     "Nikolai73",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  treatment =    "P Practical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Nikolai73",
}

@Article{Willoughby:1973:BRN,
  author =       "Ralph A. Willoughby",
  title =        "Book Review: {{\booktitle{Numerical Initial Value
                 Problems in Ordinary Differential Equations}} (C.
                 William Gear)}",
  journal =      j-SIAM-REVIEW,
  volume =       "15",
  number =       "3",
  pages =        "676--678",
  month =        "????",
  year =         "1973",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1015088",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:06:52 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/15/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "July 1973",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Hindmarsh:1974:GOD,
  author =       "A. C. Hindmarsh",
  title =        "{GEAR}: Ordinary Differential Equation System Solver",
  type =         "Report",
  number =       "UCID-30001 (revision 3)",
  institution =  "Lawrence Livermore Laboratory",
  address =      "Livermore, CA, USA",
  year =         "1974",
  bibdate =      "Sat Nov 18 10:25:47 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Cash:1983:BRKa,
  author =       "J. R. Cash",
  title =        "Block {Runge--Kutta} Methods for the Numerical
                 Integration of Initial Value Problems in Ordinary
                 Differential Equations. {Part I}. {The} Nonstiff Case",
  journal =      j-MATH-COMPUT,
  volume =       "40",
  number =       "161",
  pages =        "175--191",
  month =        jan,
  year =         "1983",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/S0025-5718-1983-0679439-3",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65L05",
  MRnumber =     "84d:65044a",
  MRreviewer =   "W. C. Rheinboldt",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  URL =          "https://www.ams.org/journals/mcom/1983-40-161/S0025-5718-1983-0679439-3?active=current",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 B0290M (Numerical integration and differentiation);
                 B0290P (Differential equations); C4130 (Interpolation
                 and function approximation); C4160 (Numerical
                 integration and differentiation); C4170 (Differential
                 equations)",
  corpsource =   "Dept. of Math., Imperial Coll., London, UK",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "approximate numerical integration; approximation
                 theory; block implicit formulae; block Runge--Kutta
                 formulae; C. W. Gear; differential equations;
                 equations; first order; formulae; initial value;
                 initial value problems; integration; linear multistep
                 methods; nonstiff problems; order; ordinary
                 differential; problems; Runge--Kutta methods;
                 Runge--Kutta starters; stepsize; stiff problems;
                 systems; variable order; variable order block
                 explicit",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Cash:1983:BRKb,
  author =       "J. R. Cash",
  title =        "Block {Runge-Kutta} methods for the numerical
                 integration of initial value problems in ordinary
                 differential equations. {II}. {The} stiff case",
  journal =      j-MATH-COMPUT,
  volume =       "40",
  number =       "161",
  pages =        "193--206",
  month =        jan,
  year =         "1983",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/s0025-5718-1983-0679440-x",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.ams.org/journals/mcom/1983-40-161/S0025-5718-1983-0679440-X",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@PhdThesis{Keiper:1989:GBM,
  author =       "Jerry Bruce Keiper",
  title =        "Generalized {BDF} methods applied to {Hessenberg} form
                 {DAEs}",
  school =       "University of Illinois",
  address =      "Urbana, IL, USA",
  pages =        "vii + 113",
  month =        jul,
  year =         "1989",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://hdl.handle.net/2142/21587;
                 https://www.proquest.com/pqdtglobal/docview/303708169",
  abstract =     "We study the numerical solution of Hessenberg form
                 differential algebraic equations by variable stepsize
                 generalized backward difference formulae (GBDF). GBDF
                 methods of sufficiently high order are shown to
                 converge for problems of index two, three, or four. The
                 proof techniques developed are not sufficiently
                 powerful to show convergence for index five problems.
                 In addition, we perform very high precision numerical
                 experiments on problems of index two, three, four, and
                 five, using the classical six step backward difference
                 formula. The experiments confirm the analysis regarding
                 the error behavior of the index two and three problems,
                 but suggest that the analysis of the index four problem
                 is too pessimistic. It appears from the experiments
                 that index five problems can also be solved by GBDF
                 methods.",
  acknowledgement = ack-nhfb,
  advisor =      "C. W. Gear",
  advisor-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Cybenko:1993:BRC,
  author =       "George Cybenko",
  title =        "Book Review: {{\booktitle{Computation and Cognition}}
                 (C. William Gear, ed.)}",
  journal =      j-SIAM-REVIEW,
  volume =       "35",
  number =       "1",
  pages =        "147--148",
  month =        mar,
  year =         "1993",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1035021",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:55:09 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/35/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "March 1993",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Petzold:1997:DCW,
  author =       "Linda R. Petzold and Robert D. Skeel and U. Ascher and
                 K. Burrage and S. L. Campbell and G. H. Golub and E.
                 Hairer and J. M. Hyman and C. Lubich and R. D. Russell
                 and J. M. SanzSerna and A. Stuart",
  title =        "Dedication to {C. William Gear} on the occasion of his
                 60th birthday",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "18",
  number =       "1",
  pages =        "vii--ix",
  month =        jan,
  year =         "1997",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Sat May 03 12:21:33 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022); Gene Howard Golub (February 29,
                 1932--November 16, 2007)",
  xxauthor =     "Linda R. Petzold and Robert D. Skeel",
  xxnote =       "Article lost from SIAM Web site so author confusion
                 cannot yet be fixed.",
}

@Article{Skeel:1997:DCW,
  author =       "Robert D. Skeel",
  title =        "Dedicated to {C. William Gear} on the occasion of his
                 60th birthday",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "18",
  number =       "1",
  pages =        "vii--x + 1--314",
  year =         "1997",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65-06",
  MRnumber =     "1433373",
  bibdate =      "Sat Nov 18 11:55:12 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Including papers from the International Conference on
                 Scientific Computation and Differential Equations
                 (SciCADE 95) held at Stanford University, Stanford, CA,
                 1995, SIAM J. Sci. Comput. {\bf 18} (1997), no. 1.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Anonymous:1998:NRI,
  author =       "Anonymous",
  title =        "{NEC Research Institute}: an Industrial Lab with a
                 Basic Mission",
  journal =      j-SIAM-NEWS,
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "16",
  month =        dec,
  year =         "1998",
  ISSN =         "0036-1437",
  ISSN-L =       "0036-1437",
  bibdate =      "Fri Nov 17 17:27:14 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.siam.org/news/news.php?id=898",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "https://sinews.siam.org/",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022); Gene Howard Golub (February 29,
                 1932--November 16, 2007)",
}

@Misc{Haigh:2005:ICW,
  author =       "Thomas Haigh",
  title =        "An interview with {C. W. ``Bill'' Gear}",
  howpublished = "SIAM Oral Histories.",
  pages =        "129",
  day =          "17--19",
  month =        sep,
  year =         "2005",
  bibdate =      "Fri Nov 17 16:18:05 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://history.siam.org/oralhistories/gear.htm;
                 http://history.siam.org/pdfs2/CWGear_final.pdf",
  acknowledgement = ack-nhfb,
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Anonymous:2022:CG,
  author =       "Anonymous",
  title =        "{Charles Gear}",
  journal =      j-NY-TIMES,
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  day =          "3",
  month =        apr,
  year =         "2022",
  CODEN =        "NYTIAO",
  ISSN =         "0362-4331 (print), 1542-667X, 1553-8095",
  ISSN-L =       "0362-4331",
  bibdate =      "Fri Nov 17 17:10:42 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Similar text to \cite{Anonymous:2022:CWGa}.",
  URL =          "https://www.legacy.com/us/obituaries/nytimes/name/charles-gear-obituary",
  acknowledgement = ack-nhfb,
  fjournal =     "New York Times",
  journal-URL =  "http://www.nytimes.com/",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Misc{Anonymous:2022:CWGa,
  author =       "Anonymous",
  title =        "{Charles William Gear}",
  howpublished = "Town Topics: Princeton Weekly Community Newspaper.",
  day =          "3",
  month =        mar,
  year =         "2022",
  bibdate =      "Fri Nov 17 16:24:31 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.towntopics.com/wordpress/2022/03/30/obituaries-3-30-2022/",
  acknowledgement = ack-nhfb,
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Misc{Anonymous:2022:CWGb,
  author =       "Anonymous",
  title =        "{Charles William Gear}",
  howpublished = "Mather-Hodge Funeral Home Web site",
  day =          "15",
  month =        mar,
  year =         "2022",
  bibdate =      "Fri Nov 17 17:08:35 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Reprint of \cite{Anonymous:2022:CWGa}.",
  URL =          "https://www.tributearchive.com/obituaries/24425308/charles-william-gear",
  acknowledgement = ack-nhfb,
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Misc{Anonymous:2022:CWGc,
  author =       "Anonymous",
  title =        "{Charles William Gear}",
  howpublished = "University of Illinois Web site.",
  day =          "14",
  month =        oct,
  year =         "2022",
  bibdate =      "Fri Nov 17 16:24:31 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Reprint of \cite{Anonymous:2022:CWGa}.",
  URL =          "https://cs.illinois.edu/news/remembering-department-head-faculty-member-charles-william-bill-gear",
  acknowledgement = ack-nhfb,
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Misc{Anonymous:2022:CWGd,
  author =       "Anonymous",
  title =        "{Charles William Gear} Obituary",
  howpublished = "Web site [with unwanted software installation]",
  year =         "2022",
  bibdate =      "Fri Nov 17 17:13:32 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://www.echovita.com/us/obituaries/nj/princeton/charles-william-gear-14446209",
  acknowledgement = ack-nhfb,
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Kevrekidis:2022:OCWa,
  author =       "Yannis Kevrekidis and Linda Petzold",
  title =        "Obituary: {Charles William Gear}",
  journal =      j-SIAM-NEWS,
  volume =       "55",
  number =       "5",
  pages =        "??--??",
  day =          "1",
  month =        jun,
  year =         "2022",
  ISSN =         "0036-1437",
  ISSN-L =       "0036-1437",
  bibdate =      "Fri Nov 17 15:59:25 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "https://sinews.siam.org/Details-Page/obituary-charles-william-gear",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "https://sinews.siam.org/",
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Misc{Kevrekidis:2022:OCWb,
  author =       "Yannis Kevrekidis and Linda Petzold",
  title =        "Obituary: {Charles William Gear}",
  howpublished = "International Council for Industrial and Applied
                 Mathematics Web site.",
  year =         "2022",
  bibdate =      "Fri Nov 17 15:40:36 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "Reprint of \cite{Kevrekidis:2022:OCWa}",
  URL =          "https://iciam.org/news/22/7/4/obituary-charles-william-gear",
  acknowledgement = ack-nhfb,
  subject-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

%%% ====================================================================
%%% Cross-referenced entries must come last.  They are sorted by year
%%% and then by citation label, with ``bibsort --byyear'':

@Proceedings{Parslow:1969:CGT,
  editor =       "R. D. Parslow and R. W. Prowse and Richard Elliot
                 Green",
  booktitle =    "Computer Graphics: Techniques and Applications",
  title =        "Computer Graphics: Techniques and Applications",
  publisher =    pub-PLENUM,
  address =      pub-PLENUM:adr,
  pages =        "xiv + 247",
  year =         "1969",
  DOI =          "https://doi.org/10.1007/978-1-4757-1320-6",
  ISBN =         "0-306-30393-0",
  ISBN-13 =      "978-0-306-30393-7",
  LCCN =         "T385 .I5 1968",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://link.springer.com/10.1007/978-1-4757-1320-6",
  acknowledgement = ack-nhfb,
  meetingname =  "International Computer Graphics Symposium, Brunel
                 University, 1968.",
  remark =       "Organized by the Computer Science Dept., Brunel
                 University.",
  subject =      "Computer graphics; Infographie; computer graphics.;
                 Computer graphics; Computergrafik; Infographie.",
  tableofcontents = "What has computer graphics to offer? / Samuel M.
                 Matsa \\
                 Computer graphics hardware techniques; / D. R. Evans
                 \\
                 Computer graphics software techniques / S. Bird \\
                 Interactive software techniques / A. R. Rundle \\
                 Computer display system tradeoffs / Harry H. Poole \\
                 Computer graphics in the United States / C. Machover
                 \\
                 The U.K. scene / F. E. Taylor \\
                 Low cost graphics / Murray A. Ruben \\
                 Remote display terminals / R. Elliot Green \\
                 Graphical computer aided programming systems / C. W.
                 Gear \\
                 Alphanumeric terminals for management information / A.
                 E. P. Fitz \\
                 Computer graphics use for architectural design and
                 costing / P. E. Walter \\
                 Graphical output in a research establishment / F. M.
                 Larkin \\
                 Appendix to graphical output in a research
                 establishment \\
                 High energy physics applications / P. M. Blackall [and
                 others] \\
                 Mechanical design using graphics / B. T. Torson \\
                 Electronic design using graphic / D. C. McDouall \\
                 Man-machine co-operation on learning task / Roger A.
                 Chambers, and Donald Michie \\
                 Some hardware, software and applications problems / R.
                 W. Prowse \\
                 Present-day computer graphics research / R. Elliot
                 Green \\
                 Some commercially available computer graphics systems",
}

@Book{Gear:1971:NIV,
  author =       "Charles William Gear",
  booktitle =    "Numerical Initial Value Problems in Ordinary
                 Differential Equations",
  title =        "Numerical Initial Value Problems in Ordinary
                 Differential Equations",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xvii + 253",
  year =         "1971",
  ISBN =         "0-13-626606-1 (hardcover)",
  ISBN-13 =      "978-0-13-626606-8 (hardcover)",
  LCCN =         "QA372 .G4",
  MRclass =      "65L05",
  MRnumber =     "315898",
  MRreviewer =   "T. E. Hull",
  bibdate =      "Sat Dec 19 09:50:43 MST 2020",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Prentice-Hall series in automatic computation",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark-1 =     "Foreword on page vii by series editor George Forsythe,
                 and the author's host during the sabbatical year when
                 he wrote this book.",
  remark-2 =     "The initial chapters contain multiple references to
                 work by Peter Henrici.",
  remark-3 =     "The initial chapters discuss the error amplification
                 from chopping arithmetic on the IBM 7090 series
                 machines on the solution of ODEs, and point out the
                 need for better rounding algorithms, and higher
                 numerical precision, for solving ODEs.",
  subject =      "Numerical integration; Data processing; Differential
                 equations; Mathematics; {\'E}quations
                 diff{\'e}rentielles; Informatique; Int{\'e}gration
                 num{\'e}rique; Data processing; Probl{\`e}mes aux
                 valeurs initiales; Analyse num{\'e}rique; Probl{\'e}mes
                 et exercices; Int{\'e}gration num{\'e}rique;
                 Math{\'e}matiques",
  subject-dates = "George Elmer Forsythe (8 January 1917--9 April
                 1972)",
  tableofcontents = "1: Introduction \\
                 2: Higher order one-step methods \\
                 3: Systems of equations and equations of order greater
                 than one \\
                 4: Convergence, error bounds, and error estimates for
                 one-step methods \\
                 5: The choice of step size and order \\
                 6: Extrapolation methods \\
                 7: Multivalue or multistep methods --- introduction \\
                 8: General multistep methods, order and stability \\
                 9: Multivalue methods \\
                 10: Existence, convergence, and error estimates for
                 multivalue methods \\
                 11: Special methods for special problems [stiff
                 ODEs]\\
                 12: Choosing a method",
}

@Proceedings{Gear:1972:MCR,
  editor =       "C. William Gear",
  booktitle =    "{MICRO 5: Conference Record of the 5th Annual Workshop
                 on Microprogramming, Urbana, Illinois, September
                 25--26, 1972}",
  title =        "{MICRO 5: Conference Record of the 5th Annual Workshop
                 on Microprogramming, Urbana, Illinois, September
                 25--26, 1972}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  bookpages =    "103",
  pages =        "103",
  year =         "1972",
  ISBN =         "1-4503-7369-0",
  ISBN-13 =      "978-1-4503-7369-2",
  LCCN =         "QA76.6 .G437 1972",
  bibdate =      "Tue Sep 10 10:17:27 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  editor-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Proceedings{Gear:1975:PSM,
  editor =       "C. William Gear and F. Dorr and Charles L. Lawson",
  booktitle =    "{Proceedings of the SIGNUM meeting on Software for
                 partial differential equations: Moffitt Field
                 California USA December 8--9, 1975}",
  title =        "{Proceedings of the SIGNUM meeting on Software for
                 partial differential equations: Moffitt Field
                 California USA December 8--9, 1975}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "ii + 46",
  year =         "1975",
  ISBN =         "1-4503-7793-9",
  ISBN-13 =      "978-1-4503-7793-5",
  LCCN =         "????",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  note =         "ACM SIGNUM Newsletter, vol. 10, no. 4, Dec. 1975.",
  series =       "ACM Conferences",
  acknowledgement = ack-nhfb,
  editor-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Proceedings{Rice:1977:MSI,
  editor =       "John R. Rice",
  booktitle =    "{Mathematical software III: Proceedings of a symposium
                 conducted by the Mathematics Research Center, the
                 University of Wisconsin--Madison, March 28--30, 1977}",
  title =        "{Mathematical software III: Proceedings of a symposium
                 conducted by the Mathematics Research Center, the
                 University of Wisconsin--Madison, March 28--30, 1977}",
  number =       "39",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "ix + 388",
  year =         "1977",
  DOI =          "https://doi.org/10.1016/C2013-0-11364-5",
  ISBN =         "0-12-587260-7",
  ISBN-13 =      "978-0-12-587260-7",
  LCCN =         "QA3 .U45 no. 39; QA297 .M36 1977",
  bibdate =      "Fri Dec 08 08:24:52 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/unix.bib",
  series =       "Publication of the Mathematics Research Center, the
                 University of Wisconsin, Madison",
  URL =          "https://www.sciencedirect.com/book/9780125872607/mathematical-software",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022); Michael James David Powell (29 July
                 1936--19 April 2015)",
  shorttableofcontents = "Contributors / / vii \\
                 Preface / / ix \\
                 Research, Development, and UNPACK / G. W. Stewart / 1
                 \\
                 A Technique that Gains Speed and Accuracy in the
                 Minimax Solution of Overdetermined Linear Equations /
                 M. J. Hopper and M. J. D. Powell / 15 \\
                 Infallible Calculation of Polynomial Zeros to Specified
                 Precision / G. E. Collins / 35 \\
                 Representation and Approximation of Surfaces / Robert
                 E. Barnhill / 69 \\
                 Simulation: Conflicts between Real-Time and Software /
                 C. W. Gear / 121 \\
                 Mathematical Software and Exploratory Data Analysis /
                 David C. Hoaglin / 139 \\
                 Software for $C^1$ Surface Interpolation / C. L. Lawson
                 / 161 \\
                 Mathematical Software Production / W. R. Cowell and L.
                 D. Fosdick / 195 \\
                 Computational Aspects of the Finite Element Method / I.
                 Babuska and W. Rheinboldt / 225 \\
                 The Art of Writing a Runge-Kutta Code, Part I / L. F.
                 Shampine and H. A. Watts / 257 \\
                 Multi-Level Adaptive Techniques (MLAT) for Partial
                 Differential Equations: Ideas and Software / Achi
                 Brandt / 277 \\
                 ELLPACK: A Research Tool for Elliptic Partial
                 Differential Equations Software / John R. Rice / 319
                 \\
                 A Realistic Model of Floating-Point Computation / W. S.
                 Brown / 343 \\
                 The Block Lanczos Method for Computing Eigenvalues / G.
                 H. Golub and R. Underwood / 361 \\
                 Index / / 379",
  tableofcontents = "Contributors \\
                 Preface \\
                 \\
                 1: Research, Development, and Linpack \\
                 Abstract \\
                 1. Introduction \\
                 2. Estimation of Condition Numbers \\
                 3. Stability of Least Squares Solutions \\
                 4. Scaling and Column Elimination \\
                 5. Downdating \\
                 6. Timing the BLAS \\
                 References \\
                 \\
                 2: A Technique That Gains Speed and Accuracy in the
                 Minimax Solution of Overdetermined Linear Equations \\
                 Abstract \\
                 1. Introduction \\
                 2. Numerical Instability in the Exchange Algorithm \\
                 3. The New Technique \\
                 4. Theory \\
                 5. Discussion \\
                 References \\
                 \\
                 3: Infallible Calculation Of Polynomial Zeros To
                 Specified Precision \\
                 Abstract \\
                 1. Introduction \\
                 2. Preliminaries \\
                 3. Sturm Sequences For Real Zeros \\
                 4. Sturm Sequences For Complex Zeros \\
                 5. Rolle's Theorem For Real Zeros \\
                 6. Descartes' Theorem For Real Zeros \\
                 7. Application of Interval Arithmetic \\
                 8. Complex Zeros Without Sturm Sequences \\
                 References \\
                 \\
                 4: Representation and Approximation of Surfaces \\
                 Abstract \\
                 1. Introduction \\
                 2. Interpolation Methods Defined Over Rectangles \\
                 3. Interpolation Schemes Defined Over Triangles \\
                 4. Interpolation Methods For Arbitrarily Placed Data 5.
                 Conclusions \\
                 References \\
                 Acknowledgements \\
                 \\
                 5: Simulation: Conflicts Between Real-Time And Software
                 \\
                 Abstract \\
                 1. Introduction \\
                 2. Simulation \\
                 3. Real-Time Operation \\
                 4. Numerical Integration in Real-Time \\
                 5. Errors in Numerical Integration \\
                 6. Methods For Reducing Delay and Improving Stability
                 \\
                 7. Conclusions \\
                 References \\
                 \\
                 6: Mathematical Software and Exploratory Data Analysis
                 \\
                 Abstract \\
                 1. Introduction \\
                 2. Overview of Exploratory Data Analysis \\
                 3. An Example: Timing Data \\
                 4. Software Needs of Exploratory Data Analysis \\
                 5. Summary \\
                 References \\
                 \\
                 7: Software For $C^1$ Surface Interpolation \\
                 1. Introduction \\
                 2. Problem Statement \\
                 3. Expected Applications \\
                 4. Published Work On Surface Interpolation To
                 Irregularly Located Data \\
                 5. Outline of the Algorithmic Approach Selected \\
                 6. Constructing a Triangular Grid \\
                 7. Estimating Partial Derivatives At the Grid Nodes \\
                 8. Lookup in the Triangular Grid \\
                 9. Interpolation in a Triangle \\
                 10. Examples \\
                 11. Three Criteria For Triangulation of a Strictly
                 Convex Quadrilateral \\
                 12. Global Consequences of the Local Optimization
                 Procedure \\
                 13. Mclain's Triangulation Method \\
                 14. Limits On Grid Changes When Adding a New Point \\
                 15. Conclusions \\
                 References \\
                 \\
                 8: Mathematical Software Production \\
                 Abstract \\
                 I. Introduction \\
                 II. The Evolution of Mathematical Software Production
                 \\
                 III. Intellectual Challenges \\
                 IV. Projects To Produce Mathematical Software \\
                 V. Trends in Mathematical Software Production \\
                 References \\
                 \\
                 9: Computational Aspects of the Finite Element Method
                 \\
                 1. Introduction \\
                 2. Goals of the Computational Analysis \\
                 3. The Principal Stages of the Computational Analysis
                 \\
                 4. Some Software Aspects \\
                 5. Some Computational Results \\
                 References",
}

@Book{Arden:1980:WCA,
  editor =       "Bruce W. Arden",
  booktitle =    "What Can Be Automated?: The Computer Science and
                 Engineering Research Study ({COSERS})",
  title =        "What Can Be Automated?: The Computer Science and
                 Engineering Research Study ({COSERS})",
  volume =       "3",
  publisher =    pub-MIT,
  address =      pub-MIT:adr,
  pages =        "23 + 934",
  year =         "1980",
  ISBN =         "0-262-01060-7, 0-262-51026-X (paperback)",
  ISBN-13 =      "978-0-262-01060-3, 978-0-262-51026-4 (paperback)",
  LCCN =         "QA76 .W49",
  bibdate =      "Sun Dec 30 00:09:10 MST 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "The MIT Press series in computer science",
  acknowledgement = ack-nhfb,
  subject =      "Computers; Electronic data processing",
}

@Proceedings{Freeman:1980:TSR,
  editor =       "Herbert Freeman",
  booktitle =    "{Tutorial and selected readings in interactive
                 computer graphics: initially presented at February
                 25--28 spring COMPCON 80, twentieth IEEE Computer
                 Society international conference, Jack Tar Hotel, San
                 Francisco, California}",
  title =        "{Tutorial and selected readings in interactive
                 computer graphics: initially presented at February
                 25--28 spring COMPCON 80, twentieth IEEE Computer
                 Society international conference, Jack Tar Hotel, San
                 Francisco, California}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "ix + 415",
  year =         "1980",
  LCCN =         "T385 .T87",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  subject =      "Computer graphics; Congresses; Interactive computer
                 systems; Computer software; Infographie; Congr{\'e}s;
                 Syst{\'e}mes conversationnels (Informatique); Computer
                 graphics.; Interactive computer systems.",
  tableofcontents = "Preface \\
                 Introduction \\
                 Part 1: Graphics systems \\
                 Overview \\
                 Sketchpad, man-machine graphical communication system /
                 I. E. Sutherland \\
                 Sketchpad III, a computer program for drawings in three
                 dimensions / T. E. Johnson \\
                 Mutli-function graphics for a large computer system /
                 C. Christensen and E. N. Pinson \\
                 A clipping divider / R. F. Sproull and I. E. Sutherland
                 \\
                 Part 2: Graphics facilities \\
                 Overview \\
                 An introduction to computer graphics terminals / M. H.
                 Lewin \\
                 The Adage graphics terminal / T. G. Hagan, R. J. Nixon
                 and L. J. Schaefer \\
                 A plasma-panel interactive graphics system / D. L.
                 Fulton \\
                 The PLATO IV student terminal / J. Stifle \\
                 Intermixing Refresh and Direct View storage graphics /
                 N. Thanhouser \\
                 A scan conversion algorithm with reduced storage
                 requirements / B. W. Jordan, Jr. and R. C. Barrett \\
                 A practical approach to implementing line printer
                 graphics / J. R. Rumsey and R. S. Walker \\
                 Part 3: Algorithms for line and curve generation \\
                 Overview \\
                 Algorithm for computer control of a digital plotter /
                 J. E. Bresenham \\
                 An improved algorithm for the generation of
                 nonparametric curves / B. W. Jordan, Jr., W. J. Lennon
                 and B. D. Holm \\
                 On circle generation algorithms / W. L. Chung \\
                 Fast drawing of curves for computer display / D. Cohen
                 and T. M. P. Lee \\
                 A new curve fitting method using a CRT computer display
                 / F. Yamaguchi \\
                 Part 4: Graphics languages and data structures \\
                 Overview \\
                 A general purpose graphic language / H. E. Kulsrud \\
                 Display procedures / W. M. Newman \\
                 LG: a language for analytic geometry / J. Raymond \\
                 The synthesis of solids bounded by many faces / I. C.
                 Braid \\
                 GLIDE: a language for design information systems / C.
                 Eastman and M. Henrion \\
                 Graphic and relational data base support for problem
                 solving / D. Weller and R. Williams \\
                 Part 5: Hidden-line removal algorithms \\
                 Overview \\
                 BE VISION, a package of IBM 7090 FORTRAN programs to
                 draw orthographic views of combinations of plane and
                 quadric surfaces / R. A. Weiss \\
                 The notion of quantitative invisibility and the machine
                 rendering of solids / A. Appel \\
                 A solution to the hidden-line problem for computer
                 drawn polydedra / P. P. Loutrel \\
                 A procedure for generating visible-line projections of
                 solids bounded by quadric surfaces / P. Woon and H.
                 Freeman \\
                 A solution to the hidden surface problem / M. E.
                 Newell, R. G. Newell and T. L. Sancha \\
                 Reentrant polygon clipping / I. E. Sutherland and G. W.
                 Hodgman \\
                 Sorting and the hidden surface problem / I. E.
                 Sutherland, R. F. Sproull and R. A. Schumacker \\
                 Raster-scan hidden surface algorithm techniques / G.
                 Hamlin, Jr. and C. W. Gear \\
                 The perspective representation of functions of two
                 variables / B. Kubert, J. Szabo and S. Giulieri \\
                 A two-space solution to the hidden line problem for
                 plotting functions of two variables / T. J. Wright \\
                 Part 6: Generation of halftone images \\
                 Overview \\
                 A procedure for generation of three-dimensional
                 half-toned computer graphics presentations / W. J.
                 Bouknight \\
                 Continuous shading of curved surfaces / H. Gouraud \\
                 Computer display of curved surfaces / E. Catmull \\
                 Models of light reflection for computer synthesized
                 pictures / J. F. Blinn \\
                 A new technique for displaying continuous tone images
                 on a bilevel display / J. F. Jarvis and C. S. Roberts
                 \\
                 Part 7: Computer animation \\
                 Overview \\
                 Picture-driven animation / R. M. Baecker \\
                 Animator: an on-line two-dimensional film animation
                 system / P. A. Talbot, J. W. Carr III, R. R. Coulter,
                 Jr., and R. C. Hwang \\
                 Computer generated animation of faces / F. I. Parke \\
                 ANIMA II: 3-D color animation system / R. J. Hackathorn
                 \\
                 Part 8: Freeform surfaces \\
                 Overview \\
                 Surfaces for computer-aided aircraft design / S. A.
                 Coons and B. Herzog \\
                 On Coons and other methods for the representation of
                 curved surfaces / A. F. Forrest \\
                 Visual interaction with Overhauser curves and surfaces
                 / J. A. Brewer and D. C. Anderson",
}

@Proceedings{Watson:1982:NAP,
  editor =       "George Alistair Watson",
  booktitle =    "{Numerical Analysis: Proceedings of the 9th Biennial
                 Conference, held at Dundee, Scotland, June 23--26,
                 1981}",
  title =        "{Numerical Analysis: Proceedings of the 9th Biennial
                 Conference, held at Dundee, Scotland, June 23--26,
                 1981}",
  volume =       "912",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xi + 245",
  pages =        "xi + 245",
  year =         "1982",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0093144",
  ISBN =         "0-387-11199-9 (softcover), 3-540-11199-9 (softcover),
                 3-540-39009-X (e-book)",
  ISBN-13 =      "978-0-387-11199-5 (softcover), 978-3-540-11199-3
                 (softcover), 978-3-540-39009-1 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 912; QA1 .L471; QA297 .D915n 1981",
  bibdate =      "Sat Oct 29 15:16:39 1994",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
                 library.ox.ac.uk:210/ADVANCE;
                 melvyl.cdlib.org:210/CDL90",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://www.springerlink.com/content/978-3-540-39009-1",
  acknowledgement = ack-nhfb,
  subject =      "Analisi numerica; Congressi; 1981; Dundee; Numerical
                 analysis; Congresses",
  tableofcontents = "P. H. Calamai and A. R. Conn / A second-order
                 method for solving the continuous multifacility
                 location problem / 1--25 \\
                 M. P. Cullinan and M. J. D. Powell / Data smoothing by
                 divided differences / 26--37 \\
                 G. Dahlquist / On the control of the global error in
                 stiff initial value problems / 38--49 \\
                 L. M. Delves / Chebyshev methods for integral and
                 differential equations / 50--63 \\
                 J. Douglas, Jr. / Simulation of miscible displacement
                 in porous media by a modified method of characteristic
                 procedure / 64--70 \\
                 I. S. Duff / Full matrix techniques in sparse Gaussian
                 elimination / 71--84 \\
                 R. Fletcher / Second order corrections for
                 non-differentiable optimization / 85--114 \\
                 C. W. Gear and K. A. Gallivan / Automatic methods for
                 highly oscillatory ordinary differential equations /
                 115--124 \\
                 G. H. Golub and M. L. Overton / Convergence of a
                 two-stage Richardson iterative procedure for solving
                 systems of linear equations / 125--139 \\
                 J. G. Hayes: Curved knot lines and surfaces with ruled
                 segments / 140--156 \\
                 P. J. van der Houwen / On the time integration of
                 parabolic differential equations / 157--168 \\
                 T. E. Hull / Precision control, exception handling and
                 a choice of numerical algorithms / 169--178 \\
                 P. Lancaster / Generalized Hermitian matrices: a new
                 frontier for numerical analysis? / 179--189 \\
                 R. J. Y. McLeod / Some applications of geometry in
                 numerical analysis / 190--229 \\
                 L. B. Wahlbin / A quasioptimal estimate in piecewise
                 polynomial Galerkin approximation of parabolic problems
                 / 230 --245 \\
                 Back matter / 249--251",
}

@Proceedings{Kaagstrom:1983:MPP,
  editor =       "Bo K{\aa}gstr{\"o}m and Axel Ruhe",
  booktitle =    "{Matrix Pencils: Proceedings of a Conference Held at
                 Pite Havsbad, Sweden, March 22--24, 1982}",
  title =        "{Matrix Pencils: Proceedings of a Conference Held at
                 Pite Havsbad, Sweden, March 22--24, 1982}",
  volume =       "973",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 293",
  year =         "1983",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0062089",
  ISBN =         "0-387-11983-3 (print), 3-540-11983-3 (print),
                 3-540-39447-8 (e-book)",
  ISBN-13 =      "978-0-387-11983-0 (print), 978-3-540-11983-8 (print),
                 978-3-540-39447-1 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 973",
  bibdate =      "Tue May 6 14:53:45 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://link.springer.com/book/10.1007/BFb0062089;
                 http://www.springerlink.com/content/978-3-540-39447-1",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  series-URL =   "http://link.springer.com/bookseries/304",
  subject =      "Eigenvalues; Congresses; Matrix pencils; Numerical
                 analysis",
  tableofcontents = "Front Matter / n2--xi \\
                 The condition number of equivalence transformations
                 that block diagonalize matrix pencils / James Demmel /
                 2--16 \\
                 An approach to solving the spectral problem of $A -
                 \lambda B$ / V. N. Kublanovskaya / 17--29 \\
                 On computing the Kronecker canonical form of regular
                 (A- B)-pencils / Bo K{\aa}gstr{\"o}m / 30--57 \\
                 Reducing subspaces: Definitions, properties and
                 algorithms / Paul Van Dooren / 58--73 \\
                 Differential\slash algebraic systems and matrix pencils
                 / C. W. Gear, L. R. Petzold / 75--89 \\
                 Approximation of eigenvalues defined by ordinary
                 differential equations with the Tau method / Kam-Moon
                 Liu, Eduardo L. Ortiz / 90--102 \\
                 The two-sided Arnoldi algorithm for nonsymmetric
                 eigenvalue problems / Axel Ruhe / 104--120 \\
                 Projection methods for solving large sparse eigenvalue
                 problems / Youcef Saad / 121--144 \\
                 The generalized eigenvalue problem in ship design and
                 offshore industry --- a comparison of traditional
                 methods with the Lanczos process / Liv Aasland, Petter
                 Bj{\o}rstad / 146--155 \\
                 On the practical use of the Lanczos algorithm in finite
                 element applications to vibration and bifurcation
                 problems / E. G. Carnoy, M. Geradin / 156--176 \\
                 Implementation and applications of the spectral
                 transformation Lanczos algorithm / Thomas Ericsson /
                 177--188 \\
                 Preconditioned iterative methods for the generalized
                 eigenvalue problem / D. J. Evans / 189--194 \\
                 On bounds for symmetric eigenvalue problems / Alan
                 Jennings / 195--205 \\
                 A method for computing the generalized singular value
                 decomposition / G. W. Stewart / 207--220 \\
                 Perturbation analysis for the generalized eigenvalue
                 and the generalized singular value problem / Ji-guang
                 Sun / 221--244 \\
                 A generalized SVD analysis of some weighting methods
                 for equality constrained least squares / Charles Van
                 Loan / 245--262 \\
                 On angles between subspaces of a finite dimensional
                 inner product space / Per {\AA}ke Wedin / 263--285 \\
                 The multivariate calibration problem in chemistry
                 solved by the PLS method / S. Wold, H. Martens, H. Wold
                 / 286--293 \\
                 Back Matter / 295--297",
}

@Proceedings{Haug:1984:CAA,
  editor =       "Edward J. Haug",
  booktitle =    "Computer Aided Analysis and Optimization of Mechanical
                 System Dynamics",
  title =        "Computer Aided Analysis and Optimization of Mechanical
                 System Dynamics",
  volume =       "9",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xxii + 700",
  year =         "1984",
  ISBN =         "0-387-12887-5 (U.S.), 3-540-12887-5",
  ISBN-13 =      "978-0-387-12887-0 (U.S.), 978-3-540-12887-8",
  LCCN =         "TJ173 .N38 1983",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "NATO ASI series. Series F, Computer and systems
                 sciences",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  meetingname =  "NATO Advanced Study Institute on Computer Aided
                 Analysis and Optimization of Mechanical System Dynamics
                 (1983: Iowa City, Iowa)",
  remark =       "``Proceedings of the NATO Advanced Study Institute on
                 Computer Aided Analysis and Optimization of Mechanical
                 System Dynamics held at Iowa City/USA, August 1-12,
                 1983''--Title page verso.",
  subject =      "Machinery, Dynamics of; Data processing; Congresses;
                 Dynamics; Dynamique des machines; Informatique;
                 Congr{\'e}s; Dynamique; Data processing.",
  tableofcontents = "Elements and methods of computational dynamics /
                 Edward J. Haug \\
                 Computer oriented analytical dynamics of machinery /
                 Burton Paul \\
                 Analytical methods in mechanical system dynamics / Jens
                 Wittenburg \\
                 Dual quaternions in the kinematics of spatial
                 mechanisms / Jens Wittenburg \\
                 Quaternions and Euler parameters \\
                 a brief exposition / Roger A. Wehage \\
                 Computer generation of equations of motion / Werner O.
                 Schiehlen \\
                 Vehicle dynamics applications / Werner O. Schiehlen \\
                 Methods and experience in computer aided design of
                 large-displacement mechanical systems / Milton A. Chace
                 \\
                 Spatial kinematic and dynamic analysis with Euler
                 parameters / Parviz E. Nikravesh \\
                 Application of symbolic computation to the analysis of
                 mechanical systems, including robot arms / M. A.
                 Hussain and B. Noble \\
                 Numerical methods for systems of initial value problems
                 \\
                 the state of the art / W. H. Enright \\
                 Differential-algebraic equations / C. W. Gear \\
                 The numerical solution of problems which may have high
                 frequency components / C. W. Gear \\
                 Some methods for dynamic analysis of constrained
                 mechanical systems: a survey / Parviz E. Nikravesh \\
                 Application of animated graphics in large scale
                 mechanical system dynamics / Parviz E. Nikravesh \\
                 Dynamics of flexible mechanisms / K. van der Werff and
                 J. B. Jonker \\
                 Controlled dynamic systems modeling / M. Vanderploeg
                 and G. M. Lance \\
                 Numerical integration of systems with unilateral
                 constraints / G. P. Ostermeyer \\
                 Synthesis of mechanisms / Ing. H. Rankers \\
                 Design sensitivity analysis and optimization of
                 kinematically driven systems / Edward J. Haug and
                 Vikram N. Sohoni \\
                 Design sensitivity analysis and optimization of
                 dynamically driven systems / Edward J. Haug, Neel K.
                 Mani, and Prakash Krishnaswami \\
                 Optimization methods / C. Fleury and V. Braibant \\
                 Sequential quadratic programming methods for nonlinear
                 programming / Philip E. Gill, Walter Murray, Michael A.
                 Saunders, and Margaret H. Wright",
}

@Proceedings{Bellen:1987:NMO,
  editor =       "A. (Alfredo) Bellen and C. William (Charles William)
                 Gear and E. (Elvira) Russo",
  booktitle =    "{Numerical methods for ordinary differential
                 equations: proceedings of the workshop held in L'Aguila
                 (Italy), Sept. 16--18, 1987}",
  title =        "{Numerical methods for ordinary differential
                 equations: proceedings of the workshop held in L'Aguila
                 (Italy), Sept. 16--18, 1987}",
  volume =       "1386",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "v + 136",
  year =         "1987",
  ISBN =         "0-387-51478-3, 3-540-51478-3, 3-540-48174-5 (e-book),
                 3-540-51485-6 (print)",
  ISBN-13 =      "978-0-387-51478-9, 978-3-540-51478-7,
                 978-3-540-48174-4 (e-book), 978-3-540-51485-5 (print)",
  LCCN =         "QA3.L 28 No.1386",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       ser-LECT-NOTES-MATH,
  acknowledgement = ack-nhfb,
  editor-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark =       "ISBN mistaken assigned to two titles: the other is
                 \booktitle{Iterative Methods for Simultaneous Inclusion
                 of Polynomial Zeros} (LNM 1387).",
  subject =      "Numerical analysis; Congresses; Differential
                 equations, Ordinary; Analyse num{\'e}rique;
                 Congr{\'e}s; Numerical analysis",
  xxeditor =     "A. Bellen and E. Russo and C. William (Charles
                 William) Gear",
}

@Proceedings{Crane:1987:HAC,
  editor =       "G. E. Crane",
  booktitle =    "{HSNC'87: ACM Conference on the History of Scientific
                 and Numeric Computation, conference proceedings: papers
                 presented at the Conference, Princeton, New Jersey, May
                 13-15, 1987}",
  title =        "{HSNC'87: ACM Conference on the History of Scientific
                 and Numeric Computation, conference proceedings: papers
                 presented at the Conference, Princeton, New Jersey, May
                 13-15, 1987}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "viii + 150",
  month =        oct,
  year =         "1987",
  ISBN =         "0-89791-229-2",
  ISBN-13 =      "978-0-89791-229-7",
  LCCN =         "QA76 .A25 1987",
  bibdate =      "Tue Nov 14 13:59:59 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://portal.acm.org/proceedings/hsnc/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
  author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
                 2008); George Elmer Forsythe (8 January 1917--9 April
                 1972); John Todd (16 May 1911--21 June 2007); John W.
                 Tukey (16 June 1915--26 July 2000); Leslie Fox (30
                 September 1918--1 August 1992); Magnus Rudolph Hestenes
                 (13 February 1906--31 May 1991)",
  remark =       "Sponsored by the Allegheny Region of the Association
                 for Computing Machinery in cooperation with ACM SIGNUM
                 and the Society for Industrial and Applied
                 Mathematics.",
  subject =      "Electronic data processing; Congresses; Electronic
                 digital computers; Ordinateurs; Congr{\`e}s; Electronic
                 data processing.; Electronic digital computers.",
  subject-dates = "George Elmer Forsythe (8 January 1917--9 April 1972);
                 James H. Wilkinson (27 September 1919--5 October 1986);
                 John W. Tukey (16 June 1915--26 July 2000)",
  tableofcontents = "H. H. Goldstine / Keynote address --- Remembrance
                 of things past / https://doi.org/10.1145/41579.41580 /
                 1--16 \\
                 L. Fox / Early numerical analysis in the United Kingdom
                 / https://doi.org/10.1145/41579.41581 / 21--39 \\
                 J. Todd / The prehistory and ancient history of
                 computation at the U.S. National Bureau of Standards /
                 https://doi.org/10.1145/41579.41582 / 47--51 \\
                 D. J. Wheeler / Programmed computing at the
                 Universities of Cambridge and Illinois in the early
                 fifties / https://doi.org/10.1145/41579.41583 / 53--58
                 \\
                 The development of methods of using computers for
                 calculations in the early fifties at Cambridge and
                 Illinois Universities. They are the recollections of a
                 participant. \\
                 J. R. Rice / Mathematical software and ACM Publications
                 / https://doi.org/10.1145/41579.41584 / 59--62 \\
                 M. Gutknecht / The pioneer days of scientific computing
                 in Switzerland / https://doi.org/10.1145/41579.41585 /
                 63--69 \\
                 M. R. Hestenes / Conjugacy and gradients in variational
                 theory and analysis /
                 https://doi.org/10.1145/41579.41586 / 71--90 \\
                 C.-E. Fr{\"o}berg / {B I T} --- a child of the computer
                 / https://doi.org/10.1145/41579.41587 / 91--93 \\
                 I. Babuska / Comments on postwar development of
                 computational mathematics in some countries of Eastern
                 Europe / https://doi.org/10.1145/41579.41588 / 95--96
                 \\
                 J. W. Cooley / How the FFT gained acceptance /
                 https://doi.org/10.1145/41579.41589 / 97--100 \\
                 C. W. Gear, R. Skeel / The development of ODE methods:
                 a symbiosis between hardware and numerical analysis /
                 https://doi.org/10.1145/41579.41590 / 105--115 \\
                 D. M. Young / An historical review of iterative methods
                 / https://doi.org/10.1145/41579.41591 / 117--123 \\
                 T. Oden / Some historic comments on finite elements /
                 https://doi.org/10.1145/41579.41592 / 125--130 \\
                 B. N. Parlett / J. H. Wilkinson's work and influence on
                 matrix computations /
                 https://doi.org/10.1145/41579.41593 / 133--138 \\
                 J. Varah / The work of George Forsythe and his students
                 / https://doi.org/10.1145/41579.41594 / 139--150",
}

@Proceedings{Gear:1987:SPS,
  editor =       "C. W. Gear and R. G. Voigt",
  booktitle =    "Selected Papers from the {Second Conference on
                 Parallel Processing for Scientific Computing (Norfolk,
                 VA, November 18--21, 1985)}",
  title =        "Selected Papers from the {Second Conference on
                 Parallel Processing for Scientific Computing (Norfolk,
                 VA, November 18--21, 1985)}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "287",
  year =         "1987",
  ISBN =         "0-89871-216-5 (paperback)",
  ISBN-13 =      "978-0-89871-216-2 (paperback)",
  LCCN =         "QA76.5 .C61928 1985",
  MRclass =      "084 68-06 65-06",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  editor-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  remark =       "Reprinted from the SIAM Journal on Scientific and
                 Statistical Computing Vol. 8, num. 1 and 2, 1987.",
  xxeditor =     "Robert G. Voigt and Charles William Gear",
}

@Book{Nash:1990:HSC,
  editor =       "Stephen G. Nash",
  booktitle =    "A History of Scientific Computing",
  title =        "A History of Scientific Computing",
  publisher =    pub-AW # " and " # pub-ACM,
  address =      pub-AW # " and " # pub-ACM:adr,
  pages =        "xix + 359",
  year =         "1990",
  ISBN =         "0-201-50814-1",
  ISBN-13 =      "978-0-201-50814-7",
  LCCN =         "QA76.17 .H59 1990",
  bibdate =      "Wed Dec 15 10:39:57 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;;
                 https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "ACM Press history series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022); Garrett Birkhoff (19 January 1911--22
                 November 1996); Magnus Rudolph Hestenes (13 February
                 1906--31 May 1991)",
  remark =       "Based on papers presented at the Conference on the
                 History of Scientific and Numeric Computation, held in
                 Princeton, NJ, 1987. A few brief mentions of Alston
                 Householder are indexed in the book, with photographs
                 of him on pages xvi and 344.",
  subject =      "Electronic data processing; History; Science; Data
                 processing",
  tableofcontents = "Remembrance of things past / Herman H. Goldstine /
                 5--16 \\
                 The contribution of J. H. Wilkinson to numerical
                 analysis / B. N. Parlett / 17--30 \\
                 The influence of George Forsythe and his students /
                 James Varah / 31--40 \\
                 Howard H. Aiken and the computer / I. Bernard Cohen /
                 41--52 \\
                 Particles in their self-consistent field: from
                 Hartree's differential analyzer to Cray machines /
                 Oscar Buneman / 57--62 \\
                 Fluid dynamics, reactor computations, and surface
                 representation / Garrett Birkhoff / 63--87 \\
                 The development of ODE methods: a symbiosis between
                 hardware and numerical analysis / C. W. Gear and R. D.
                 Skeel / 88--105 \\
                 A personal retrospection of reservoir simulation /
                 Donald W. Peaceman / 106--129 \\
                 How the FFT gained acceptance / James W. Cooley /
                 133--140 \\
                 Origins of the simplex method / George B. Dantzig /
                 141--151 \\
                 Historical comments on finite elements / J. Tinsley
                 Oden / 152--166 \\
                 Conjugacy and gradients / Magnus R. Hestenes / 167--179
                 \\
                 A historical review of iterative methods / David M.
                 Young / 180--194 \\
                 Shaping the evolution of numerical analysis in the
                 computer age: the SIAM thrust / I. Edward Block /
                 199--205 \\
                 Reminiscences on the University of Michigan summer
                 schools, the Gatlinburg Symposia, and Numerische
                 Mathematik / Richard S. Varga / 206--210 \\
                 The origin of mathematics of computation and some
                 personal recollections / Eugene Isaacson / 211--216 \\
                 Mathematical software and ACM publications / John R.
                 Rice / 217--227 \\
                 BIT --- a child of the computer / Carl-Erik Fr{\"o}berg
                 / 228--233 \\
                 The Los Alamos experience, 1943--1954 / N. Metropolis /
                 237--250 \\
                 The prehistory and early history of computation at the
                 U.S. National Bureau of Standards / John Todd /
                 251--268 \\
                 Programmed computing at the Universities of Cambridge
                 and Illinois in the early fifties / David J. Wheeler /
                 269--279 \\
                 Early numerical analysis in the United Kingdom / L. Fox
                 / 280--300 \\
                 The pioneer days of scientific computing in Switzerland
                 / Martin H. Gutknecht / 301--313 \\
                 The development of computational mathematics in
                 Czechoslovakia and the USSR / I. Babuska / 314--328 \\
                 The contribution of Leningrad mathematicians to the
                 development of numerical linear algebra, 1950--1986 /
                 V. N. Kublanovskaya / 329--338",
}

@Proceedings{Gear:1991:CC,
  editor =       "Charles William Gear",
  booktitle =    "Computation and Cognition: Proceedings of the {First
                 NEC Research Symposium}",
  title =        "Computation and Cognition: Proceedings of the {First
                 NEC Research Symposium}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "ix + 168",
  year =         "1991",
  ISBN =         "0-89871-272-6",
  ISBN-13 =      "978-0-89871-272-8",
  LCCN =         "QA76.27 .N43 1989",
  MRclass =      "68-06 00B25 68T05 68T10 68T50",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  series =       "Proceedings of the First NEC Research Symposium",
  acknowledgement = ack-nhfb,
  editor-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  tableofcontents = "New Opportunities in Multicomputers / H. T. Kung /
                 1 \\
                 Optical Interconnections in Computing / Joseph W.
                 Goodman / 22 \\
                 A View of Computational Learning Theory / Leslie G.
                 Valiant / 32 \\
                 Mappings Between High-Dimensional Representations of
                 Acoustic and Visual Speech Signals / Terrence J.
                 Sejnowski and Ben P. Yuhas / 52 \\
                 Colligation of Coupled Cortical Oscillators by the
                 Collapse of the Distributions of Amplitude-Dependent
                 Characteristic Frequencies / Walter J. Freeman / 69 \\
                 Directions in Natural Language Processing / Mitchell
                 Marcus / 104 \\
                 What Does Theoretical Physics Have to Say About
                 Information Science? / P. W. Anderson / 127 \\
                 Panel Session / Chairman: Professor Amari / 137",
}

@Proceedings{Anonymous:1994:PIW,
  editor =       "Anonymous",
  booktitle =    "{Proceedings of the 1994 IEEE Workshop on Motion of
                 Non-Rigid and Articulated Objects, November 11--12,
                 1994, Austin, Texas}",
  title =        "{Proceedings of the 1994 IEEE Workshop on Motion of
                 Non-Rigid and Articulated Objects, November 11--12,
                 1994, Austin, Texas}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "x + 237",
  year =         "1994",
  ISBN =         "0-8186-6435-5 (paper), 0-8186-6436-3 (microfiche)",
  ISBN-13 =      "978-0-8186-6435-9 (paper), 978-0-8186-6436-6
                 (microfiche)",
  LCCN =         "TA1634 .I33 1994",
  bibdate =      "Sat Nov 18 13:26:07 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  URL =          "http://ieeexplore.ieee.org/servlet/opac?punumber=1000;
                 http://www.gbv.de/dms/bowker/toc/9780818664359.pdf",
  acknowledgement = ack-nhfb,
  meetingname =  "IEEE Workshop on Motion of Non-Rigid and Articulated
                 Objects (1994: Austin, Tex.)",
  remark =       "IEEE catalog number 94TH0671-8.",
  subject =      "Computer vision; Congresses; Image processing; Optical
                 pattern recognition; Motion perception (Vision); Vision
                 par ordinateur; Congr{\'e}s; Traitement d'images;
                 Reconnaissance optique des formes (Informatique);
                 Perception visuelle du mouvement; Computer vision.;
                 Image processing.; Motion perception (Vision); Optical
                 pattern recognition.; Congr{\'e}s.",
  tableofcontents = "Articulated and Elastic Non-Rigid Motion: A Review
                 / J. K. Aggarwal, Q. Cai, W. Liao and B. Sabata \\
                 DigitEyes: Vision-Based Hand Tracking for
                 Human-Computer Interaction / J. M. Rehg and T. Kanade
                 \\
                 Recognition of Dexterous Manipulations from
                 Time-Varying Images / K. Takahashi, S. Seki, H. Kojima
                 and R. Oka \\
                 Study of 3-D Human Movements: Influence of the Forearm
                 Bone Morphology on the Magnitude of the Prosupination
                 Motion / V. Burdin, C. Roux, E. Stindel and C. Lefevre
                 \\
                 Tracking Facial Motion / I. A. Essa, T. Darrell and A.
                 Pentland \\
                 Human Emotion Recognition from Motion Using a Radial
                 Basis Function Network Architecture / M. Rosenblum, Y.
                 Yacoob and L. Davis \\
                 Active Motion-Based Segmentation of Human Body Outlines
                 / I. A. Kakadiaris, D. Metaxas and R. Bajcsy \\
                 Model Based Approach to Labeling Human Body Outlines /
                 M. K. Leung and Y. H. Yang \\
                 Analyzing Gait with Spatiotemporal Surfaces / S. A.
                 Niyogi and E. H. Adelson \\
                 Lower Limb Kinematics of Human Walking with the Medial
                 Axis Transformation / A. G. Bharatkumar, K. E. Daigle,
                 M. G. Pandy, Q. Cai and J. K. Aggarwal \\
                 Low Level Recognition of Human Motion (Or How to Get
                 Your Man without Finding His Body Parts) / R. Polana
                 and R. Nelson \\
                 System for Human Motion Matching between Synthetic and
                 Real Images Based on a Biomechanical Graphical Model /
                 F. J. Perales and J. Torres \\
                 Incremental Model-Based Discrimination of Articulated
                 Movement from Motion Features / N. H. Goddard \\
                 Segmenting Independently Moving, Noisy Points / D. W.
                 Jacobs and C. Chennubhotla \\
                 Simplifying Multiple Motion and Structure Analysis
                 Using Planar Parallax and Image Warping / H. S. Sawhney
                 \\
                 General Approach for Determining 3D Motion and
                 Structure of Multiple Objects from Image Trajectories /
                 T. Y. Tian and M. Shah \\
                 Recognition and Localization of Articulated Objects /
                 Y. Hel-Or and M. WermanDetermining Articulated Motion
                 from Perspective Views: A Decomposition Approach / R.
                 J. Holt, A. N. Netravali, T. S. Huang and R. J. Qian
                 \\
                 Nonrigid Motions as Homogeneous Transformations / M. A.
                 Penna \\
                 Spatio-Temporal Analysis of Nonrigid Motion from 4D
                 Data / C. Nastar and N. Ayache \\
                 Adaptive and Deformable Models Based on Simplex Meshes
                 / H. Delingette \\
                 Physically-Based Combinations of Views: Representing
                 Rigid and Nonrigid Motion / S. Sclaroff and A. P.
                 Pentland \\
                 Towards Structure and Motion Estimation from Dynamic
                 Silhouettes / T. Joshi, N. Ahuja and J. Ponce \\
                 3D Displacement Field Reconstruction on an Irregular
                 Domain from Planar Tagged Cardiac MR Images / T. S.
                 Denney, Jr. and J. L. Prince \\
                 Detecting Irregularities in Cyclic Motion / S. M. Seitz
                 and C. R. Dyer \\
                 Contour Tracking by Multi-Frame Relaxation / N. G.
                 Sharp and E. R. Hancock \\
                 Efficient Method for Contour Tracking Using Active
                 Shape Models / A. M. Baumberg and D. C. Hogg \\
                 Robust Algorithm for Motion Analysis Based on Active
                 Tubes / R. Furukawa, M. Imai and T. Uno \\
                 Iterative Estimation of Non-Rigid Motion Based on
                 Relative Elasticity / P. W. Smith and N. Nandhakumar
                 \\
                 Feature Grouping in Moving Objects / C. W. Gear \\
                 Estimating Multiple Independent Motions in Segmented
                 Images Using Parametric Models with Local Deformations
                 / M. J. Black and A. Jepson \\
                 Three Dimensional Transparent Structure Segmentation
                 and Multiple 3D Motion Estimation from Monocular
                 Perspective Image Sequences / S. Soatto and P. Perona",
}