@Preamble{
"\ifx \undefined \circled \def \circled #1{(#1)}\fi" #
"\ifx \undefined \k \let \k = \c \fi" #
"\ifx \undefined \reg \def \reg {\circled{R}}\fi"
}
@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/|"}
@String{j-COMPUTING-SUPPLEMENTUM = "Computing. Supplementum"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
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@String{pub-BALTZER:adr = "Basel, Switzerland"}
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@String{pub-BIRKHAUSER:adr = "Basel, Switzerland"}
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@String{pub-CHAPMAN-HALL-CRC:adr = "Boca Raton, FL, USA"}
@String{pub-CLARENDON = "Clarendon Press"}
@String{pub-CLARENDON:adr = "New York, NY, USA"}
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@String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton, FL
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@String{pub-DOVER = "Dover"}
@String{pub-DOVER:adr = "New York, NY, USA"}
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@String{pub-NETWORK-THEORY:adr = "Bristol, UK"}
@String{pub-NORTH-HOLLAND = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
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@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PEARSON-EDUCATION = "Pearson Education"}
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@String{pub-TELOS:adr = "Santa Clara, CA, USA and New York, NY, 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."}
@String{pub-VIEWEG = "Friedrich Vieweg und Sohn"}
@String{pub-VIEWEG:adr = "Braunschweig, Germany"}
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@String{pub-WCP:adr = "Wellesley, MA, USA"}
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@String{pub-WILEY:adr = "New York, NY, USA"}
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Science and Engineering"}
@Book{Bai:2000:TSA,
editor = "Zhaojun Bai and James Demmel and Jack Dongarra and
Axel Ruhe",
title = "Templates for the solution of algebraic eigenvalue
problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxx + 410",
year = "2000",
ISBN = "0-89871-958-5 (electronic bk.), 0-89871-471-0
(paperback)",
ISBN-13 = "978-0-89871-958-1 (electronic bk.), 978-0-89871-471-5
(paperback)",
LCCN = "QA193 .T46 2000",
MRclass = "65-02 (65F15)",
MRnumber = "MR1792141 (2001k:65003)",
MRreviewer = "Jesse L. Barlow",
bibdate = "Sat Dec 31 06:28:14 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
MathSciNet database",
note = "A practical guide.",
series = "Software, Environments, and Tools",
URL = "http://www.loc.gov/catdir/enhancements/fy0726/00059507-d.html;
http://www.loc.gov/catdir/enhancements/fy0726/00059507-t.html",
abstract = "Large-scale problems of engineering and scientific
computing often require solutions of eigenvalue and
related problems. This book gives a unified overview of
theory, algorithms, and practical software for
eigenvalue problems. It organizes this large body of
material to make it accessible for the first time to
the many nonexpert users who need to choose the best
state-of-the-art algorithms and software for their
problems. Using an informal decision tree, just enough
theory is introduced to identify the relevant
mathematical structure that determines the best
algorithm for each problem.",
acknowledgement = ack-nhfb,
subject = "Eigenvalues; Data processing",
tableofcontents = "List of symbols and acronyms \\
List of iterative algorithm templates \\
List of direct algorithms \\
List of figures \\
List of tables \\
1. Introduction \\
2. A brief tour of eigenproblems \\
3. an introduction to iterative projection methods \\
4. Hermitian eigenvalue problems \\
5. Generalized hermitian eigenvalue problems \\
6. Singular value decomposition \\
7. Non-hermitian eigenvalue problems \\
8. Generalized non-hermitian eigenvalue problems \\
9. Nonlinear eigenvalue problems \\
10. Common issues \\
11. Preconditioning techniques \\
Appendix. Of things not treated \\
Bibliography \\
Index",
}
@Book{Baker:2000:NAV,
editor = "Christopher Baker and John Pryce and Giovanni Monegato
and Guido Vanden Berghe",
title = "Numerical analysis 2000. {Vol}. {VI}. {Ordinary}
differential equations and integral equations",
publisher = "Elsevier Science B.V.",
address = "Amsterdam, The Netherlands",
pages = "v--xviii and 1--540",
year = "2000",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "00B15 (65-06)",
MRnumber = "1808857 (2001i:00025)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
MathSciNet database",
note = "J. Comput. Appl. Math. {{\bf{1}}25} (2000), no. 1-2",
acknowledgement = ack-nhfb,
}
@Book{Baumann:2000:SAD,
author = "Gerd Baumann",
title = "Symmetry analysis of differential equations with
{Mathematica}",
publisher = pub-TELOS,
address = pub-TELOS:adr,
pages = "xii + 521",
year = "2000",
ISBN = "0-387-98552-2 (hardcover)",
ISBN-13 = "978-0-387-98552-7 (hardcover)",
LCCN = "QA371 .B36 2000",
bibdate = "Wed Oct 4 11:03:45 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Includes CD-ROM.",
acknowledgement = ack-nhfb,
keywords = "differential equations -- numerical solutions --
computer programs; mathematica (computer program
language); symmetry (physics)",
}
@Book{Briggs:2000:MT,
author = "William L. Briggs and Van Emden Henson and S. F.
(Stephen Fahrney) McCormick",
title = "A multigrid tutorial",
publisher = pub-SIAM,
address = pub-SIAM:adr,
edition = "Second",
pages = "xii + 193",
year = "2000",
ISBN = "0-89871-462-1 (paperback)",
ISBN-13 = "978-0-89871-462-3 (paperback)",
LCCN = "QA377 .B75 2000",
bibdate = "Tue May 27 08:39:12 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0665/00024103-d.html;
http://www.loc.gov/catdir/enhancements/fy0665/00024103-t.html",
acknowledgement = ack-nhfb,
subject = "Differential equations, Partial; Numerical solutions;
Multigrid methods (Numerical analysis)",
}
@Book{Chapman:2000:MPE,
author = "Stephen J. Chapman",
title = "{MATLAB} programming for engineers",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xvii + 444",
year = "2000",
ISBN = "0-534-95151-1",
ISBN-13 = "978-0-534-95151-1",
LCCN = "QA297.C418 2000",
bibdate = "Mon Apr 30 05:28:40 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
keywords = "Matlab; numerical analysis -- data processing",
}
@Book{Dorato:2000:AFS,
author = "Peter Dorato",
title = "Analytic feedback system design: an interpolation
approach",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "ix + 109",
year = "2000",
ISBN = "0-534-36917-0 (paperback)",
ISBN-13 = "978-0-534-36917-0 (paperback)",
LCCN = "TJ216 .D65 2000",
bibdate = "Wed Nov 16 14:05:28 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Feedback control systems",
}
@Book{Eaton:2000:GOH,
author = "John W. (John Wesley) Eaton",
title = "{GNU Octave}: a high-level interactive language for
numerical computations: edition 3 for Octave version
2.0.13",
publisher = pub-NETWORK-THEORY,
address = pub-NETWORK-THEORY:adr,
pages = "viii + 311",
year = "2000",
ISBN = "0-9541617-2-6 (paperback)",
ISBN-13 = "978-0-9541617-2-9 (paperback)",
LCCN = "????",
bibdate = "Sat Jun 13 11:12:34 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/gnu.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.tcd.ie:210/advance",
acknowledgement = ack-nhfb,
remark = "Spine title: GNU Octave manual.",
subject = "GNU Octave; Operating systems (Computers); Handbooks,
manuals, etc",
}
@Book{Evans:2000:AIM,
author = "Michael (Michael John) Evans and T. Swartz",
title = "Approximating integrals via Monte Carlo and
deterministic methods",
volume = "20",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "ix + 288",
year = "2000",
ISBN = "0-19-850278-8",
ISBN-13 = "978-0-19-850278-4",
LCCN = "QA311 .E92 2000",
bibdate = "Tue May 27 08:39:05 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Oxford statistical science series",
URL = "http://www.loc.gov/catdir/enhancements/fy0604/99052843-d.html;
http://www.loc.gov/catdir/enhancements/fy0604/99052843-t.html",
acknowledgement = ack-nhfb,
subject = "Calculus, Integral; Approximation theory; Monte Carlo
method",
}
@Book{Flowers:2000:INM,
author = "B. H. (Brian Hilton) Flowers",
title = "An Introduction to Numerical Methods in {C++}",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
edition = "Revised",
pages = "xxii + 555",
year = "2000",
ISBN = "0-19-850693-7",
ISBN-13 = "978-0-19-850693-5",
LCCN = "QA297 .F54 2000",
bibdate = "Thu May 3 11:30:18 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0610/00037343-d.html;
http://www.loc.gov/catdir/enhancements/fy0610/00037343-t.html",
acknowledgement = ack-nhfb,
author-dates = "1924--2010",
subject = "Numerical analysis; Data processing; C++ (Computer
program language)",
}
@Book{Gallier:2000:CSG,
author = "Jean H. Gallier",
title = "Curves and surfaces in geometric modeling: theory and
algorithms",
publisher = pub-MK,
address = pub-MK:adr,
pages = "xv + 491",
year = "2000",
ISBN = "1-55860-599-1",
ISBN-13 = "978-1-55860-599-2",
LCCN = "QA567 .G28 2000",
bibdate = "Tue May 27 08:39:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "The Morgan Kaufmann series in computer graphics and
geometric modeling",
URL = "http://www.loc.gov/catdir/description/els033/99036401.html;
http://www.loc.gov/catdir/toc/els033/99036401.html",
acknowledgement = ack-nhfb,
subject = "Curves, Algebraic; Data processing; Surfaces;
Computer-aided design",
}
@Book{Garcia:2000:NMP,
author = "Alejandro L. Garcia",
title = "Numerical methods for physics",
publisher = pub-PH,
address = pub-PH:adr,
edition = "Second",
pages = "vii + 423",
year = "2000",
ISBN = "0-13-906744-2",
ISBN-13 = "978-0-13-906744-0",
LCCN = "QC20 .G37 2000",
bibdate = "Wed Nov 16 11:16:20 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Mathematical physics; Differential equations, Partial;
Numerical solutions; Physics; Data processing",
}
@Book{Govaerts:2000:NMB,
author = "Willy J. F. Govaerts",
title = "Numerical Methods for Bifurcations of Dynamical
Equilibria",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxii + 362",
year = "2000",
ISBN = "0-89871-442-7",
ISBN-13 = "978-0-89871-442-5",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
}
@Book{Griewank:2000:EDP,
author = "Andreas Griewank",
title = "Evaluating derivatives: principles and techniques of
algorithmic differentiation",
volume = "19",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxiv + 369",
year = "2000",
ISBN = "0-89871-451-6 (paperback)",
ISBN-13 = "978-0-89871-451-7 (paperback)",
LCCN = "QA304 .G76 2000",
bibdate = "Fri Nov 16 09:30:45 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Frontiers in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0621/99052587-d.html;
http://www.loc.gov/catdir/enhancements/fy0621/99052587-t.html",
acknowledgement = ack-nhfb,
subject = "Differential calculus; Data processing",
}
@Book{Hadjidimos:2000:NAV,
editor = "Apostolos Hadjidimos and Henk van der Vorst",
title = "Numerical analysis 2000. {Vol. III}. {Linear}
algebra",
publisher = pub-ELSEVIER-SCIENCE,
address = pub-ELSEVIER-SCIENCE:adr,
pages = "i--xii and 1--531",
year = "2000",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
MRclass = "65-06 (65Fxx)",
MRnumber = "MR1798517 (2001f:65003)",
bibdate = "Sat Dec 31 06:28:14 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
MathSciNet database",
note = "J. Comput. Appl. Math. {\bf 123} (2000), no. 1--2.",
acknowledgement = ack-nhfb,
}
@Book{Higham:2000:MG,
author = "Desmond J. Higham and Nicholas J. Higham",
title = "{MATLAB} Guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxii + 283",
year = "2000",
ISBN = "0-89871-469-9",
ISBN-13 = "978-0-89871-469-2",
LCCN = "QA297 .H5217 2000",
MRclass = "65-04 (00A20)",
MRnumber = "MR1787308 (2001e:65003)",
bibdate = "Tue Jan 23 09:04:18 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-njh,
keywords = "Matlab; numerical analysis -- data processing",
}
@Book{Kammler:2000:FCF,
author = "David W. Kammler",
title = "A First Course in {Fourier} Analysis",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xv + 790",
year = "2000",
ISBN = "0-13-578782-3",
ISBN-13 = "978-0-13-578782-3",
LCCN = "QA403.5 .K36 2000",
bibdate = "Tue Jan 21 08:52:44 MST 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
author-dates = "1940--",
subject = "Fourier analysis; Fourier, Analyse de; Fourier
analysis; Harmonische Analyse; Fourier, Analyse de;
Approximation, Th{\'e}orie de l'; Harmonische Analyse",
tableofcontents = "1. Fourier's Representation for Functions on $R$,
$T_p$, $Z$, and $P_N$ \\
2. Convolution of Functions on $R$, $T_p$, $Z$, and
$P_N$ \\
3. The Calculus for Finding Fourier Transforms of
Functions on $R$ \\
4. The Calculus for Finding Fourier Transforms of
Functions on $T_p$, $Z$, and $P_N$ \\
5. Operator Identities Associated with Fourier Analysis
\\
6. The Fast Fourier Transform \\
7. Generalized Functions on $R$ \\
8. Sampling \\
9. Partial Differential Equations \\
10. Wavelets \\
11. Musical Tones \\
12. Probability \\
Appendix 0. The Impact of Fourier Analysis \\
Appendix 1. Functions and Their Fourier Transforms \\
Appendix 2. The Fourier Transform Calculus \\
Appendix 3. Operators and Their Fourier Transforms \\
Appendix 4. The Whittaker--Robinson Flow Chart for
Harmonic Analysis \\
Appendix 5. FORTRAN Code for a Radix 2 FFT \\
Appendix 6. The Standard Normal Probability
Distribution \\
Appendix 7. Frequencies of the Piano Keyboard",
}
@Book{Kaushal:2000:AMM,
author = "Radhey Shyam Kaushal and D. Parashar",
title = "Advanced methods of mathematical physics",
publisher = "Alpha Science International",
address = "Pangbourne, UK",
pages = "xviii + 508",
year = "2000",
ISBN = "1-84265-017-3",
ISBN-13 = "978-1-84265-017-2",
LCCN = "QC20 .K39 2000",
bibdate = "Wed May 11 13:57:59 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Mathematical physics",
}
@Book{Kwon:2000:FEM,
author = "Young W. Kwon and Hyochoong Bang",
title = "The finite element method using {MATLAB}",
publisher = pub-CRC,
address = pub-CRC:adr,
edition = "Second",
pages = "607",
year = "2000",
ISBN = "0-8493-0096-7",
ISBN-13 = "978-0-8493-0096-7",
LCCN = "TA347.F5 K86 2000",
bibdate = "Tue May 27 08:38:59 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "CRC mechanical engineering series",
URL = "http://www.loc.gov/catdir/enhancements/fy0646/00044425-d.html",
acknowledgement = ack-nhfb,
subject = "Finite element method; Data processing; MATLAB;
Computer-aided engineering",
}
@Book{Lang:2000:AMS,
author = "Jens Lang",
title = "Adaptive multilevel solution of nonlinear parabolic
{PDE} systems: theory, algorithm, and applications",
volume = "16",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 157",
year = "2000",
ISBN = "3-540-67900-6",
ISBN-13 = "978-3-540-67900-4",
ISSN = "1439-7358",
LCCN = "QA377 .L353 2000",
bibdate = "Wed Oct 18 10:32:22 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = ser-LNCSE,
acknowledgement = ack-nhfb,
keywords = "Differential equations; Nonlinear -- Numerical
solutions -- Data processing. Multigrid methods
(Numerical analysis) -- Data processing; Parabolic --
Numerical solutions -- Data processing Differential
equations",
}
@Book{Langtangen:2000:AST,
author = "Hans Petter Langtangen and A. M. (Are Magnus) Bruaset
and Ewald Quak",
title = "Advances in software tools for scientific computing",
volume = "10",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vii + 356",
year = "2000",
ISBN = "3-540-66557-9 (softcover)",
ISBN-13 = "978-3-540-66557-1 (softcover)",
ISSN = "1439-7358",
LCCN = "QA76.6 .A336 2000",
bibdate = "Wed Oct 18 10:12:12 MDT 2000",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = ser-LNCSE,
acknowledgement = ack-nhfb,
keywords = "computer programming; object-oriented programming
(computer science); science -- data processing",
}
@Book{Maillet:2000:TQS,
editor = "Denis Maillet",
title = "Thermal quadrupoles: solving the heat equation through
integral transforms",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xiii + 370",
year = "2000",
ISBN = "0-471-98320-9",
ISBN-13 = "978-0-471-98320-0",
LCCN = "QA377 .T48 2000",
bibdate = "Wed Nov 16 13:52:27 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/;
http://www.loc.gov/catdir/description/wiley032/00039931.html;
http://www.loc.gov/catdir/toc/onix03/00039931.html",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Heat equation; Numerical solutions; Integral
transforms",
}
@Book{Meyer:2000:MAA,
author = "C. D. (Carl Dean) Meyer",
title = "Matrix analysis and applied linear algebra",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xii + 718",
year = "2000",
ISBN = "0-89871-454-0",
ISBN-13 = "978-0-89871-454-8",
LCCN = "QA188 .M495 2000",
bibdate = "Thu Jun 2 08:20:27 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0668/00029725-d.html;
http://www.loc.gov/catdir/enhancements/fy0668/00029725-t.html",
acknowledgement = ack-nhfb,
subject = "Algebras, Linear; Matrices",
}
@Book{Penny:2000:NMU,
author = "J. E. T. (John E. T.) Penny and G. R. (George R.)
Lindfield",
title = "Numerical methods using {Matlab}",
publisher = pub-PH,
address = pub-PH:adr,
edition = "Second",
pages = "xiii + 482",
year = "2000",
ISBN = "0-13-012641-1 (paper)",
ISBN-13 = "978-0-13-012641-2 (paper)",
LCCN = "QA297 .P45 2000",
bibdate = "Wed Nov 16 10:09:13 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab; numerical analysis -- data processing",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Quarteroni:2000:NM,
author = "Alfio Quarteroni and Riccardo Sacco and Fausto
Saleri",
title = "Numerical mathematics",
volume = "37",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xx + 654",
year = "2000",
ISBN = "0-387-98959-5",
ISBN-13 = "978-0-387-98959-4",
LCCN = "QA297 .Q83 2000",
bibdate = "Tue May 27 08:39:20 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in applied mathematics",
acknowledgement = ack-nhfb,
subject = "Numerical analysis",
}
@Book{Radjavi:2000:ST,
author = "Heydar Radjavi and Peter Rosenthal",
title = "Simultaneous Triangularization",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 318",
year = "2000",
DOI = "https://doi.org/10.1007/978-1-4612-1200-3",
ISBN = "0-387-98467-4 (hardcover), 0-387-98466-6 (paperback),
1-4612-1200-6 (e-book)",
ISBN-13 = "978-0-387-98467-4 (hardcover), 978-0-387-98466-7
(paperback), 978-1-4612-1200-3 (e-book)",
LCCN = "QA197 .R33 2000",
MRclass = "47-02 (15-02 15A21 47A15 47D03)",
MRnumber = "1736065 (2001e:47001)",
MRreviewer = "Donald W. Hadwin",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Universitext",
URL = "http://www.loc.gov/catdir/enhancements/fy0815/99023772-d.html;
http://www.loc.gov/catdir/enhancements/fy0815/99023772-t.html",
abstract = "A collection of matrices is said to be
triangularizable if there is an invertible matrix $S$
such that $ S^{-1} A S$ is upper triangular for every
$A$ in the collection. This generalization of
commutativity is the subject of many classical theorems
due to Engel, Kolchin, Kaplansky, McCoy and others. The
concept has been extended to collections of bounded
linear operators on Banach spaces: such a collection is
defined to be triangularizable if there is a maximal
chain of subspaces of the Banach space, each of which
is invariant under every member of the collection. Most
of the classical results have been generalized to
compact operators, and there are also recent theorems
in the finite-dimensional case. This book is the first
comprehensive treatment of triangularizability in both
the finite and infinite-dimensional cases. It contains
numerous very recent results and new proofs of many of
the classical theorems. It provides a thorough
background for research in both the linear-algebraic
and operator-theoretic aspects of triangularizability
and related areas. More generally, the book will be
useful to anyone interested in matrices or operators,
as many of the results are linked to other topics such
as spectral mapping theorems, properties of spectral
radii and traces, and the structure of semigroups and
algebras of operators. It is essentially self-contained
modulo solid courses in linear algebra (for the first
half) and functional analysis (for the second half),
and is therefore suitable as a text or reference for a
graduate course.",
acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj,
shorttableofcontents = "1: Algebras of Matrices \\
2: Semigroups of Matrices \\
3: Semigroups over fields of Characteristic Zero \\
4: Semigroups of Non-negative Matrices \\
5: Compact Operators and Invariant Subspaces \\
6: Algebras of Compact Operators \\
7: Semigroups of Compact Operators \\
8: Bounded Operators",
tableofcontents = "Preface / vii \\
Chapter One: Algebras of Matrices / 1 \\
1.1 The Triangularization Lemma / 1 \\
1.2 Burnside's Theorem / 4 \\
1.3 Triangularizability of Algebras of Matrices / 6 \\
1.4 Triangularization and the Radical / 10 \\
1.5 Block Triangularization and Characterizations of
Triangularizability / 12 \\
1.6 Approximate Commutativity / 17 \\
1.7 Nonassociative Algebras / 21 \\
1.8 Notes and Remarks / 25 \\
Chapter Two: Semigroups of Matrices / 27 \\
2.1 Basic Definitions and Propositions / 27 \\
2.2 Permutable Trace / 33 \\
2.3 Zero--One Spectra / 36 \\
2.4 Notes and Remarks / 41 \\
Chapter Three: Spectral Conditions on Semigroups / 43
\\
3.1 Reduction to the Field of Complex Numbers / 43 \\
3.2 Permutable Spectrum / 51 \\
3.3 Submultiplicative Spectrum / 55 \\
3.4 Conditions on Spectral Radius / 62 \\
3.5 The Dominance Condition on Spectra / 70 \\
3.6 Notes and Remarks / 73 \\
Chapter Four: Finiteness Lemmas and Further Spectral
Conditions / 75 \\
4.1 Reductions to Finite Semigroups / 75 \\
4.2 Subadditive and Sublinear Spectra / 80 \\
4.3 Further Multiplicative Conditions on Spectra / 89
\\
4.4 Polynomial Conditions on Spectra / 93 \\
4.5 Notes and Remarks / 102 \\
Chapter Five: Semigroups of Nonnegative Matrices / 104
\\
5.1 Decomposability / 104 \\
5.2 Indecomposable Semigroups / 115 \\
5.3 Connections with Reducibility / 127 \\
5.4 Notes and Remarks / 129 \\
Chapter Six: Compact Operators and Invariant Subspaces
/ 130 \\
6.1 Operators on Banach Spaces / 130 \\
6.2 Compact Operators / 133 \\
6.3 Invariant Subspaces for Compact Operators / 135 \\
6.4 The Riesz Decomposition of Compact Operators / 138
\\
6.5 Trace-Class Operators on Hilbert Space / 142 \\
6.6 Notes and Remarks / 149 \\
Chapter Seven: Algebras of Compact Operators / 151 \\
7.1 The Definition of Triangularizability / 151 \\
7.2 Spectra from Triangular Forms / 155 \\
7.3 Lomonosov's Lemma and McCoy's Theorem / 162 \\
7.4 Transitive Algebras / 167 \\
7.5 Block Triangularization and Applications / 173 \\
7.6 Approximate Commutativity / 183 \\
7.7 Notes and Remarks / 189 \\
Chapter Eight: Semigroups of Compact Operators / 193
\\
8.1 Quasinilpotent Compact Operators / 193 \\
8.2 A General Approach / 199 \\
8.3 Permutability and Submultiplicativity of Spectra /
205 \\
8.4 Subadditivity and Sublinearity of Spectra / 209 \\
8.5 Polynomial Conditions on Spectra / 213 \\
8.6 Conditions on Spectral Radius and Trace / 216 \\
8.7 Nonnegative Operators / 223 \\
8.8 Notes and Remarks / 241 \\
Chapter Nine: Bounded Operators / 244 \\
9.1 Collections of Nilpotent Operators / 244 \\
9.2 Commutators of Rank One / 250 \\
9.3 Bands / 262 \\
9.4 Nonnegative Operators / 272 \\
9.5 Notes and Remarks / 281 \\
References / 284 \\
Notation Index / 307 \\
Author Index / 309 \\
Subject Index / 315",
}
@Book{Recktenwald:2000:NMM,
author = "Gerald W. Recktenwald",
title = "Numerical methods with {MATLAB}: implementations and
applications",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xxviii + 786",
year = "2000",
ISBN = "0-13-030802-1, 0-201-30860-6",
ISBN-13 = "978-0-13-030802-3, 978-0-201-30860-0",
LCCN = "TA345 .R43 2000",
bibdate = "Wed Nov 16 11:30:12 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "engineering mathematics -- data processing; Matlab;
numerical analysis -- data processing",
subject = "Engineering mathematics; Data processing; MATLAB;
Numerical analysis; Data processing",
}
@Book{Ritter:2000:ACA,
author = "Klaus Ritter",
title = "Average-Case Analysis of Numerical Problems",
volume = "1733",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 254",
year = "2000",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0103934",
ISBN = "3-540-67449-7 (print), 3-540-45592-2 (e-book)",
ISBN-13 = "978-3-540-67449-8 (print), 978-3-540-45592-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 1733; QA3.L28 no. 1733 QA297",
MRclass = "65Y20 (65-02; 65Dxx; 65H05; 65C20; 65K10); 65-02
(65J15 65Y20 68W40)",
MRnumber = "1763973 (2001i:65001)",
MRreviewer = "Arthur G. Werschulz",
bibdate = "Tue May 20 09:55:03 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm2000.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0103934;
http://www.loc.gov/catdir/enhancements/fy0816/00030799-d.html;
http://www.loc.gov/catdir/enhancements/fy0816/00030799-t.html;
http://www.springerlink.com/content/978-3-540-45592-9",
ZMnumber = "0949.65146",
acknowledgement = ack-nhfb,
author-dates = "1961--",
fseries = "Lecture Notes in Mathematics",
series-URL = "http://link.springer.com/bookseries/304",
subject = "Numerical analysis; Approximation theory; Stochastic
processes",
}
@Book{Schilling:2000:ANM,
author = "Robert J. (Robert Joseph) Schilling and Sandra L.
Harris",
title = "Applied numerical methods for engineers using {MATLAB}
and {C}",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xx + 715",
year = "2000",
ISBN = "0-534-37014-4",
ISBN-13 = "978-0-534-37014-5",
LCCN = "TA345 .S34 2000",
bibdate = "Wed Nov 16 14:06:08 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
note = "CD-ROM contains NLIB version 1.0.",
acknowledgement = ack-nhfb,
keywords = "C (computer program language); engineering mathematics
--- data processing; Matlab",
subject = "MATLAB; Engineering mathematics; Data processing; C
(Computer program language)",
}
@Book{Schatzman:2002:NAM,
author = "Michelle Schatzman",
title = "Numerical analysis: a mathematical introduction",
publisher = pub-CLARENDON,
address = pub-CLARENDON:adr,
pages = "xix + 496",
year = "2002",
ISBN = "0-19-850279-6, 0-19-850852-2 (paperback)",
ISBN-13 = "978-0-19-850279-1, 978-0-19-850852-6 (paperback)",
LCCN = "QA297 .S36713 2002",
bibdate = "Thu Nov 24 08:47:35 MST 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
URL = "http://catdir.loc.gov/catdir/enhancements/fy0613/2002041475-d.html;
http://catdir.loc.gov/catdir/enhancements/fy0613/2002041475-t.html;
http://www.gbv.de/dms/goettingen/328400629.pdf",
acknowledgement = ack-nhfb,
remark = "Translation of \booktitle{Analyse Num{\'e}rique} by
Michelle Schatzman. Originally published in French by
Inter Editions, Paris 1991.",
subject = "Numerical analysis; Numerical analysis.; Numerieke
wiskunde.; Numerische Mathematik.",
tableofcontents = "1. Mathematical Preliminaries \\
2. Solutions of Equations in One Variable \\
3. Interpolation and Polynomial Approximation \\
4. Numerical Differentiation and Integration \\
5. Initial-Value Problems for Ordinary Differential
Equations \\
6. Direct Methods for Solving Linear Systems \\
7. Iterative Techniques in Matrix Algebra \\
8. Approximation Theory \\
9. Approximating Eigenvalues \\
10. Numerical Solutions of Nonlinear Systems of
Equations \\
11. Boundary-Value Problems for Ordinary Differential
Equations \\
12. Numerical Solutions to Partial Differential
Equations",
}
@Book{Serre:2002:MTA,
author = "D{\'e}nis Serre",
title = "Matrices: Theory and Applications",
volume = "216",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 202",
year = "2002",
DOI = "https://doi.org/10.1007/b98899",
ISBN = "0-387-95460-0, 0-387-22758-X (e-book)",
ISBN-13 = "978-0-387-95460-8, 978-0-387-22758-0 (e-book)",
LCCN = "QA188 .S4713 2002",
MRclass = "15-01 (15A18 15A23 65Fxx)",
MRnumber = "1923507 (2003h:15001)",
MRreviewer = "R. J. Bumcrot",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Translated from the 2001 French original.",
series = "Graduate Texts in Mathematics",
URL = "http://link.springer.com/book/10.1007/b98899;
http://www.loc.gov/catdir/enhancements/fy0817/2002022926-b.html;
http://www.loc.gov/catdir/enhancements/fy0817/2002022926-d.html;
http://www.loc.gov/catdir/enhancements/fy0817/2002022926-t.html;
http://www.springerlink.com/openurl.asp?genre=book&isbn=978-0-387-95460-8",
abstract = "In this book, D{\'e}nis Serre begins by providing a
clean and concise introduction to the basic theory of
matrices. He then goes on to give many interesting
applications of matrices to different aspects of
mathematics and also other areas of science and
engineering. The book mixes together algebra, analysis,
complexity theory and numerical analysis. As such, this
book will provide many scientists, not just
mathematicians, with a useful and reliable reference.
It is intended for advanced undergraduate and graduate
students with either applied or theoretical goals. This
book is based on a course given by the author at the
{\'E}cole Normale Sup{\'e}rieure de Lyon.\par
D{\'e}nis Serre is Professor of Mathematics at
{\'E}cole Normale Sup{\'e}rieure de Lyon and a former
member of the Institut Universaire de France. He is a
member of numerous editorial boards and the author of
Systems of Conservation Laws (Cambridge University
Press 2000). The present book is a translation of the
original French edition, \booktitle{Les Matrices:
Th{\'e}orie et Pratique}, published by Dunod (2001).",
acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj,
tableofcontents = "Cover \\
Preface \\
Table of Contents \\
List of Symbols \\
1. Elementary Theory \\
2. Square Matrices \\
3. Matrices with Real or Complex Entries \\
4. Norms \\
5. Nonnegative Matrices \\
6. Matrices with Entries in a Principal Ideal Domain;
Jordan Reduction \\
7. Exponential of a Matrix, Polar Decomposition, and
Classical Groups \\
8. Matrix Factorizations \\
9. Iterative Methods for Linear Problems \\
10. Approximation of Eigenvalues \\
References",
}
@Book{Travis:2000:IAL,
author = "Jeffrey Travis",
title = "{Internet} applications in {LabVIEW}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xix + 601",
year = "2000",
ISBN = "0-13-014144-5 (paperback\slash CD-ROM)",
ISBN-13 = "978-0-13-014144-6 (paperback\slash CD-ROM)",
LCCN = "Q185 .T83 2000",
bibdate = "Mon Apr 29 11:50:37 MDT 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/internet2000.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "National instruments virtual instrumentation series",
acknowledgement = ack-nhfb,
keywords = "Internet; LabVIEW; scientific apparatus and
instruments --- computer simulation",
}
@Book{Trefethen:2000:SMM,
author = "Lloyd N. Trefethen",
title = "Spectral Methods in {MATLAB}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xvi + 165",
year = "2000",
ISBN = "0-89871-465-6 (paperback), 0-89871-959-3 (e-book)",
ISBN-13 = "978-0-89871-465-4 (paperback), 978-0-89871-959-8
(e-book)",
LCCN = "QA377 .T65 2000",
MRclass = "65-01 (65-04)",
MRnumber = "MR1776072 (2001c:65001)",
bibdate = "Tue Jan 23 09:04:41 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Software, environments, tools",
abstract = "This is the only book on spectral methods built around
MATLAB programs. Along with finite differences and
finite elements, spectral methods are one of the three
main technologies for solving partial differential
equations on computers. Since spectral methods involve
significant linear algebra and graphics they are very
suitable for the high level programming of MATLAB. This
hands-on introduction is built around forty short and
powerful MATLAB programs, which the reader can download
from the World Wide Web. This book presents the key
ideas along with many figures, examples, and short,
elegant MATLAB programs for readers to adapt to their
own needs. It covers ODE and PDE boundary value
problems, eigenvalues and pseudospectra, linear and
nonlinear waves, and numerical quadrature.",
acknowledgement = ack-njh,
keywords = "differential equations, partial --- numerical
solutions --- data processing; Matlab; spectral theory
(mathematics)",
tableofcontents = "Preface \\
Acknowledgments \\
A note on the MATLAB programs \\
1. Differentiation matrices \\
2. Unbounded grids: The semidiscrete Fourier transform
\\
3. Periodic grids --- The DFT and FFT \\
4. Smoothness and spectral accuracy \\
5. Polynomial interpolation and clustered grids \\
6. Chebyshev differentiation matrices \\
7. Boundary value problems \\
8. Chebyshev series and the FFT \\
9. Eigenvalues and pseudospectra \\
10. Time-stepping and stability regions \\
11. Polar coordinates \\
12. Integrals and quadrature formulas \\
13. More about boundary conditions \\
14. Fourth-order problems \\
Afterword \\
Bibliography \\
Index",
}
@Book{Turner:2000:GSC,
author = "P. R. (Peter R.) Turner",
title = "Guide to scientific computing",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
edition = "Second",
pages = "ix + 301",
year = "2000",
ISBN = "0-333-79450-8",
ISBN-13 = "978-0-333-79450-0",
LCCN = "QA297 .T88 2000",
bibdate = "Thu Nov 17 07:05:28 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.ox.ac.uk:210/ADVANCE;
sirsi.library.utoronto.ca:2200/UNICORN",
series = "Macmillan mathematical guides",
acknowledgement = ack-nhfb,
keywords = "Matlab",
remark = "Previous ed.: published as Guide to numerical
analysis. 1989.",
subject = "Numerical analysis",
}
@Book{VanLoan:2000:ISC,
author = "Charles F. {Van Loan}",
title = "Introduction to scientific computing: a matrix--vector
approach using {MATLAB}",
publisher = pub-PH,
address = pub-PH:adr,
edition = "Second",
pages = "xi + 367",
year = "2000",
ISBN = "0-13-949157-0",
ISBN-13 = "978-0-13-949157-3",
LCCN = "QA76.9.M35 V375 2000",
bibdate = "Wed Nov 16 11:17:00 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "The MATLAB curriculum series",
acknowledgement = ack-nhfb,
keywords = "mathematics -- data processing; Matlab",
subject = "Mathematics; Data processing; MATLAB",
}
@Book{VanRienen:2000:NMC,
author = "Ursula {Van Rienen}",
title = "Numerical methods in computational electrodynamics:
linear systems in practical applications",
volume = "12",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 375",
year = "2000",
ISBN = "3-540-67629-5",
ISBN-13 = "978-3-540-67629-4",
ISSN = "1439-7358",
LCCN = "QC631.3 .V36 2000",
bibdate = "Tue Feb 05 09:39:24 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = ser-LNCSE,
acknowledgement = ack-nhfb,
keywords = "Electrodynamics -- Mathematics. Numerical analysis.",
}
@Book{Varga:2000:MIA,
author = "Richard S. Varga",
title = "Matrix iterative analysis",
volume = "27",
publisher = pub-SV,
address = pub-SV:adr,
edition = "2nd rev. and expanded",
pages = "x + 358",
year = "2000",
ISBN = "3-540-66321-5",
ISBN-13 = "978-3-540-66321-8",
ISSN = "0179-3632",
LCCN = "QA297.8 .V37 2000",
bibdate = "Tue May 27 08:39:15 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer series in computational mathematics",
URL = "http://lcweb.loc.gov/catdir/toc/99050196.html;
http://www.loc.gov/catdir/enhancements/fy0815/99050196-d.html",
acknowledgement = ack-nhfb,
subject = "Iterative methods (Mathematics); Matrices",
}
@Book{Zienkiewicz:2000:FEM,
author = "O. C. Zienkiewicz and Robert L. (Robert Leroy)
Taylor",
title = "The finite element method",
publisher = "Butterworth-Heinemann",
address = "Oxford, UK",
edition = "Fifth",
pages = "xvi + 689 (vol. 1), xiv + 459 (vol. 2), xiv + 334
(vol. 3)",
year = "2000",
ISBN = "0-7506-5049-4 (vol. 1), 0-7506-5055-9 (vol. 2),
0-7506-5050-8 (vol. 3)",
ISBN-13 = "978-0-7506-5049-6 (vol. 1), 978-0-7506-5055-7 (vol.
2), 978-0-7506-5050-2 (vol. 3)",
LCCN = "TA640.2 .Z5 2000",
bibdate = "Tue May 27 08:39:03 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/els031/00710705.html;
http://www.loc.gov/catdir/toc/els051/00710705.html",
acknowledgement = ack-nhfb,
subject = "Structural analysis (Engineering); Continuum
mechanics; Finite element method",
tableofcontents = "v. 1. The basis \\
v. 2. Solid mechanics \\
v. 3. Fluid dynamics",
}
@Book{Alefeld:2001:SAM,
editor = "G{\"o}tz Alefeld and Ji{\v{r}}i Rohn and Siegfried
Rump and Tetsuro Yamamoto",
title = "Symbolic algebraic methods and verification methods",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 266",
year = "2001",
ISBN = "3-211-83593-8",
ISBN-13 = "978-3-211-83593-7",
LCCN = "QA76.9.M35 S92 2001",
bibdate = "Thu May 09 07:34:15 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
price = "US\$69.95",
series = "Springer mathematics",
URL = "http://www.springer-ny.com/detail.tpl?cart=10209516271260963&isbn=3211835938",
abstract = "The usual `implementation' of real numbers as floating
point numbers on existing computers has the well-known
disadvantage that most of the real numbers are not
exactly representable in floating point. Also the four
basic arithmetic operations can usually not be
performed exactly. During the last years research in
different areas has been intensified in order to
overcome these problems. ({\em LEDA-Library}, by K.
Mehlhorn et al., {\em Exact arithmetic with real
numbers}, by A. Edalat et al., Symbolic algebraic
methods, verification methods). The latest development
is the combination of symbolic-algebraic methods and
verification methods to so-called hybrid methods. This
book contains a collection of worked out talks on these
subjects given during a Dagstuhl seminar at the
Forschungszentrum fuer Informatik, Schlo{\ss} Dagstuhl,
Germany, presenting the state of the art.",
acknowledgement = ack-nhfb,
keywords = "Computer arithmetic; Floating-point arithmetic;
Numerical calculations--Verification",
tableofcontents = "Introduction (G. Alefeld, J. Rohn, S. Rump, T.
Yamamoto) \\
Topological Concepts for Hierarchies of Variables,
Types and Controls (R. Albrecht) \\
Modifications of the Oettli-Prager Theorem with
Application to the Eigenvalue Problem (G. Alefeld, V.
Kreinovich, G. Mayer) \\
Symbolic-Numeric Algorithms for Polynomials: Some
Recent Results (R. Corless) \\
Symbolic-Numeric QD-Algorithms with Applications in
Function Theory and Linear Algebra (A. Cuyt) \\
On the Isoefficiency of the Parallel Descartes Method
(Th. Decker, W. Krandick) \\
Matrix Methods for Solving Algebraic Systems (I. Z.
Emiris) \\
A Feasibility Result for Interval Gaussian Elimination
Relying on Graph Structure (A. Frommer) \\
Solution of Systems of Polynomial Equations by Using
Bernstein Expansion (J. Garloff, A. P. Smith) \\
Symbolic-Algebraic Computations in Modeling Language
for Mathematical Programming (D. M. Gay) \\
Translation of Taylor Series into LFT Expansions (R.
Heckmann) \\
Quasi Convex-Concave Extensions (Chr. Jansson) \\
Rewriting, Induction and Decision Procedures: A Case
Study of Presburger Arithmetic (D. Kapur) \\
Derivative-Based Subdivision in Multi-dimensional
Verified Gaussian Quadrature (B. Lang) \\
On the Shape of the Fixed Points of
$\overline{A}f\overline{U}(\overline{A}x\overline{U}) =
\overline{A}A\overline{U}\overline{A}x\overline{U} +
\overline{A}b\overline{U}$ (G. Mayer, I. Warnke) \\
Exact Computation with LEDA real --- Theory and
Geometric Applications (K. Mehlhorn, St. Schirra) \\
Numerical Verification Method for Solutions of
Nonlinear Hyperbolic Equations (T. Minamoto) \\
Geometric Series Bounds for the Local Errors of Taylor
Methods for Linear $n$-th-Order ODEs (M. Neher) \\
Save Numerical Error Bounds for Solutions of Nonlinear
Elliptic Boundary Value Problems (M. Plum) \\
Fast Verification Algorithms in MATLAB (S. Rump) \\
The Linear Complementarity Problem with Interval Data
(U. Sch{\"a}fer) \\
Some Numerical Methods for Nonlinear Least Squares
Problems (St. Shakhno) \\
A New Insight of the Shortley--Weller Approximation for
Dirichlet Problems (T. Yamamoto) \\
How Orthogonality is Lost in Krylov Methods
(\ldots{})",
}
@Book{Axelsson:2001:FES,
author = "O. Axelsson and V. A. (Vincent Allan) Barker",
title = "Finite element solution of boundary value problems:
theory and computation",
volume = "35",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxiii + 432",
year = "2001",
ISBN = "0-89871-499-0 (paperback)",
ISBN-13 = "978-0-89871-499-9 (paperback)",
LCCN = "QA379 .A9 2001",
bibdate = "Tue May 27 08:38:16 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Classics in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0726/2001032024-d.html;
http://www.loc.gov/catdir/enhancements/fy0726/2001032024-t.html",
acknowledgement = ack-nhfb,
author-dates = "1934--",
remark = "Originally published: Orlando, Fla. : Academic Press,
1984, in series: Computer science and applied
mathematics.",
subject = "Boundary value problems; Numerical solutions; Finite
element method",
}
@Book{Babuska:2001:FEM,
author = "Ivo Babu{\v{s}}ka and Theofanis Strouboulis",
title = "The finite element method and its reliability",
publisher = pub-CLARENDON,
address = pub-CLARENDON:adr,
pages = "xi + 802",
year = "2001",
ISBN = "0-19-850276-1",
ISBN-13 = "978-0-19-850276-0",
LCCN = "TA347.F5 B33 2001",
bibdate = "Tue May 27 08:38:13 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Numerical mathematics and scientific computation",
URL = "http://www.loc.gov/catdir/enhancements/fy0612/2001021269-d.html;
http://www.loc.gov/catdir/toc/fy02/2001021269.html",
acknowledgement = ack-nhfb,
subject = "Finite element method; Reliability (Engineering)",
tableofcontents = "Machine generated contents note: 1 Introduction \\
1.0 Introduction \\
1.1 A brief history of the finite element method \\
1.2 On computational engineering \\
2 Mathematical formulation of the model problem \\
2.0 Introduction \\
2.1 The one-dimensional model problem \\
2.1* The two-dimensional model problem \\
2.2 The variational formulation of the model problem
\\
2.2* The variational formulation of the model problem
in two dimensions \\
2.3 Smoothness of the solution of the model problem \\
2.3* Smoothness of the solution of the two-dimensional
model problem \\
2.4 Historical and bibliographical remarks \\
3 The finite element method \\
3.0 Introduction \\
3.1 The Galerkin method and the properties of the
approximate solution \\
3.1* The Galerkin method in two dimensions \\
3.2 The finite element method \\
3.2* The finite element method in two dimensions \\
3.3 The finite element interpolation and approximation
error \\
3.3* The finite element interpolation and approximation
error in \\
two dimensions \\
3.4 The finite element interpolation and approximation:
a special case \\
3.4* The interpolation error for the function ragp(0)
in two dimensions \\
3.5 The description of the mesh and analyses of its
optimality \\
3.5* The description of the mesh and analysis of its
optimality in \\
two dimensions \\
3.6 Historical and bibliographical comments \\
4 Local behavior in the finite element method \\
4.0 Introduction \\
4.1 A-priori estimates for the nodal errors and the
maximum error \\
4.1* A-priori estimates for the nodal errors and the
maximum error in \\
two dimensions \\
4.2 A-priori estimates for negative norms of the error
\\
4.2* A-priori estimates for negative norms of the error
in two dimensions \\
4.3 Local and pollution error in the finite element
solution \\
4.3* The splitting of the error in the two-dimensional
case \\
4.4 A-priori estimates for the pollution error \\
4.4* A-priori estimates for the pollution error in two
dimensions \\
4.5 Further analysis of the pollution error: Interior
estimates \\
4.5* The interior estimates in two dimensions \\
4.6 A-priori estimates for the local error:
superconvergence \\
4.6* Superconvergence in two dimensions \\
4.7 A general approach for the analysis of local
behavior of finite \\
element methods for locally periodic meshes and its
applications \\
4.7* A general approach for local asymptotic analysis
and analysis of \\
the superconvergence in two dimensions \\
4.8 Superconvergence via local averaging \\
4.8* Superconvergence based on local recovery: the
two-dimensional case \\
4.9 Historical and bibliographical comments \\
5 A-posteriori estimation of the error \\
5.0 Introduction \\
5.1 The residuum and the construction of lower and
upper estimators \\
for the energy norm of the error \\
5.1* The residuum and the construction of lower and
upper estimators \\
for the energy norm of the error: the two dimensional
case \\
5.2 Analysis of the Dirichlet element residual
estimator \\
5.2* Analysis of the Dirichlet element residual
estimator in two dimensions \\
5.3 Analysis of the Neumann element residual estimator
\\
5.3* Analysis of the Neumann element residual estimator
in two \\
dimensions \\
5.4 Subdomain residual estimates \\
5.4* Subdomain residual estimates in two dimensions \\
5.5 Analysis of the explicit element residual estimator
\\
5.5* Analysis of the explicit element residual
estimator in two dimensions \\
5.6 A-posteriori error estimates based on local
averaging \\
5.6* A-posteriori estimates based on local averaging:
the \\
two-dimensional case \\
5.7 The effectivity of the error indicators: the
principles for their \\
comparison and the detailed analysis of their quality
\\
5.7* The asymptotic analysis of the effectiveness of
the element error \\
indicators in two dimensions \\
5.8 Historical and bibliographical comments \\
6 Guaranteed a-posteriori error estimation and
a-posteriori \\
estimation of the pollution error \\
6.0 Introduction \\
6.1 Upper and lower bounds for the energy norm of the
error \\
6.1* Upper and lower bounds for the energy norm of the
error in \\
two dimensions \\
6.2 Upper and lower bounds for the error in the output,
and \\
a-posteriori estimation of the pollution \\
6.2* Upper and lower bounds for the error in the
outputs, and \\
a-posteriori estimation of the pollution error in two
dimensions \\
6.3* Historical and bibliographical comments \\
.epilogue \\
/ Appendix to chapter 2 \\
Appendix to chapter 3 \\
Glossary of symbols \\
Author Index \\
Subject Index",
}
@Book{Banks:2001:DEG,
author = "Bernard W. Banks",
title = "Differential equations with graphical and numerical
methods",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xiii + 462",
year = "2001",
ISBN = "0-13-084376-8",
ISBN-13 = "978-0-13-084376-0",
LCCN = "QA371 .B26 2001",
bibdate = "Wed Nov 16 10:34:57 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Maple; Mathematica; Matlab",
subject = "Differential equations",
}
@Book{Barker:2001:LUG,
author = "V. A. Barker and L. S. Blackford and J. J. Dongarra
and J. J. Du Croz and S. J. Hammarling and M. Marinova
and J. Wa{\'s}niewski and P. Yalamov",
title = "{LAPACK95} Users' Guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xviii + 258",
year = "2001",
ISBN = "0-89871-504-0 (paperback), 0-89871-820-1 (e-book)",
ISBN-13 = "978-0-89871-504-0 (paperback), 978-0-89871-820-1
(e-book)",
LCCN = "QA76.73.F25 L36 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Software, environments, and tools",
URL = "http://www.loc.gov/catdir/enhancements/fy0726/2001042995-d.html;
http://www.loc.gov/catdir/enhancements/fy0726/2001042995-t.html",
abstract = "LAPACK95 is a Fortran 95 interface to the Fortran 77
LAPACK library. It is relevant for anyone who writes in
the Fortran 95 language and needs reliable software for
basic numerical linear algebra. It improves upon the
original user-interface to the LAPACK package, taking
advantage of the considerable simplifications that
Fortran 95 allows. LAPACK95 Users' Guide provides an
introduction to the design of the LAPACK95 package, a
detailed description of its contents, reference manuals
for the leading comments of the routines, and example
programs.",
acknowledgement = ack-nhfb,
subject = "LAPACK; FORTRAN (Computer program language); Fortran
(Langage de programmation); Subroutines (Computer
programs); Sous-programmes (Logiciels)",
tableofcontents = "Preface \\
Part I: General information \\
Chapter 1: Essentials \\
Chapter 2: Contents of LAPACK95 \\
Chapter 3: Documentation Design and Program Examples
\\
Chapter 4: Performance and Troubleshooting \\
Part II: Driver Routines \\
Chapter 5: Driver Routines for Linear Systems \\
Chapter 6: Driver Routines for Least Squares Problems
\\
Chapter 7: Driver Routines for Standard Eigenvalue
Problems \\
Chapter 8: Driver Routines for Generalized Eigenvalue
Problems \\
Chapter 9: Driver Routines for Singular Value Problems
\\
Part III: Computational Routines \\
Chapter 10: Computational Routines \\
Bibliography \\
Index by Keyword \\
Index by Routine Name",
}
@Book{Besset:2001:OOI,
author = "Didier H. Besset",
title = "Object-oriented implementation of numerical methods:
an introduction with {Java} and {Smalltalk}",
publisher = pub-MORGAN-KAUFMANN,
address = pub-MORGAN-KAUFMANN:adr,
pages = "xxv + 766",
year = "2001",
ISBN = "1-55860-679-3",
ISBN-13 = "978-1-55860-679-1",
LCCN = "QA76.76.D47 B475 2001",
bibdate = "Mon May 06 06:48:28 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/java2000.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
contents = "1. Introduction \\
2. Function Evaluation \\
3. Interpolation \\
4. Iterative Algorithms \\
5. Finding the Zero of a Function \\
6. Integration of Functions \\
7. Series \\
8. Linear Algebra \\
9. Elements of Statistics \\
10. Statistical Analysis \\
11. Optimization \\
12. Data Mining \\
App. A. Decimal Floating-Point Simulation \\
App. B. Smalltalk Primer for Java Programmers \\
App. C. Java Primer for Smalltalk Programmers \\
App. D. Additional Probability Distributions \\
App. E. Accurate Accumulation of Expectation Values.",
keywords = "computer software -- development; object-oriented
programming (computer science)",
}
@Book{Cartwright:2001:UPB,
author = "D. J. Cartwright",
title = "Underlying principles of the boundary element method",
publisher = "WIT",
address = "Southampton",
pages = "276",
year = "2001",
ISBN = "1-85312-839-2",
ISBN-13 = "978-1-85312-839-4",
ISSN = "1460-1419",
LCCN = "TA347.B69 C37 2001",
bibdate = "Tue May 27 08:38:10 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Boundary element methods",
}
@Book{Desai:2001:IFE,
author = "C. S. (Chandrakant S.) Desai and T. (Tribikram).
Kundu",
title = "Introductory finite element method",
publisher = pub-CRC,
address = pub-CRC:adr,
pages = "496",
year = "2001",
ISBN = "0-8493-0243-9",
ISBN-13 = "978-0-8493-0243-5",
LCCN = "TA347.F5 .D48 2001",
bibdate = "Tue May 27 08:38:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0646/2001017466-d.html",
acknowledgement = ack-nhfb,
author-dates = "1936--",
subject = "Finite element method",
}
@Book{Goedecker:2001:PON,
author = "S. (Stefan) Goedecker and Adolfy Hoisie",
title = "Performance optimization of numerically intensive
codes",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 173",
year = "2001",
ISBN = "0-89871-484-2 (paperback)",
ISBN-13 = "978-0-89871-484-5 (paperback)",
LCCN = "QA76.9.A73 G635 2001",
bibdate = "Fri Nov 16 09:29:10 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Software, environments, tools",
URL = "http://www.loc.gov/catdir/enhancements/fy0739/00067939-d.html;
http://www.loc.gov/catdir/enhancements/fy0739/00067939-t.html",
acknowledgement = ack-nhfb,
subject = "Computer architecture; Electronic digital computers;
Parallel processing (Electronic computers)",
}
@Book{Hanselman:2001:MMC,
author = "Duane C. Hanselman and Bruce Littlefield",
title = "Mastering {MATLAB 6}: a comprehensive tutorial and
reference",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xviii + 814",
year = "2001",
ISBN = "0-13-019468-9",
ISBN-13 = "978-0-13-019468-8",
LCCN = "QA297 .H293 2001",
bibdate = "Wed May 8 09:21:58 MDT 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
keywords = "Matlab; numerical analysis -- data processing",
}
@Book{Harrison:2001:CMP,
author = "P. (Paul) Harrison",
title = "Computational methods in physics, chemistry, and
biology: an introduction",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xix + 201",
year = "2001",
ISBN = "0-471-49562-X (hardcover), 0-471-49563-8 (limp)",
ISBN-13 = "978-0-471-49562-8 (hardcover), 978-0-471-49563-5
(limp)",
LCCN = "QC20.7.A5 H39 2001",
bibdate = "Tue May 27 08:38:12 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/wiley035/2001045412.html;
http://www.loc.gov/catdir/toc/wiley021/2001045412.html",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Mathematical physics",
}
@Book{Herniter:2001:PM,
author = "Marc E. Herniter",
title = "Programming in {MATLAB}",
publisher = "Brooks\slash Cole--Thomson Learning",
address = "Pacific Grove, CA, USA",
pages = "xx + 486",
year = "2001",
ISBN = "0-534-36880-8 (paperback)",
ISBN-13 = "978-0-534-36880-7 (paperback)",
LCCN = "QA297 .H43 2001",
bibdate = "Wed Nov 16 14:04:05 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Hunt:2001:GMB,
author = "Brian R. Hunt and Ronald L. Lipsman and Jonathan M.
(Jonathan Micah) Rosenberg",
title = "A guide to {MATLAB}: for beginners and experienced
users",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xvii + 327",
year = "2001",
ISBN = "0-521-80380-2 (hardcover), 0-521-00859-X (paperback)",
ISBN-13 = "978-0-521-80380-9 (hardcover), 978-0-521-00859-4
(paperback)",
LCCN = "QA297 .H86 2001",
MRclass = "65-01 (65Y15)",
MRnumber = "MR1849480 (2002e:65001)",
bibdate = "Tue May 27 08:38:41 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.ox.ac.uk:210/ADVANCE;
melvyl.cdlib.org:210/CDL90;
z3950.loc.gov:7090/Voyager",
note = "With Kevin R. Coombes, John E. Osborn, and Garrett J.
Stuck",
URL = "http://www.cambridge.org/uk/catalogue/email.asp?isbn=052100859X;
http://www.loc.gov/catdir/description/cam021/00068880.html;
http://www.loc.gov/catdir/toc/cam022/00068880.html",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Karris:2001:NAU,
author = "Steven T. Karris",
title = "Numerical analysis using {MATLAB} and spreadsheets",
publisher = "Orchard Publications",
address = "Fremont, CA, USA",
pages = "various",
year = "2001",
ISBN = "0-9709511-1-6",
ISBN-13 = "978-0-9709511-1-3",
LCCN = "QA297 .K37 2001",
bibdate = "Wed Nov 16 14:45:34 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis; Data processing; MATLAB;
Electronic spreadsheets",
}
@Book{Kharab:2001:INM,
author = "Abdelwahab Kharab and Ronald B. Guenther",
title = "An Introduction to Numerical Methods: a {MATLAB}
Approach",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
pages = "440 (est.)",
year = "2001",
ISBN = "1-58488-281-6",
ISBN-13 = "978-1-58488-281-7",
LCCN = "QA297 .K52 2001",
bibdate = "Mon Feb 11 15:40:04 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
price = "US\$69.95, UK\pounds 29.99",
acknowledgement = ack-nhfb,
}
@Book{Marasco:2001:SCM,
author = "Addolorata Marasco and Antonio Romano",
title = "Scientific computing with {Mathematica}: mathematical
problems for ordinary differential equations",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xiv + 270",
year = "2001",
ISBN = "0-8176-4205-6, 3-7643-4205-6",
ISBN-13 = "978-0-8176-4205-1, 978-3-7643-4205-0",
LCCN = "QA371.5.D37 M37 2001",
bibdate = "Wed Mar 6 07:27:46 MST 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Modeling and simulation in science, engineering, and
technology",
acknowledgement = ack-nhfb,
keywords = "differential equations -- data processing; mathematics
(computer file)",
}
@Book{Moin:2001:FEN,
author = "Parviz Moin",
title = "Fundamentals of engineering numerical analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xiv + 209",
year = "2001",
ISBN = "0-521-80140-0, 0-521-80526-0 (paperback)",
ISBN-13 = "978-0-521-80140-9, 978-0-521-80526-1 (paperback)",
LCCN = "TA335 .M65 2001",
bibdate = "Tue May 27 08:38:34 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/cam021/00052933.html;
http://www.loc.gov/catdir/toc/cam029/00052933.html",
acknowledgement = ack-nhfb,
subject = "Engineering mathematics; Numerical analysis",
}
@Book{Monahan:2001:NMS,
author = "John F. Monahan",
title = "Numerical methods of statistics",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xiv + 428",
year = "2001",
ISBN = "0-521-79168-5",
ISBN-13 = "978-0-521-79168-7",
LCCN = "QA276.4 .M65 2001",
bibdate = "Tue May 27 08:38:58 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Cambridge series in statistical and probabilistic
mathematics",
URL = "http://www.loc.gov/catdir/description/cam021/00031269.html;
http://www.loc.gov/catdir/toc/cam024/00031269.html",
acknowledgement = ack-nhfb,
subject = "Mathematical statistics; Data processing; Numerical
analysis",
}
@Book{Neumaier:2001:INA,
author = "Arnold Neumaier",
title = "Introduction to Numerical Analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "viii + 356",
year = "2001",
ISBN = "0-521-33323-7, 0-521-33610-4 (paperback)",
ISBN-13 = "978-0-521-33323-8, 978-0-521-33610-9 (paperback)",
LCCN = "QA297 .N48 2001",
bibdate = "Tue May 27 08:38:20 MDT 2014",
bibsource = "http://www.mat.univie.ac.at/~neum/home.html#numbook;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/cam021/00066713.html;
http://www.loc.gov/catdir/toc/cam022/00066713.html",
acknowledgement = ack-nhfb,
annote = "Includes material on interval arithmetic.",
subject = "Numerical analysis",
}
@Book{Overton:2001:NCI,
author = "Michael L. Overton",
title = "Numerical Computing with {IEEE} Floating Point
Arithmetic, Including One Theorem, One Rule of Thumb,
and One Hundred and One Exercises",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xiv + 104",
year = "2001",
ISBN = "0-89871-482-6 (hardcover), 0-89871-571-7 (paperback),
0-89871-807-4 (ebook)",
ISBN-13 = "978-0-89871-482-1 (hardcover), 978-0-89871-571-2
(print), 978-0-89871-807-2 (e-book)",
LCCN = "QA76.9.M35 O94 2001",
MRclass = "65-02 (65G30 68M07 68N99)",
MRnumber = "MR1828597 (2003b:65002)",
MRreviewer = "Jesse L. Barlow",
bibdate = "Fri Apr 27 16:50:46 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
price = "US\$40.00",
URL = "http://www.cs.nyu.edu/cs/faculty/overton/book/;
http://www.siam.org/catalog/mcc07/ot76.htm",
abstract = "Are you familiar with the IEEE floating point
arithmetic standard? Would you like to understand it
better? This book gives a broad overview of numerical
computing, in a historical context, with a special
focus on the IEEE standard for binary floating point
arithmetic. Key ideas are developed step by step,
taking the reader from floating point representation,
correctly rounded arithmetic, and the IEEE philosophy
on exceptions, to an understanding of the crucial
concepts of conditioning and stability, explained in a
simple yet rigorous context. It gives technical details
that are not readily available elsewhere and includes
challenging exercises that go beyond the topics covered
in the text. Numerical Computing with IEEE Floating
Point Arithmetic provides an easily accessible yet
detailed discussion of IEEE Std 754-1985, arguably the
most important standard in the computer industry. The
result of an unprecedented cooperation between academic
computer scientists and the cutting edge of industry,
it is supported by virtually every modern computer.
Other topics include the floating point architecture of
the Intel microprocessors and a discussion of
programming language support for the standard.",
acknowledgement = ack-nhfb,
tableofcontents = "1: Introduction \\
2: The real numbers \\
3: Computer representation of numbers \\
4: IEEE floating point representation \\
5: Rounding \\
6: Correctly rounded floating point operations \\
7: Exceptions \\
8: The Intel microprocessors \\
9: Programming languages \\
10: Floating point in C \\
11: Cancellation \\
12: Conditioning of problems \\
13: Stability of algorithms \\
14: Conclusion",
}
@Book{Palm:2001:IME,
author = "William J. (William John) {Palm III}",
title = "Introduction to {MATLAB 6} for engineers",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xix + 600",
year = "2001",
ISBN = "0-07-234983-2 (paperback)",
ISBN-13 = "978-0-07-234983-2 (paperback)",
LCCN = "TA345 .P35 2001",
bibdate = "Mon Apr 30 05:28:40 MDT 2001",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Basic engineering series and tools",
acknowledgement = ack-nhfb,
keywords = "engineering mathematics -- data processing; Matlab;
numerical analysis -- data processing",
}
@Book{Ralston:2001:FCN,
author = "Anthony Ralston and Philip Rabinowitz",
title = "A first course in numerical analysis",
publisher = pub-DOVER,
address = pub-DOVER:adr,
edition = "Second",
pages = "xviii + 556 + 50",
year = "2001",
ISBN = "0-486-41454-X (paperback)",
ISBN-13 = "978-0-486-41454-6 (paperback)",
LCCN = "QA297 .R3 2001",
bibdate = "Tue May 27 08:38:47 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/dover032/00064343.html;
http://www.loc.gov/catdir/toc/dover031/00064343.html",
acknowledgement = ack-nhfb,
remark = "This Dover edition, first published in 2001, is an
unabridged, slightly corrected republication of the
second edition of the work originally published in
\cite{Ralston:1965:FC} and issued in a revised second
edition in \cite{Ralston:1978:FCN}.",
subject = "Numerical analysis",
}
@Book{Rienen:2001:NMC,
author = "Ursula van Rienen",
title = "Numerical Methods in Computational Electrodynamics:
{Linear} Systems in Practical Applications",
number = "12",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiii + 375",
year = "2001",
ISBN = "3-540-67629-5",
ISBN-13 = "978-3-540-67629-4",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Lecture Notes in Computational Science and
Engineering",
}
@Book{Stewart:2001:MAV,
author = "G. W. Stewart",
title = "Matrix Algorithms. {Volume II}: Eigensystems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xix + 469",
year = "2001",
ISBN = "0-89871-503-2",
ISBN-13 = "978-0-89871-503-3",
LCCN = "QA188 .S714 1998 v.2",
bibdate = "Sun Jun 19 12:32:58 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
abstract = "This book is the second volume in a projected
five-volume survey of numerical linear algebra and
matrix algorithms. This volume treats the numerical
solution of dense and large-scale eigenvalue problems
with an emphasis on algorithms and the theoretical
background required to understand them. Stressing depth
over breadth, Professor Stewart treats the derivation
and implementation of the more important algorithms in
detail. The notes and references sections contain
pointers to other methods along with historical
comments.",
acknowledgement = ack-nhfb,
subject = "Matrices",
tableofcontents = "1. Eigensystems \\
2. The QR algorithm \\
3. The symmetric eigenvalue problem \\
4. Eigenspaces and their approximation \\
5. Krylov sequence methods \\
6. Alternatives \\
7. Appendix : background",
}
@Book{Turner:2001:GSC,
author = "P. R. (Peter R.) Turner",
title = "Guide to scientific computing",
publisher = pub-CRC,
address = pub-CRC:adr,
edition = "Second",
pages = "ix + 301",
year = "2001",
ISBN = "0-8493-1242-6 , 0-333-79450-8",
ISBN-13 = "978-0-8493-1242-7, 978-0-333-79450-0",
LCCN = "QA297 .T88 2001",
bibdate = "Thu Nov 17 07:04:22 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis",
}
@Book{Urroz:2001:NSMa,
author = "Gilberto E. Urroz",
title = "Numerical and Statistical Methods with {SCILAB} for
Science and Engineering",
volume = "1",
publisher = "BookSurge Publishing",
address = "North Charleston, SC, USA",
pages = "xv + 563",
year = "2001",
ISBN = "1-58898-304-8",
ISBN-13 = "978-1-58898-304-6",
LCCN = "TA345 .U77 2001",
bibdate = "Sat Jun 13 10:49:17 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.bibsys.no:2100/BIBSYS",
acknowledgement = ack-nhfb,
libnote = "Not in my library.",
}
@Book{Urroz:2001:NSMb,
author = "Gilberto E. Urroz",
title = "Numerical and statistical methods with {SCILAB} for
science and engineering",
volume = "2",
publisher = "Greatunpublished.com",
address = "Charleston, SC, USA",
pages = "xv + 486",
year = "2001",
ISBN = "1-58898-305-6",
ISBN-13 = "978-1-58898-305-3",
LCCN = "TA345 .U77 2001",
bibdate = "Wed Jan 9 14:11:42 MST 2019",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
libnote = "Not in my library.",
}
@Book{Ancona:2002:CMA,
author = "Mario G. Ancona",
title = "Computational methods for applied physics and
engineering: an interactive approach",
publisher = "Rinton Press",
address = "Princeton, NJ",
pages = "xx + 606",
year = "2002",
ISBN = "1-58949-029-0",
ISBN-13 = "978-1-58949-029-1",
LCCN = "????",
bibdate = "Tue May 27 08:37:50 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
}
@Book{Antia:2002:NMS,
author = "H. M. Antia",
title = "Numerical methods for scientists and engineers",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
edition = "Second",
pages = "xxii + 842",
year = "2002",
ISBN = "3-7643-6715-6",
ISBN-13 = "978-3-7643-6715-2",
LCCN = "TA335 .A58 2002",
bibdate = "Tue May 27 08:37:59 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0906/2006271968-d.html",
acknowledgement = ack-nhfb,
remark = "Copyright Hindustan Book Agency (India).",
subject = "Engineering mathematics; Numerical analysis",
}
@Book{Biran:2002:ME,
author = "Adrian Biran and Moshe Breiner",
title = "{MATLAB 6} for engineers",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xx + 777",
year = "2002",
ISBN = "0-13-033631-9 (paperback)",
ISBN-13 = "978-0-13-033631-6 (paperback)",
LCCN = "QA297 .B522 2002",
bibdate = "Wed Nov 16 10:14:00 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "MATLAB; Numerical analysis; Data processing;
Engineering mathematics; Data processing",
}
@Book{Brandimarte:2002:NMF,
author = "Paolo Brandimarte",
title = "Numerical methods in finance: a {MATLAB}-based
introduction",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xv + 403",
year = "2002",
ISBN = "0-471-39686-9 (cloth)",
ISBN-13 = "978-0-471-39686-4 (cloth)",
LCCN = "HG176.5 .B73 2002",
bibdate = "Wed Nov 16 13:14:51 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Wiley series in probability and statistics",
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/;
http://www.loc.gov/catdir/bios/wiley042/2001026767.html;
http://www.loc.gov/catdir/description/wiley035/2001026767.html;
http://www.loc.gov/catdir/toc/onix06/2001026767.html",
acknowledgement = ack-nhfb,
keywords = "finance -- statistical methods; Matlab",
remark = "``A Wiley-Interscience publication.''.",
subject = "Finance; Statistical methods",
}
@Book{Chapman:2002:MPE,
author = "Stephen J. Chapman",
title = "{MATLAB} programming for engineers",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
edition = "Second",
pages = "xviii + 478",
year = "2002",
ISBN = "0-534-39056-0",
ISBN-13 = "978-0-534-39056-3",
LCCN = "QA297 .C418 2002",
bibdate = "Wed May 8 09:21:58 MDT 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "BookWare companion series",
acknowledgement = ack-nhfb,
keywords = "Matlab; numerical analysis -- data processing",
}
@Book{Ciarlet:2002:HNA,
author = "Philippe G. Ciarlet and Jacques Louis Lions",
title = "Handbook of Numerical Analysis: Solution of Equations
in $ {R}^n $ (part 4): Techniques of scientific
computing (part 4), Numerical methods for fluids (part
2)",
volume = "{VIII}",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xii + 661",
year = "2002",
ISBN = "0-444-50906-2",
ISBN-13 = "978-0-444-50906-2",
LCCN = "QA297 .H287 1990; QA297 .H34 1990; QA297 .H287 1989",
bibdate = "Sat Dec 31 10:22:12 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.mit.edu:9909/mit01",
acknowledgement = ack-nhfb,
}
@Book{Cornea:2002:SCI,
author = "Marius Cornea and John Harrison and Ping Tak Peter
Tang",
title = "Scientific computing on {Itanium}-based systems",
publisher = pub-INTEL,
address = pub-INTEL:adr,
pages = "xvii + 406",
year = "2002",
ISBN = "0-9712887-7-1",
ISBN-13 = "978-0-9712887-7-5",
LCCN = "QA76.8.I83 C67 2002",
bibdate = "Sat Dec 06 15:02:26 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography2000.bib;
https://www.math.utah.edu/pub/tex/bib/intel-ia-64.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
price = "US\$69.95",
URL = "http://www.intel.com/intelpress/sum_scientific.htm",
abstract = "Written for professionals who need to write, port, or
maintain reliable, accurate, and efficient numerical
software for the Itanium architecture, Scientific
Computing on Itanium-based Systems shows you how to
construct key numerical infrastructure and application
programs.\par
This book describes the crucial techniques required for
stability and reliability in developing numerical
kernels and applications. Through numerous tested
examples, the authors explain how you can get the most
from the 64-bit architecture. This combination of
explanation with example helps you to make difficult
computations more easily and to increase the
performance of your numerical software.\par
This book provides examples to solve problems
encountered in scientific and engineering computations,
such as:\par
* Polynomial evaluation\\
* Complex arithmetic\\
* Quad-precision arithmetic\\
* Software pipelining, to include register rotation and
modulo-scheduled loop support\\
* SIMD instructions\\
* Interval arithmetic\\
* Fast-Fourier Transformation (FFT) algorithms\\
* Numerical linear algebra and basic linear algebra
subprograms(BLAS)\\
* Vector Math Library (VML)\\
* Cryptography",
acknowledgement = ack-nhfb,
remark = "In Chapter 11, pp. 323--325, the authors discuss the
relative merits of a [low, high] interval
representation versus a {midpoint, radius}
representation, with particular reference to the
HP/Intel IA-64 architecture.",
}
@Book{Cyganowski:2002:EPS,
author = "Sasha Cyganowski and Peter E. Kloeden and Jerzy
Ombach",
title = "From elementary probability to stochastic differential
equations with {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 310",
year = "2002",
DOI = "https://doi.org/10.1007/978-3-642-56144-3",
ISBN = "3-540-42666-3 (paperback)",
ISBN-13 = "978-3-540-42666-0 (paperback)",
ISSN = "0172-5939 (print), 2191-6675 (electronic)",
ISSN-L = "0172-5939",
LCCN = "QA273 .C94 2002",
MRclass = "60-01 (34F05 60Gxx 60Hxx 60Jxx)",
MRnumber = "MR1871109 (2002k:60001)",
MRreviewer = "Denis Talay",
bibdate = "Tue Apr 29 18:44:55 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/probstat2000.bib;
prodorbis.library.yale.edu:7090/voyager;
z3950.loc.gov:7090/Voyager",
series = "Universitext",
URL = "http://www.loc.gov/catdir/enhancements/fy0817/2001054970-d.html;
http://www.loc.gov/catdir/enhancements/fy0817/2001054970-t.html",
abstract = "The authors provide a fast introduction to
probabilistic and statistical concepts necessary to
understand the basic ideas and methods of stochastic
differential equations. The book is based on measure
theory which is introduced as smoothly as possible. It
is intended for advanced undergraduate students or
graduates, not necessarily in mathematics, providing an
overview and intuitive background for more advanced
studies as well as some practical skills in the use of
MAPLE in the context of probability and its
applications. Although this book contains definitions
and theorems, it differs from conventional mathematics
books in its use of MAPLE worksheets instead of formal
proofs to enable the reader to gain an intuitive
understanding of the ideas under consideration. As
prerequisites the authors assume a familiarity with
basic calculus and linear algebra, as well as with
elementary ordinary differential equations and, in the
final chapter, simple numerical methods for such ODEs.
Although statistics is not systematically treated, they
introduce statistical concepts such as sampling,
estimators, hypothesis testing, confidence intervals,
significance levels and p-values and use them in a
large number of examples, problems and simulations.",
acknowledgement = ack-nhfb,
keywords = "Maple (computer file); probabilities; stochastic
differential equations",
subject = "Mathematics; Algorithms; Numerical analysis;
Distribution (Probability theory); Economics;
Statistics",
tableofcontents = "1. Probability basics \\
2. Measure and integral \\
3. Random variables and distributions \\
4. Parameters of distributions \\
5. A tour of important distributions \\
6. Numerical simulations and statistical inference \\
7. Stochastic processes \\
8. Stochastic calculus \\
9. Stochastic differential equations \\
10. Numerical methods of SDEs",
}
@Book{Deuflhard:2002:SCO,
author = "P. (Peter) Deuflhard and Folkmar Bornemann",
title = "Scientific computing with ordinary differential
equations",
volume = "42",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xix + 485",
year = "2002",
ISBN = "0-387-95462-7 (hardcover)",
ISBN-13 = "978-0-387-95462-2 (hardcover)",
LCCN = "QA371.5.D37 D4813 2002",
bibdate = "Tue May 27 08:37:57 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
note = "Translated by Werner C. Rheinboldt.",
series = "Texts in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0817/2002024174-d.html;
http://www.loc.gov/catdir/enhancements/fy0817/2002024174-t.html",
acknowledgement = ack-nhfb,
subject = "Differential equations; Data processing",
}
@Book{Eaton:2002:GOH,
author = "John W.. Eaton",
title = "{GNU Octave}: a high-level interactive language for
numerical computations",
publisher = pub-NETWORK-THEORY,
address = pub-NETWORK-THEORY:adr,
edition = "Third",
pages = "viii + 311",
year = "2002",
ISBN = "0-9541617-2-6",
ISBN-13 = "978-0-9541617-2-9",
LCCN = "????",
bibdate = "Sat Jun 13 11:08:12 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/gnu.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.gbv.de:20011/gvk",
note = "For Octave version 2.0.13, February 1997.",
acknowledgement = ack-nhfb,
}
@Book{Epperson:2002:INM,
author = "James F. Epperson",
title = "An introduction to numerical methods and analysis",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xv + 556",
year = "2002",
ISBN = "0-471-31647-4",
ISBN-13 = "978-0-471-31647-3",
LCCN = "QA297 .E568 2002",
bibdate = "Tue May 27 08:38:04 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/wiley036/2001033012.html;
http://www.loc.gov/catdir/enhancements/fy0730/2001033012-b.html;
http://www.loc.gov/catdir/toc/onix07/2001033012.html",
acknowledgement = ack-nhfb,
subject = "Numerical analysis",
}
@Book{Etter:2002:IM,
author = "D. M. Etter and David C. Kuncicky and Douglas W.
Hull",
title = "Introduction to {Matlab 6}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xviii + 142",
year = "2002",
ISBN = "0-13-032845-6",
ISBN-13 = "978-0-13-032845-8",
LCCN = "TA345 .E8725 2002",
bibdate = "Wed May 8 09:21:58 MDT 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "ESource--the Prentice Hall engineering source",
acknowledgement = ack-nhfb,
keywords = "engineering mathematics -- data processing; Matlab;
numerical analysis -- data processing",
}
@Book{Galassi:2002:GSL,
author = "Mark Galassi and Jim Davies and James Theiler and
Brian Gough and Gerard Jungman and Michael Booth and
Fabrice Rossi",
title = "{GNU} Scientific Library: Reference Manual",
publisher = pub-NETWORK-THEORY,
address = pub-NETWORK-THEORY:adr,
edition = "Second",
pages = "xvi + 601",
year = "2002",
ISBN = "0-9541617-3-4",
ISBN-13 = "978-0-9541617-3-6",
LCCN = "QA76.73.C15",
bibdate = "Wed Oct 30 10:44:22 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/csharp.bib;
https://www.math.utah.edu/pub/tex/bib/gnu.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.ox.ac.uk:210/ADVANCE",
acknowledgement = ack-nhfb,
remark = "Corresponds to version 1.6 of the library.",
subject = "C\# (Computer program language); Handbooks, manuals,
etc; Subroutines (Computer programs); Handbooks,
manuals, etc; C++ (Computer program language);
Handbooks, manuals, etc; Numerical calculations;
Computer programs; Handbooks, manuals, etc",
xxpages = "xvi + 580",
}
@Book{Gentle:2002:ECS,
author = "James E. Gentle",
title = "Elements of Computational Statistics",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiii + 221",
year = "2002",
DOI = "https://doi.org/10.1007/0-387-98542-5",
ISBN = "0-387-98542-5",
ISBN-13 = "978-0-387-98542-8",
LCCN = "QA184 .G45 1998",
bibdate = "Mon Dec 08 11:34:27 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
}
@Book{Gockenbach:2002:PDE,
author = "Mark S. Gockenbach",
title = "Partial differential equations: analytical and
numerical methods",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxii + 614",
year = "2002",
ISBN = "0-89871-518-0",
ISBN-13 = "978-0-89871-518-7",
LCCN = "QA377 .G63 2002",
bibdate = "Wed Nov 16 14:40:09 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Differential equations, Partial",
}
@Book{Golub:2002:IMM,
author = "Gene H. Golub and Lev A. Krukier",
title = "Iterative Methods and Matrix Computations",
publisher = "Rostov State University",
address = "Rostov-on-Don, Russia",
pages = "????",
year = "2002",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Wed May 07 08:25:11 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Lectures of Instructor and Abstracts of Young
Scientists (2--9 June, 2002).",
acknowledgement = ack-nhfb,
}
@Book{Hahn:2002:EMS,
author = "Brian D. Hahn",
title = "Essential {MATLAB} for scientists and engineers",
publisher = "Butterworth-Heinemann",
address = "Oxford, UK",
edition = "Second",
pages = "xvi + 298",
year = "2002",
ISBN = "0-7506-5240-3",
ISBN-13 = "978-0-7506-5240-7",
LCCN = "TA345 .H314 2002",
bibdate = "Wed Dec 21 18:07:16 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.ox.ac.uk:210/ADVANCE",
acknowledgement = ack-nhfb,
remark = "Previous edition \cite{Hahn:1997:EMS}.",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Higham:2002:ASN,
author = "Nicholas J. Higham",
title = "Accuracy and Stability of Numerical Algorithms",
publisher = pub-SIAM,
address = pub-SIAM:adr,
edition = "Second",
pages = "xxx + 680",
year = "2002",
ISBN = "0-89871-521-0",
ISBN-13 = "978-0-89871-521-7",
LCCN = "QA297 .H53 2002",
MRclass = "65G50 (65-02)",
MRnumber = "MR1927606 (2003g:65064)",
bibdate = "Wed Oct 30 14:20:02 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
}
@Book{Karniadakis:2002:PSC,
author = "George Em Karniadakis and Robert M. Kirby",
title = "Parallel Scientific Computing in {C++} and {MPI}: a
Seamless Approach to Parallel Algorithms",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xi + 616",
year = "2002",
ISBN = "0-521-52080-0 (paperback), 0-521-81754-4 (hardcover)",
ISBN-13 = "978-0-521-52080-5 (paperback), 978-0-521-81754-7
(hardcover)",
LCCN = "QA76.58 .K37 2003",
bibdate = "Wed Aug 27 06:43:56 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$50.00 (paperback), US\$130.00 (hardcover)",
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/;
http://www.loc.gov/catdir/description/cam031/2002034805.html;
http://www.loc.gov/catdir/samples/cam033/2002034805.html;
http://www.loc.gov/catdir/toc/cam031/2002034805.html",
acknowledgement = ack-nhfb,
subject = "Parallel processing (Electronic computers); C++
(Computer program language); Data transmission
systems",
}
@Book{Kincaid:2002:NAM,
author = "David (David Ronald) Kincaid and E. W. (Elliott Ward)
Cheney",
title = "Numerical analysis: mathematics of scientific
computing",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
edition = "Third",
pages = "xiv + 788",
year = "2002",
ISBN = "0-534-38905-8",
ISBN-13 = "978-0-534-38905-5",
LCCN = "QA297 .K563 2002",
bibdate = "Thu Sep 25 08:38:38 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Numerical analysis",
tableofcontents = "Mathematical preliminaries \\
Computer arithmetic \\
Solution of nonlinear equations \\
Solving systems of linear equations \\
Selected topics in numerical linear algebra \\
Approximating functions \\
Numerical differentiation and integration \\
Numerical solution of ordinary differential equations
\\
Numerical solution of partial differential equations
\\
Linear programming and related topics \\
Optimization",
}
@Book{LeVeque:2002:FVM,
author = "Randall J. LeVeque",
title = "Finite volume methods for hyperbolic problems",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xix + 558",
year = "2002",
ISBN = "0-521-81087-6, 0-521-00924-3 (paperback)",
ISBN-13 = "978-0-521-81087-6, 978-0-521-00924-9 (paperback)",
LCCN = "QA377 .L41566 2002",
bibdate = "Tue May 27 08:37:53 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Cambridge texts in applied mathematics",
URL = "http://www.loc.gov/catdir/description/cam022/2001052642.html;
http://www.loc.gov/catdir/samples/cam033/2001052642.html;
http://www.loc.gov/catdir/toc/cam024/2001052642.html",
acknowledgement = ack-nhfb,
author-dates = "1955--",
subject = "Differential equations, Hyperbolic; Numerical
solutions; Finite volume method; Conservation laws
(Mathematics)",
}
@Book{Nakamura:2002:NAG,
author = "Shoichiro Nakamura",
title = "Numerical analysis and graphic visualization with
{MATLAB}",
publisher = pub-PHPTR,
address = pub-PHPTR:adr,
edition = "Second",
pages = "xiii + 519",
year = "2002",
ISBN = "0-13-065489-2",
ISBN-13 = "978-0-13-065489-2",
LCCN = "T385 .N34 2002",
bibdate = "Wed May 8 09:21:58 MDT 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
keywords = "computer graphics; Matlab (computer file)",
}
@Book{Pozrikidis:2002:PGB,
author = "C. (Constantine) Pozrikidis",
title = "A practical guide to boundary element methods with the
software library {BEMLIB}",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
pages = "xiii + 423",
year = "2002",
ISBN = "1-58488-323-5",
ISBN-13 = "978-1-58488-323-4",
LCCN = "TA347.B69 P69 2002",
bibdate = "Tue May 27 08:37:52 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0646/2002024166-d.html;
http://www.loc.gov/catdir/toc/fy034/2002024166.html",
acknowledgement = ack-nhfb,
author-dates = "1958--",
subject = "Boundary element methods; Data processing; Computer
programming",
}
@Book{Rao:2002:ANM,
author = "Singiresu S. Rao",
title = "Applied Numerical Methods for Engineers and
Scientists",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xx + 1080",
year = "2002",
ISBN = "0-13-089480-X",
ISBN-13 = "978-0-13-089480-9",
LCCN = "TA345 .R36 2002",
bibdate = "Tue Feb 25 07:20:23 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
keywords = "Maple; MathCAD; Matlab",
}
@Book{Richards:2002:AMM,
author = "Derek Richards",
title = "Advanced mathematical methods with {Maple}",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xv + 862",
year = "2002",
ISBN = "0-521-77010-6, 0-521-77981-2 (paperback)",
ISBN-13 = "978-0-521-77010-1, 978-0-521-77981-4 (paperback)",
LCCN = "QA297 .R495 2002",
MRclass = "34-01 (00-01 34-04 37-01 37-04 68W30)",
MRnumber = "MR1876705 (2002j:34001)",
bibdate = "Sat Apr 27 08:01:40 MDT 2002",
bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
keywords = "Maple (computer file); mathematics and statistics
textbooks; numerical analysis -- data processing",
}
@Book{Sigmon:2002:MP,
author = "Kermit Sigmon and Timothy A. Davis",
title = "{MATLAB} primer",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
edition = "Sixth",
pages = "xii + 163",
year = "2002",
ISBN = "1-58488-294-8 (paperback)",
ISBN-13 = "978-1-58488-294-7 (paperback)",
LCCN = "QA297 .S4787 2002",
bibdate = "Wed Nov 16 14:58:39 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$16.95, UK\pounds 11.99",
acknowledgement = ack-nhfb,
keywords = "Matlab",
remark = "Rev. ed. of: MATLAB primer. 5th ed. c1998.",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Stoer:2002:INA,
author = "Josef Stoer and Roland Bulirsch",
title = "Introduction to numerical analysis",
volume = "12",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Third",
pages = "xv + 744",
year = "2002",
ISBN = "0-387-95452-X",
ISBN-13 = "978-0-387-95452-3",
LCCN = "QA297 .S8213 2002",
bibdate = "Tue May 27 08:37:54 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0817/2002019729-d.html;
http://www.loc.gov/catdir/enhancements/fy0817/2002019729-t.html",
acknowledgement = ack-nhfb,
subject = "Numerical analysis",
}
@Book{Watkins:2002:FMC,
author = "David S. Watkins",
title = "Fundamentals of Matrix Computations",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY-INTERSCIENCE:adr,
edition = "Second",
pages = "xiii + 618",
year = "2002",
ISBN = "0-471-21394-2",
ISBN-13 = "978-0-471-21394-9",
LCCN = "QA188 .W38 2002",
bibdate = "Tue May 27 08:38:01 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Pure and applied mathematics",
URL = "http://www.loc.gov/catdir/bios/wiley044/2002071332.html;
http://www.loc.gov/catdir/description/wiley036/2002071332.html;
http://www.loc.gov/catdir/toc/wiley023/2002071332.html",
acknowledgement = ack-nhfb,
subject = "Matrices",
}
@Book{Yost:2002:BGR,
author = "Jeffrey R. Yost",
title = "A Bibliographic Guide to Resources in Scientific
Computing, 1945--1975",
volume = "15",
publisher = pub-GREENWOOD,
address = pub-GREENWOOD:adr,
pages = "263",
year = "2002",
ISBN = "0-313-31681-3",
ISBN-13 = "978-0-313-31681-4",
LCCN = "Z7405.D37 Y67 2002; Q183.9",
bibdate = "Tue Mar 20 08:05:33 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Bibliographies and indexes in library and information
science, 0742-6879",
URL = "http://www.loc.gov/catdir/toc/fy035/2002069622.html",
acknowledgement = ack-nhfb,
keywords = "Academic Press; Allen Newell; Annals of the History of
Computing; Charles Babbage Institute; Great Britain;
Harvard University New!; International Business
Machines; John Wiley; Kurt Enslein; Massachusetts
Institute of Technology; Medical Symposium; National
Bureau of Standards; National Physical Laboratory; New
York; Nicholas Metropolis; Rand Corporation; Scientific
American; Scientific Computing Symposium; Stanford
University; The Macmillan Company; United States;
University of Illinois; University of Michigan;
University of Minnesota; World War",
remark = "Includes indexes.",
subject = "Science; Data processing; Bibliography",
}
@Book{Chen:2003:CTS,
editor = "Zhangxin Chen and Roland Glowinski and Kaitai Li",
title = "Current trends in scientific computing",
volume = "329",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "x + 372",
year = "2003",
ISBN = "0-8218-3261-1",
ISBN-13 = "978-0-8218-3261-5",
MRclass = "65-06 (35-06)",
MRnumber = "MR2022625 (2004h:65005)",
bibdate = "Sat Apr 1 07:37:32 2006",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Papers from the ICM 2002 Beijing Satellite Conference
on Scientific Computing held at Xi'an Jiaotong
University, Xi'an, August 15--18, 2002",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
keywords = "fast multipole method",
}
@Book{Dahlquist:2003:NM,
author = "Germund Dahlquist and {\AA}ke Bj{\"o}rck",
title = "Numerical methods",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xviii + 573",
year = "2003",
ISBN = "0-486-42807-9 (paperback)",
ISBN-13 = "978-0-486-42807-9 (paperback)",
LCCN = "QA297 .D33 2003",
bibdate = "Fri May 8 14:06:02 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/dover031/2002072867.html;
http://www.loc.gov/catdir/toc/dover031/2002072867.html",
acknowledgement = ack-nhfb,
remark = "Translated from the Swedish by Ned Anderson. An
extended and updated translation of Numeriska metoder,
by {\AA}. Bj{\"o}rck and G. Dahlquist. Originally
published: Englewood Cliffs, NJ: Prentice-Hall, 1974.",
subject = "Numerical analysis; Data processing",
}
@Book{Dubin:2003:NAM,
author = "Daniel Dubin",
title = "Numerical and analytical methods for scientists and
engineers using {Mathematica}",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY-INTERSCIENCE:adr,
pages = "xvi + 633",
year = "2003",
ISBN = "0-471-26610-8 (cloth)",
ISBN-13 = "978-0-471-26610-5 (cloth)",
LCCN = "QC20.6 .D83 2003",
bibdate = "Wed Oct 4 11:03:45 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Includes CD-ROM.",
acknowledgement = ack-nhfb,
keywords = "Mathematica (computer file); mathematical physics --
data processing",
}
@Book{Faires:2003:NM,
author = "J. Douglas Faires and Richard L. Burden",
title = "Numerical methods",
publisher = "Brooks\slash Cole--Thomson Learning",
address = "Pacific Grove, CA, USA",
edition = "Third",
pages = "xii + 622",
year = "2003",
ISBN = "0-534-40761-7",
ISBN-13 = "978-0-534-40761-2",
LCCN = "QA297 .F35 2003",
bibdate = "Thu Nov 17 07:05:41 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90;
sirsi.library.utoronto.ca:2200/UNICORN",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis",
}
@Book{Knabner:2003:NME,
author = "Peter Knabner and Lutz Angermann",
title = "Numerical methods for elliptic and parabolic partial
differential equations",
volume = "44",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xv + 424",
year = "2003",
ISBN = "0-387-95449-X (hardcover)",
ISBN-13 = "978-0-387-95449-3 (hardcover)",
LCCN = "QA377 .K575 2003",
bibdate = "Tue May 27 08:37:35 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0817/2002044522-d.html;
http://www.loc.gov/catdir/enhancements/fy0817/2002044522-t.html",
acknowledgement = ack-nhfb,
subject = "Differential equations, Partial; Numerical solutions",
}
@Book{Komzsik:2003:LME,
author = "Louis Komzsik",
title = "The {Lanczos} method: evolution and application",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xii + 87",
year = "2003",
ISBN = "0-89871-537-7 (paperback)",
ISBN-13 = "978-0-89871-537-8 (paperback)",
LCCN = "QA76.9.M35 .K66 2003",
bibdate = "Wed Jun 8 14:42:43 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90;
z3950.loc.gov:7090/Voyager",
series = "Software, environments, tools",
URL = "http://www.loc.gov/catdir/enhancements/fy0708/2002044643-d.html;
http://www.loc.gov/catdir/enhancements/fy0708/2002044643-t.html",
acknowledgement = ack-nhfb,
subject = "Computer science; Mathematics; Numerical analysis;
Computer algorithms; Eigenvalues",
tableofcontents = "Preface \\
Part I: Evolution \\
Chapter 1: The classical Lanczos method \\
Chapter 2: The Lanczos method in exact arithmetic \\
Chapter 3: The Lanczos method in finite precision \\
Chapter 4: Block real symmetric Lanczos method \\
Chapter 5: Block unsymmetric Lanczos method \\
Part II: Applications \\
Chapter 6: Industrial implementation of the Lanczos
method \\
Chapter 7: Free undamped vibrations \\
Chapter 8: Free damped vibrations \\
Chapter 9: Forced vibration analysis \\
Chapter 10: Linear systems and the Lanczos method \\
Closing Remarks \\
A Brief Biography of Cornelius Lanczos \\
Bibliography \\
Index",
}
@Book{Larsson:2003:PDE,
author = "S. (Stig) Larsson and Vidar Thom{\'e}e",
title = "Partial differential equations with numerical
methods",
volume = "43",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 259",
year = "2003",
ISBN = "3-540-01772-0",
ISBN-13 = "978-3-540-01772-1",
ISSN = "0939-2475",
LCCN = "QA374 .L337 2003",
bibdate = "Tue May 27 08:37:29 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0813/2003050595-d.html",
acknowledgement = ack-nhfb,
author-dates = "1952--",
subject = "Differential equations, Partial; Numerical solutions",
}
@Book{Linz:2003:ENM,
author = "Peter Linz and Richard Wang",
title = "Exploring numerical methods: an introduction to
scientific computing using {MATLAB}",
publisher = "Jones and Bartlett Publishers",
address = "Boston, MA, USA",
pages = "xii + 473",
year = "2003",
ISBN = "0-7637-1499-2",
ISBN-13 = "978-0-7637-1499-4",
LCCN = "QA297 . L54 2003",
bibdate = "Wed Nov 16 14:30:02 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis; Data processing; MATLAB",
}
@Book{Lyshevski:2003:ESC,
author = "Sergey Edward Lyshevski",
title = "Engineering and Scientific Computations Using
{MATLAB}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 227",
year = "2003",
ISBN = "0-471-46200-4",
ISBN-13 = "978-0-471-46200-2",
LCCN = "TA345 .L97 2003",
bibdate = "Wed Nov 16 13:33:28 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$59.95",
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/;
http://www.loc.gov/catdir/bios/wiley045/2003278438.html;
http://www.loc.gov/catdir/description/wiley041/2003278438.html;
http://www.loc.gov/catdir/toc/wiley041/2003278438.html",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Engineering mathematics; Data processing; Science;
Data processing; MATLAB",
}
@Book{Mak:2003:JNC,
author = "Ronald Mak",
title = "{Java} Number Cruncher: The {Java} Programmer's Guide
to Numerical Computing",
publisher = pub-PHPTR,
address = pub-PHPTR:adr,
pages = "xi + 464",
year = "2003",
ISBN = "0-13-046041-9",
ISBN-13 = "978-0-13-046041-7",
LCCN = "QA76.73.J38 M335 2003",
bibdate = "Wed Oct 22 08:39:03 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/java2000.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
annote = "See positive review at
http://crd.lbl.gov/~dhbailey/dhbpapers/dhb-java.pdf",
keywords = "Java (computer program language); numerical analysis
-- data processing",
}
@Book{Plato:2003:CNM,
author = "Robert Plato",
title = "Concise numerical mathematics",
volume = "57",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xiv + 453",
year = "2003",
ISBN = "0-8218-2953-X, 0-8218-3414-2 (softcover)",
ISBN-13 = "978-0-8218-2953-0, 978-0-8218-3414-5 (softcover)",
ISSN = "1065-7339",
LCCN = "QA297 .P56713 2003",
bibdate = "Tue May 27 08:37:38 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Graduate studies in mathematics",
acknowledgement = ack-nhfb,
author-dates = "1962--",
subject = "Numerical analysis",
}
@Book{Quarteroni:2003:SCM,
author = "Alfio Quarteroni and Fausto Saleri",
title = "Scientific computing with {MATLAB}",
volume = "2",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 257",
year = "2003",
ISBN = "3-540-44363-0 (hard cover)",
ISBN-13 = "978-3-540-44363-6 (hard cover)",
ISSN = "1611-0994",
LCCN = "Q183.9 .Q8313 2003",
MRclass = "65-01 (65-04)",
MRnumber = "MR2001609",
bibdate = "Tue May 27 08:37:28 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in Computational Science and Engineering",
URL = "http://www.loc.gov/catdir/enhancements/fy0826/2003054782-d.html",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Science; Data processing; MATLAB",
tableofcontents = "What can't be ignored \\
Nonlinear equations \\
Approximation of functions and data \\
Numerical differentiation and integration \\
Linear systems \\
Eigenvalues and eigenvectors \\
Ordinary differential equations \\
Numerical methods for boundary-value problems \\
Solutions of the exercises.",
}
@Book{Saad:2003:IMS,
author = "Yousef Saad",
title = "Iterative methods for sparse linear systems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
edition = "Second",
pages = "xviii + 528",
year = "2003",
ISBN = "0-89871-534-2 (paperback)",
ISBN-13 = "978-0-89871-534-7 (paperback)",
LCCN = "QA188 .S17 2003",
MRclass = "65-01 (65F10 65F50)",
MRnumber = "1990645 (2004h:65002)",
MRreviewer = "Arnold Reusken",
bibdate = "Tue May 27 08:37:32 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
MathSciNet database; z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0665/2002044644-d.html;
http://www.loc.gov/catdir/enhancements/fy0665/2002044644-t.html",
acknowledgement = ack-nhfb,
subject = "Sparse matrices; Iterative methods (Mathematics);
Differential equations, Partial; Numerical solutions",
}
@Book{Suli:2003:INA,
author = "Endre S{\"u}li and D. F. (David Francis) Mayers",
title = "An Introduction to Numerical Analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "x + 433",
year = "2003",
DOI = "https://doi.org/10.1017/CBO9780511801181",
ISBN = "0-521-81026-4, 0-521-00794-1 (paperback)",
ISBN-13 = "978-0-521-81026-5, 978-0-521-00794-8 (paperback)",
LCCN = "QA297 .S873 2003",
bibdate = "Tue May 27 08:37:27 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/description/cam041/2003273860.html;
http://www.loc.gov/catdir/samples/cam041/2003273860.html;
http://www.loc.gov/catdir/toc/cam041/2003273860.html",
abstract = "Numerical analysis provides the theoretical foundation
for the numerical algorithms we rely on to solve a
multitude of computational problems in science. Based
on a successful course at Oxford University, the
authors cover a wide range of such problems whilst
paying particular attention to the stability, accuracy,
reliability and efficiency of numerical algorithms.
This book is ideal as a text for students in the second
year of a university mathematics course. It combines
practicality regarding applications with
consistently.",
acknowledgement = ack-nhfb,
author-dates = "1956--",
subject = "Numerical analysis",
tableofcontents = "1. Solution of equations by iteration \\
2. Solution of systems of linear equations \\
3. Special matrices \\
4. Simultaneous nonlinear equations \\
5. Eigenvalues and eigenvectors of a symmetric matrix
\\
6. Polynomial interpolation \\
7. Numerical integration \\
I \\
8. Polynomial approximation in the -norm \\
9. Approximation in the 2-norm \\
10. Numerical integration \\
II \\
11. Piecewise polynomial approximation \\
12. Initial Value Problems for ODEs \\
13. Boundary Value Problems for ODEs \\
14. The Finite Element Method \\
Appendix 1. An overview of results from real analysis
\\
Appendix 2. WWW-resources",
}
@Book{Altman:2004:NIS,
author = "Micah Altman and Jeff Gill and Michael McDonald",
title = "Numerical Issues in Statistical Computing for the
Social Scientist",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xv + 323",
year = "2004",
DOI = "https://doi.org/10.1002/0471475769",
ISBN = "0-471-23633-0, 0-471-47574-2 (e-book), 0-471-47576-9
(e-book)",
ISBN-13 = "978-0-471-23633-7, 978-0-471-47574-3 (e-book),
978-0-471-47576-7 (e-book)",
LCCN = "QA276.4 .A398 2004",
bibdate = "Thu Oct 17 17:33:39 MDT 2019",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyage",
abstract = "At last --- a social scientist's guide through the
pitfalls of modern statistical computing. Addressing
the current deficiency in the literature on statistical
methods as they apply to the social and behavioral
sciences, \booktitle{Numerical Issues in Statistical
Computing for the Social Scientist} seeks to provide
readers with a unique practical guidebook to the
numerical methods underlying computerized statistical
calculations specific to these fields. The authors
demonstrate that knowledge of these numerical methods
and how they are used in statistical packages is
essential for making accurate inferences.",
acknowledgement = ack-nhfb,
subject = "Estad{\'i}stica; Inform{\`a}tica; Ci{\`e}ncies
socials; M{\`e}todes estad{\'i}stics",
tableofcontents = "1: Introduction: Consequences of Numerical
Inaccuracy / 1 \\
1.1: Importance of Understanding Computational
Statistics / 1 \\
1.2: Brief History: Duhem to the Twenty-First Century /
3 \\
1.3: Motivating Example: Rare Events Counts Models / 6
\\
2: Sources of Inaccuracy in Statistical Computation /
12 \\
2.1.1: Revealing Example: Computing the Coefficient
Standard Deviation / 12 \\
2.1.2: Some Preliminary Conclusions / 13 \\
2.2: Fundamental Theoretical Concepts / 15 \\
2.2.1: Accuracy and Precision / 15 \\
2.2.2: Problems, Algorithms, and Implementations / 15
\\
2.3: Accuracy and Correct Inference / 18 \\
2.3.1: Brief Digression: Why Statistical Inference Is
Harder in Practice Than It Appears / 20 \\
2.4: Sources of Implementation Errors / 21 \\
2.4.1: Bugs, Errors, and Annoyances / 22 \\
2.4.2: Computer Arithmetic / 23 \\
2.5: Algorithmic Limitations / 29 \\
2.5.1: Randomized Algorithms / 30 \\
2.5.2: Approximation Algorithms for Statistical
Functions / 31 \\
2.5.3: Heuristic Algorithms for Random Number
Generation / 32 \\
2.5.4: Local Search Algorithms / 39 \\
3: Evaluating Statistical Software / 44 \\
3.1.1: Strategies for Evaluating Accuracy / 44 \\
3.1.2: Conditioning / 47 \\
3.2: Benchmarks for Statistical Packages / 48 \\
3.2.1: NIST Statistical Reference Datasets / 49 \\
3.2.2: Benchmarking Nonlinear Problems with StRD / 51
\\
3.2.3: Analyzing StRD Test Results / 53 \\
3.2.4: Empirical Tests of Pseudo-Random Number
Generation / 54 \\
3.2.5: Tests of Distribution Functions / 58 \\
3.2.6: Testing the Accuracy of Data Input and Output /
60 \\
3.3: General Features Supporting Accurate and
Reproducible Results / 63 \\
3.4: Comparison of Some Popular Statistical Packages /
64 \\
3.5: Reproduction of Research / 65 \\
3.6: Choosing a Statistical Package / 69 \\
4: Robust Inference / 71 \\
4.3: Sensitivity Tests / 73 \\
4.3.1: Sensitivity to Alternative Implementations and
Algorithms / 73 \\
4.3.2: Perturbation Tests / 75 \\
4.3.3: Tests of Global Optimality / 84 \\
4.4: Obtaining More Accurate Results / 91 \\
4.4.1: High-Precision Mathematical Libraries / 92 \\
4.4.2: Increasing the Precision of Intermediate
Calculations / 93 \\
4.4.3: Selecting Optimization Methods / 95 \\
4.5: Inference for Computationally Difficult Problems /
103 \\
4.5.1: Obtaining Confidence Intervals with Ill-Behaved
Functions / 104 \\
4.5.2: Interpreting Results in the Presence of Multiple
Modes / 106 \\
4.5.3: Inference in the Presence of Instability / 114
\\
5: Numerical Issues in Markov Chain Monte Carlo
Estimation / 118 \\
5.2: Background and History / 119 \\
5.3: Essential Markov Chain Theory / 120 \\
5.3.1: Measure and Probability Preliminaries / 120 \\
5.3.2: Markov Chain Properties / 121 \\
5.3.3: The Final Word (Sort of) / 125 \\
5.4: Mechanics of Common MCMC Algorithms / 126 \\
5.4.1: Metropolis--Hastings Algorithm / 126 \\
5.4.2: Hit-and-Run Algorithm / 127 \\
5.4.3: Gibbs Sampler / 128 \\
5.5: Role of Random Number Generation / 129 \\
5.5.1: Periodicity of Generators and MCMC Effects / 130
\\
5.5.2: Periodicity and Convergence / 132 \\
5.5.3: Example: The Slice Sampler / 135 \\
5.5.4: Evaluating WinBUGS / 137 \\
5.6: Absorbing State Problem / 139 \\
5.7: Regular Monte Carlo Simulation / 140 \\
5.8: So What Can Be Done? / 141 \\
6: Numerical Issues Involved in Inverting Hessian
Matrices / Jeff Gill, Gary King / 143 \\
6.2: Means versus Modes / 145 \\
6.3: Developing a Solution Using Bayesian Simulation
Tools / 147 \\
6.4: What Is It That Bayesians Do? / 148 \\
6.5: Problem in Detail: Noninvertible Hessians / 149
\\
6.6: Generalized Inverse/Generalized Cholesky Solution
/ 151 \\
6.7: Generalized Inverse / 151 \\
6.7.1: Numerical Examples of the Generalized Inverse /
154 \\
6.8: Generalized Cholesky Decomposition / 155 \\
6.8.1: Standard Algorithm / 156 \\
6.8.2: Gill--Murray Cholesky Factorization / 156 \\
6.8.3: Schnabel--Eskow Cholesky Factorization / 158 \\
6.8.4: Numerical Examples of the Generalized Cholesky
Decomposition / 158 \\
6.9: Importance Sampling and Sampling Importance
Resampling / 160 \\
6.9.1: Algorithm Details / 160 \\
6.9.2: SIR Output / 162 \\
6.9.3: Relevance to the Generalized Process / 163 \\
6.10: Public Policy Analysis Example / 163 \\
6.10.1: Texas / 164 \\
6.10.2: Florida / 168 \\
6.11: Alternative Methods / 171 \\
6.11.1: Drawing from the Singular Normal / 171 \\
6.11.2: Aliasing / 173 \\
6.11.3: Ridge Regression / 173 \\
6.11.4: Derivative Approach / 174 \\
6.11.5: Bootstrapping / 174 \\
6.11.6: Respecification (Redux) / 175 \\
7: Numerical Behavior of King's EI Method / 177 \\
7.2: Ecological Inference Problem and Proposed
Solutions / 179 \\
7.3: Numeric Accuracy in Ecological Inference / 180 \\
7.3.1: Case Study 1: Examples from King (1997) / 182
\\
7.3.2: Nonlinear Optimization / 186 \\
7.3.3: Pseudo-Random Number Generation / 187 \\
7.3.4: Platform and Version Sensitivity / 188 \\
7.4: Case Study 2: Burden and Kimball (1998) / 189 \\
7.4.1: Data Perturbation / 191 \\
7.4.2: Option Dependence / 194 \\
7.4.3: Platform Dependence / 195 \\
7.4.4: Discussion: Summarizing Uncertainty / 196 \\
8: Some Details of Nonlinear Estimation / B.D.
McCullough / 199 \\
8.2: Overview of Algorithms / 200 \\
8.3: Some Numerical Details / 204 \\
8.4: What Can Go Wrong? / 206 \\
8.5: Four Steps / 210 \\
8.5.1 Step 1: Examine the Gradient / 211 \\
8.5.2 Step 2: Inspect the Trace / 211 \\
8.5.3 Step 3: Analyze the Hessian / 212 \\
8.5.4 Step 4: Profile the Objective Function / 212 \\
8.6: Wald versus Likelihood Inference / 215 \\
9: Spatial Regression Models / James P. LeSage / 219
\\
9.2: Sample Data Associated with Map Locations / 219
\\
9.2.1: Spatial Dependence / 219 \\
9.2.2: Specifying Dependence Using Weight Matrices /
220 \\
9.2.3: Estimation Consequences of Spatial Dependence /
222 \\
9.3: Maximum Likelihood Estimation of Spatial Models /
223 \\
9.3.1: Sparse Matrix Algorithms / 224 \\
9.3.2: Vectorization of the Optimization Problem / 225
\\
9.3.3: Trade-offs between Speed and Numerical Accuracy
/ 226 \\
9.3.4: Applied Illustrations / 228 \\
9.4: Bayesian Spatial Regression Models / 229 \\
9.4.1: Bayesian Heteroscedastic Spatial Models / 230
\\
9.4.2: Estimation of Bayesian Spatial Models / 231 \\
9.4.3: Conditional Distributions for the SAR Model /
232 \\
9.4.4: MCMC Sampler / 234 \\
9.4.5: Illustration of the Bayesian Model / 234 \\
10: Convergence Problems in Logistic Regression / Paul
Allison / 238 \\
10.2: Overview of Logistic Maximum Likelihood
Estimation / 238 \\
10.3: What Can Go Wrong? / 240 \\
10.4: Behavior of the Newton--Raphson Algorithm under
Separation / 243 \\
10.4.1: Specific Implementations / 244 \\
10.4.2: Warning Messages / 244 \\
10.4.3: False Convergence / 246 \\
10.4.4: Reporting of Parameter Estimates and Standard
Errors / 247 \\
10.4.5: Likelihood Ratio Statistics / 247 \\
10.5: Diagnosis of Separation Problems / 247 \\
10.6: Solutions for Quasi-Complete Separation / 248 \\
10.6.1: Deletion of Problem Variables / 248 \\
10.6.2: Combining Categories / 248 \\
10.6.3: Do Nothing and Report Likelihood Ratio
Chi-Squares / 249 \\
10.6.4: Exact Inference / 249 \\
10.6.5: Bayesian Estimation / 250 \\
10.6.6: Penalized Maximum Likelihood Estimation / 250
\\
10.7: Solutions for Complete Separation / 251 \\
10.8: Extensions / 252 \\
11: Recommendations for Replication and Accurate
Analysis / 253 \\
11.1: General Recommendations for Replication / 253 \\
11.1.1: Reproduction, Replication, and Verification /
254 \\
11.1.2: Recreating Data / 255 \\
11.1.3: Inputting Data / 256 \\
11.1.4: Analyzing Data / 257 \\
11.2: Recommendations for Producing Verifiable Results
/ 259 \\
11.3: General Recommendations for Improving the Numeric
Accuracy of Analysis / 260 \\
11.4: Recommendations for Particular Statistical Models
/ 261 \\
11.4.1: Nonlinear Least Squares and Maximum Likelihood
/ 261 \\
11.4.2: Robust Hessian Inversion / 262 \\
11.4.3: MCMC Estimation / 263 \\
11.4.4: Logistic Regression / 265 \\
11.4.5: Spatial Regression / 266 \\
Where Do We Go from Here? / 266 \\
Bibliography / 267 \\
Author Index / 303 \\
Subject Index / 315",
}
@Book{Atkinson:2004:ENA,
author = "Kendall E. Atkinson and Weimin Han",
title = "Elementary numerical analysis",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Third",
pages = "xvi + 560",
year = "2004",
ISBN = "0-471-43337-3",
ISBN-13 = "978-0-471-43337-8",
LCCN = "QA297 .A83 2004",
bibdate = "Wed Nov 16 13:21:51 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/;
http://www.loc.gov/catdir/toc/wiley032/2003053836.html",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis",
}
@Book{Bisseling:2004:PSC,
author = "Rob H. Bisseling",
title = "Parallel scientific computation: a structured approach
using {BSP} and {MPI}",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xviii + 305",
year = "2004",
ISBN = "0-19-852939-2",
ISBN-13 = "978-0-19-852939-2",
LCCN = "QA76.58 .B57 2004",
bibdate = "Tue May 27 08:41:04 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0617/2004046141-d.html;
http://www.loc.gov/catdir/enhancements/fy0617/2004046141-t.html",
acknowledgement = ack-nhfb,
subject = "Parallel processing (Electronic computers); Scientific
applications; Supercomputers; Parallel computers",
}
@Book{Bornemann:2004:SDC,
author = "Folkmar Bornemann and Dirk Laurie and Stan Wagon and
J{\"o}rg Waldvogel",
title = "The {SIAM} 100-digit challenge: a study in
high-accuracy numerical computing",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 306",
year = "2004",
ISBN = "0-89871-561-X (paperback)",
ISBN-13 = "978-0-89871-561-3 (paperback)",
LCCN = "QA297 .S4782 2004",
bibdate = "Fri Nov 16 08:52:41 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0708/2004049139-d.html;
http://www.loc.gov/catdir/enhancements/fy0708/2004049139-t.html",
abstract = "This book takes readers on a thrilling tour of some of
the most important and powerful areas of contemporary
numerical mathematics. The tour is organized along the
10 problems of the SIAM 100-Digit Challenge, a contest
posed by Nick Trefethen of Oxford University in the
January/February 2002 issue of SIAM News. The complete
story of the contest as well as a lively interview with
Nick Trefethen are also included. The authors, members
of teams that solved all 10 problems, show in detail
multiple approaches for solving each problem, ranging
from elementary to sophisticated, from brute-force to
schemes that can be scaled to provide thousands of
digits of accuracy and that can solve even larger
related problems. The authors touch on virtually every
major technique of modern numerical analysis: matrix
computation, iterative linear methods, limit
extrapolation and convergence acceleration, numerical
quadrature, contour integration, discretization of
PDEs, global optimization, Monte Carlo and evolutionary
algorithms, error control, interval and high-precision
arithmetic, and many more. Includes bibliographical
references (p. 287-299) and index.",
acknowledgement = ack-nhfb,
subject = "Numerical analysis",
tableofcontents = "Foreword \\
Preface \\
The Story \\
Chapter 1: A Twisted Tail \\
Chapter 2: Reliability amid Chaos \\
Chapter 3: How Far Away Is Infinity? \\
Chapter 4: Think Globally, Act Locally \\
Chapter 5: A Complex Optimization \\
Chapter 6: Biasing for a Fair Return \\
Chapter 7: Too Large to Be Easy, Too Small to Be Hard
\\
Chapter 8: In the Moment of Heat \\
Chapter 9: Gradus ad Parnassum \\
Chapter 10: Hitting the Ends \\
Appendix A: Convergence Acceleration \\
Appendix B: Extreme Digit-Hunting \\
Appendix C: Code \\
Appendix D: More Problems \\
References \\
Index",
}
@Book{Datta:2004:NML,
author = "Biswa Nath Datta",
title = "Numerical methods for linear control systems: design
and analysis",
publisher = pub-ELSEVIER-ACADEMIC,
address = pub-ELSEVIER-ACADEMIC:adr,
pages = "xxxviii + 695",
year = "2004",
ISBN = "0-12-203590-9",
ISBN-13 = "978-0-12-203590-6",
LCCN = "QA402.3 .D368 2004",
bibdate = "Wed Nov 16 10:04:49 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/;
http://www.loc.gov/catdir/description/els041/2003058331.html;
http://www.loc.gov/catdir/toc/els041/2003058331.html",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Control theory; System analysis; Linear control
systems",
}
@Book{Etter:2004:IM,
author = "Delores M. Etter and Holly Moore and David C.
Kuncicky",
title = "Introduction to {MATLAB 7}",
publisher = pub-PEARSON-PH,
address = pub-PEARSON-PH:adr,
pages = "xix + 283",
year = "2004",
ISBN = "0-13-147492-8",
ISBN-13 = "978-0-13-147492-5",
LCCN = "????",
bibdate = "Thu Nov 17 10:12:16 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.libris.kb.se:210/libr",
series = "ESource--the Prentice Hall engineering source",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis; Data processing; MATLAB;
Engineering mathematics",
}
@Book{Gander:2004:SPS,
author = "Walter Gander and Ji{\v{r}}{\'\i}
H{\v{r}}eb{\'\i}{\v{c}}ek",
title = "Solving problems in scientific computing using {Maple}
and {MATLAB}",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Fourth",
pages = "xxii + 476",
year = "2004",
ISBN = "3-540-21127-6",
ISBN-13 = "978-3-540-21127-3",
LCCN = "Q183.9 .G36 2004 UCD",
bibdate = "Wed Oct 4 19:21:54 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Maple (computer file); Matlab; science -- data
processing",
subject = "Maple (Computer file); MATLAB; Science; Data
processing",
}
@Book{Gerald:2004:ANA,
author = "Curtis F. Gerald and Patrick O. Wheatley",
title = "Applied numerical analysis",
publisher = "Pearson\slash Addison-Wesley",
address = "Boston, MA, USA",
edition = "Seventh",
pages = "x + 609",
year = "2004",
ISBN = "0-321-13304-8",
ISBN-13 = "978-0-321-13304-5",
LCCN = "QA297 .G47 2004",
bibdate = "Wed Nov 16 12:04:05 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis",
}
@Book{Gilat:2004:MIA,
author = "Amos Gilat",
title = "{MATLAB}: an introduction with applications",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "viii + 296",
year = "2004",
ISBN = "0-471-43997-5 (paperback)",
ISBN-13 = "978-0-471-43997-4 (paperback)",
LCCN = "QA297 .G48 2004 UCR",
bibdate = "Thu Oct 5 05:32:39 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "MATLAB; numerical analysis -- data processing",
}
@Book{Iserles:2004:AN,
editor = "A. Iserles",
title = "Acta numerica",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "431",
year = "2004",
ISBN = "0-521-83811-8",
ISBN-13 = "978-0-521-83811-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "????",
bibdate = "Mon Nov 24 14:50:10 MST 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.ox.ac.uk:210/ADVANCE",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Periodicals",
xxISBN = "0-521-41026-6 (1992), 0-521-44356-3 (1993),
0-521-46181-2 (1994), 0-521-48255-0 (1995),
0-521-57234-7 (v. 5), 0-521-59106-6 (v. 6),
0-521-64316-3 (v. 7), 0-521-77088-2 (v. 8),
0-521-78037-3 (v. 9), 0-521-80312-8 (v. 10),
0-521-81876-1 (v. 11), 0-521-82523-7 (v. 12),
0-521-83811-8 (v. 13), 0-521-85807-0 (v. 14),
0-521-86815-7 (v. 15)",
}
@Book{Kaplan:2004:ISC,
author = "Daniel Kaplan",
title = "An introduction to scientific computation and
programming",
publisher = "Brooks/Cole--Thomson Learning",
address = "Belmont, CA",
pages = "xiii + 546",
year = "2004",
ISBN = "0-534-38913-9",
ISBN-13 = "978-0-534-38913-0",
LCCN = "QA76.6 .K37 2004",
bibdate = "Thu Nov 17 07:05:38 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Computer programming; MATLAB; Numerical analysis; Data
processing; Computer graphics",
}
@Book{Kuncicky:2004:MP,
author = "David C. Kuncicky",
title = "{Matlab} programming",
publisher = pub-PEARSON-EDUCATION,
address = pub-PEARSON-EDUCATION:adr,
pages = "xviii + 267",
year = "2004",
ISBN = "0-13-035127-X",
ISBN-13 = "978-0-13-035127-2",
LCCN = "QA297 .K768 2004",
bibdate = "Wed Nov 16 10:16:49 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "ESource--the Prentice Hall engineering source",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Leader:2004:NAS,
author = "Jeffery J. Leader",
title = "Numerical analysis and scientific computation",
publisher = "Pearson\slash Addison Wesley",
address = "Boston, MA, USA",
pages = "xiii + 590",
year = "2004",
ISBN = "0-201-73499-0",
ISBN-13 = "978-0-201-73499-7",
LCCN = "QA297 .L384 2004",
bibdate = "Wed Nov 16 11:48:24 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis",
}
@Book{Liu:2004:MMP,
author = "Lianshou Liu",
title = "Methods of mathematical physics",
publisher = "Rinton Press",
address = "Princeton, NJ, USA",
pages = "xiii + 404",
year = "2004",
ISBN = "1-58949-045-2",
ISBN-13 = "978-1-58949-045-1",
LCCN = "????",
bibdate = "Wed May 11 13:57:59 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
}
@Book{Mathews:2004:NMU,
author = "John H. Mathews and Kurtis D. Fink",
title = "Numerical methods using {MATLAB}",
publisher = "Pearson",
address = "Upper Saddle River, NJ, USA",
edition = "Fourth",
pages = "ix + 680",
year = "2004",
ISBN = "0-13-065248-2",
ISBN-13 = "978-0-13-065248-5",
LCCN = "QA297 .M39 2004",
bibdate = "Wed Nov 16 10:29:36 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis; Data processing; MATLAB",
}
@Book{Moler:2004:NCM,
author = "Cleve B. Moler",
title = "Numerical computing with {MATLAB}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 336",
year = "2004",
ISBN = "0-89871-560-1 (paperback)",
ISBN-13 = "978-0-89871-560-6 (paperback)",
LCCN = "QA297 .M625 2004",
MRclass = "65-01 (65-04)",
MRnumber = "MR2065657",
bibdate = "Wed Nov 16 14:40:17 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$42.50",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Data processing; MATLAB; Numerical analysis",
}
@Book{Steeb:2004:PSS,
author = "W.-H. Steeb and Yorick Hardy and Alexandre Hardy
and Ruedi Stoop",
title = "Problems and solutions in scientific computing: with
{C++} and {Java} simulations",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "ix + 420",
year = "2004",
ISBN = "981-256-112-9, 981-256-125-0 (paperback)",
ISBN-13 = "978-981-256-112-1, 978-981-256-125-1 (paperback)",
LCCN = "QA297 .P743 2004",
bibdate = "Tue May 27 08:40:36 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/java2000.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Computer programs; Problems,
exercises, etc.; Science; Mathematics",
}
@Book{Stetter:2004:NPA,
author = "Hans J. Stetter",
title = "Numerical polynomial algebra",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xv + 472",
year = "2004",
ISBN = "0-89871-557-1 (paperback)",
ISBN-13 = "978-0-89871-557-6 (paperback)",
LCCN = "QA161.P59 S74 2004",
bibdate = "Fri Nov 16 09:47:40 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0665/2004041691-d.html;
http://www.loc.gov/catdir/enhancements/fy0665/2004041691-t.html",
acknowledgement = ack-nhfb,
subject = "Polynomials; Numerical analysis",
}
@Book{Varga:2004:GHC,
author = "Richard S. Varga",
title = "{Ger{\v{s}}gorin} and His Circles",
volume = "36",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 226",
year = "2004",
DOI = "https://doi.org/10.1007/978-3-642-17798-9",
ISBN = "3-540-21100-4 (hardcover), 3-642-17798-0 (e-book)",
ISBN-13 = "978-3-540-21100-6 (hardcover), 978-3-642-17798-9
(e-book)",
ISSN = "0179-3632",
ISSN-L = "0179-3632",
LCCN = "QA193 .V37 2004",
MRclass = "15-02 (15-03 15A18 15A42 65-02 65-03 65F15)",
MRnumber = "2093409 (2005h:15002)",
MRreviewer = "David Scott Watkins",
bibdate = "Sun Mar 25 09:35:13 MDT 2018",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer Series in Computational Mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0815/2004104814-d.html",
abstract = "This book studies the original results, and their
extensions, of the Russian mathematician, S. A.
Ger{\v{s}}gorin, who wrote a seminal paper in 1931, on
how to easily obtain estimates of all $n$ eigenvalues
(characteristic values) of any given $n$-by-$n$ complex
matrix. Since the publication of this paper, there has
been many newer results spawned by his paper, and this
book will be the first which is devoted solely to this
resulting area. As such, it will include the latest
research results, such as Brauer ovals of Cassini and
Brualdi lemniscates, and their comparisons. This book
is dedicated to the late Olga Taussky-Todd and her
husband, John Todd. It was Olga who brought to light
Ger{\v{s}}gorin's paper and its significance to the
mathematical world. The level of this book requires
only a modest background in linear algebra and
analysis, and is therefore comprehensible to
upper-level and graduate level students in
mathematics.",
acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
shorttableofcontents = "I. Preface / vii \\
1. Basic theory / 1 \\
2. Ger{\v{s}}gorian-type eigenvalue inclusion theorems
/ 35 \\
3. More eigenvalue inclusion results / 73 \\
4. Minimal Ger{\v{s}}gorian sets and their sharpness /
97 \\
5. G-functions / 127 \\
6. Ger{\v{s}}gorian-type theorems for partitioned
matrices / 155 \\
Appendices: / \\
A. Ger{\v{s}}gorin's paper from 1931, and comments /
189 \\
B. Vector norms and induced operator norms / 199 \\
C. The Perron--Frobenius theory of nonnegative matrices
/ 201 \\
D. Matlab 6 programs / 205 \\
References / 217",
subject = "Ger{\v{s}}gorin, Semen Aronovich; Algebras, Linear;
Eigenvalues; Valeurs propres; Alg{\`e}bre lin{\'e}aire;
Eigenvalues; Algebras, Linear; Komplexe Matrix;
Matrizen-Eigenwertaufgabe",
subject-dates = "Semen Aronovich Ger{\v{s}}gorin (1901--1933)",
tableofcontents = "I. Preface / vii \\
1. Basic Theory / 1 \\
1.1 Ger{\v{s}}gorin's Theorem / 1 \\
1.2 Extensions of Ger{\v{s}}gorin's Theorem via Graph
Theory / 10 \\
1.3 Analysis Extensions of Ger{\v{s}}gorin's Theorem
and Fan's Theorem / 18 \\
1.4 A Norm Derivation of Ger{\v{s}}gorin's Theorem 1.1
/ 26 \\
2. Ger{\v{s}}gorin-Type Eigenvalue Inclusion Theorems /
35 \\
2.1 Brauer's Ovals of Cassini / 35 \\
2.2 Higher-Order Lemniscates / 43 \\
2.3 Comparison of the Brauer Sets and the Brualdi Sets
/ 53 \\
2.4 The Sharpness of Brualdi Lemniscate Sets / 58 \\
2.5 An Example / 67 \\
3. More Eigenvalue Inclusion Results / 73 \\
3.1 The Parodi--Schneider Eigenvalue Inclusion Sets /
73 \\
3.2 The Field of Values of a Matrix / 79 \\
3.3 Newer Eigenvalue Inclusion Sets / 84 \\
3.4 The Pupkov--Solov'ev Eigenvalue Inclusions Set / 92
\\
4. Minimal Ger{\v{s}}gorin Sets and Their Sharpness /
97 \\
4.1 Minimal Ger{\v{s}}gorin Sets / 97 \\
4.2 Minimal Ger{\v{s}}gorin Sets via Permutations / 110
\\
4.3 A Comparison of Minimal Ger{\v{s}}gorin Sets and
Brualdi Sets / 121 \\
5. $G$-Functions / 127 \\
5.1 The Sets ${\cal F}_n$ and ${\cal G}_n$ / 127 \\
5.2 Structural Properties of ${\cal G}_n$ and ${\cal
G}_n^c$ / 133 \\
5.3 Minimal $G$-Functions / 141 \\
5.4 Minimal $G$-Functions with Small Domains of
Dependence / 145 \\
5.5 Connections with Brauer Sets and Generalized
Brualdi Sets / 149 \\
6. Ger{\v{s}}gorin-Type Theorems for Partitioned
Matrices / 155 \\
6.1 Partitioned Matrices and Block Diagonal Dominance /
155 \\
6.2 A Different Norm Approach / 164 \\
6.3 A Variation on a Theme by Brualdi / 174 \\
6.4 $G$-Functions in the Partitioned Case / 181 \\
Appendix A. Ger{\v{s}}gorin's Paper from 1931, and
Comments / 189 \\
Appendix B. Vector Norms and Induced Operator Norms /
199 \\
Appendix C. The Perron--Frobenius Theory of Nonnegative
Matrices / 201 \\
Appendix D. Matlab 6 Programs / 205 \\
References / 217",
}
@Book{White:2004:CMM,
author = "R. E. (Robert E.) White",
title = "Computational Mathematics: Models, Methods, and
Analysis with {MATLAB} and {MPI}",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
pages = "xvi + 385",
year = "2004",
ISBN = "1-58488-364-2",
ISBN-13 = "978-1-58488-364-7",
LCCN = "QA297 .W495 2004",
bibdate = "Tue May 27 08:41:08 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0646/2003055207-d.html",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis; Data processing; MATLAB; Computer
interfaces; Parallel programming (Computer science)",
}
@Book{Zarowski:2004:INA,
author = "Christopher J. Zarowski",
title = "An introduction to numerical analysis for electrical
and computer engineers",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xvi + 586",
year = "2004",
ISBN = "0-471-46737-5",
ISBN-13 = "978-0-471-46737-3",
LCCN = "TK153 .Z37 2004",
bibdate = "Tue May 27 08:41:06 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/bios/wiley046/2003063761.html;
http://www.loc.gov/catdir/description/wiley041/2003063761.html;
http://www.loc.gov/catdir/toc/wiley041/2003063761.html",
acknowledgement = ack-nhfb,
subject = "Electrical engineering; Mathematics; Computer science;
Numerical analysis",
}
@Book{Chu:2005:IEP,
author = "Moody T. Chu and Gene H. Golub",
title = "Inverse Eigenvalue Problems: Theory, Algorithms, and
Applications",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xvii + 387",
year = "2005",
DOI = "https://doi.org/10.1093/acprof:oso/9780198566649.001.0001",
ISBN = "0-19-856664-6 (hardcover), 0-19-152422-0 (e-book),
0-19-171802-5",
ISBN-13 = "978-0-19-856664-9 (hardcover), 978-0-19-152422-6
(e-book), 978-0-19-171802-1",
LCCN = "QA193 .C48 2005",
MRclass = "65-02 (65F18)",
MRnumber = "MR2263317 (2007i:65001)",
MRreviewer = "Heike Fa{\ss}bender",
bibdate = "Sat Apr 07 10:19:58 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Numerical Mathematics and Scientific Computation",
acknowledgement = ack-nhfb,
author-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007)",
shorttableofcontents = "List of Acronyms / xiv \\
List of Figures / xv \\
List of Tables / xvii \\
1: Introduction / 1 \\
2: Applications / 10 \\
3: Parameterized inverse eigenvalue problems / 29 \\
4: Structured inverse eigenvalue problems / 71 \\
5: Partially described inverse eigenvalue problems /
146 \\
6: Least squares inverse eigenvalue problems / 192 \\
7: Spectrally constrained approximation / 212 \\
8: Structured low rank approximation / 246 \\
9: Group orbitally constrained approximation / 339 \\
References / 359 \\
Index / 381",
tableofcontents = "List of Acronyms / xiv \\
List of Figures / xv \\
List of Tables / xvii \\
1: Introduction / 1 \\
1.1 Direct problem / 2 \\
1.2 Inverse problem / 4 \\
1.2.1 Constraints / 4 \\
1.2.2 Fundamental issues / 5 \\
1.3 Nomenclature / 6 \\
1.4 Summary / 9 \\
2: Applications / 10 \\
2.1 Overview / 10 \\
2.2 Pole assignment problem / 11 \\
2.2.1 State feedback control / 11 \\
2.2.2 Output feedback control / 12 \\
2.3 Applied mechanics / 13 \\
2.3.1 A string with beads / 13 \\
2.3.2 Quadratic eigenvalue problem / 15 \\
2.3.3 Engineering applications / 17 \\
2.4 Inverse Sturm--Liouville problem / 18 \\
2.5 Applied physics / 19 \\
2.5.1 Quantum mechanics / 19 \\
2.5.2 Neuron transport theory / 20 \\
2.6 Numerical analysis / 21 \\
2.6.1 Preconditioning / 21 \\
2.6.2 Numerical ODEs / 22 \\
2.6.3 Quadrature rules / 23 \\
2.7 Signal and data processing / 25 \\
2.7.1 Signal processing / 25 \\
2.7.2 Computer algebra / 25 \\
2.7.3 Molecular structure modelling / 27 \\
2.7.4 Principal component analysis, data mining and
others / 27 \\
2.8 Summary / 28 \\
3: Parameterized inverse eigenvalue problems / 29 \\
3.1 Overview / 29 \\
3.1.1 Generic form / 30 \\
3.1.2 Variations / 31 \\
3.2 General results for linear PIEP / 34 \\
3.2.1 Existence theory / 34 \\
3.2.2 Sensitivity analysis / 39 \\
3.2.3 Ideas of computation / 45 \\
3.2.4 Newton's method (for LiPIEP2) / 47 \\
3.2.5 Projected gradient method (for LiPIEP2) / 52 \\
3.3 Additive inverse eigenvalue problems / 54 \\
3.3.1 Solvability / 56 \\
3.3.2 Sensitivity and stability (for AIEP2) / 59 \\
3.3.3 Numerical methods / 60 \\
3.4 Multiplicative inverse eigenvalue problems / 63 \\
3.4.1 Solvability / 65 \\
3.4.2 Sensitivity (for MIEP2) / 67 \\
3.4.3 Numerical methods / 68 \\
3.5 Summary / 70 \\
4: Structured inverse eigenvalue problems / 71 \\
4.1 Overview / 71 \\
4.2 Jacobi inverse eigenvalue problems / 72 \\
4.2.1 Variations / 73 \\
4.2.2 Physical interpretations / 77 \\
4.2.3 Existence theory / 79 \\
4.2.4 Sensitivity issues / 81 \\
4.2.5 Numerical methods / 82 \\
4.3 Toeplitz inverse eigenvalue problems / 85 \\
4.3.1 Symmetry and parity / 87 \\
4.3.2 Existence / 89 \\
4.3.3 Numerical methods / 89 \\
4.4 Nonnegative inverse eigenvalue problems / 93 \\
4.4.1 Some existence results / 94 \\
4.4.2 Symmetric nonnegative inverse eigenvalue problem
/ 95 \\
4.4.3 Minimum realizable spectral radius / 97 \\
4.5 Stochastic inverse eigenvalue problems / 103 \\
4.5.1 Existence / 104 \\
4.5.2 Numerical method / 106 \\
4.6 Unitary Hessenberg inverse eigenvalue problems /
110 \\
4.7 Inverse eigenvalue problems with prescribed entries
/ 112 \\
4.7.1 Prescribed entries along the diagonal / 112 \\
4.7.2 Prescribed entries at arbitrary locations / 116
\\
4.7 .3 Additive inverse eigenvalue problem revisit /
117 \\
4.7.4 Cardinality and locations / 118 \\
4.7.5 Numerical methods / 119 \\
4.8 Inverse singular value problems / 128 \\
4.8.1 Distinct singular values / 129 \\
4.8.2 Multiple singular values / 132 \\
4.8.3 Rank deficiency / 134 \\
4.9 Inverse singular/ eigenvalue problems / 134 \\
4.9.1 The 2 x 2 building block / 136 \\
4.9.2 Divide and conquer / 136 \\
4.9.3 A symbolic example / 141 \\
4.9.4 A numerical example / 142 \\
4.10 Equality constrained inverse eigenvalue problems /
144 \\
4.10.1 Existence and equivalence to PAPs / 144 \\
4.11 Summary / 145 \\
5: Partially described inverse eigenvalue problems /
146 \\
5.1 Overview / 146 \\
5.2 PDIEP for Toeplitz matrices / 147 \\
5.2.1 An example / 149 \\
5.2.2 General consideration / 150 \\
5.3 PDIEP for quadratic pencils / 160 \\
5.3.1 Recipe of construction / 164 \\
5.3.2 Eigenstructure of Q(A) / 167 \\
5.3.3 Numerical experiment / 173 \\
5.4 Monic quadratic inverse eigenvalue problem / 178
\\
5.4.1 Real linearly dependent eigenvectors / 179 \\
5.4.2 Complex linearly dependent eigenvectors / 181 \\
5.4.3 Numerical examples / 185 \\
5.5 Summary / 189 \\
6: Least squares inverse eigenvalue problems / 192 \\
6.1 Overview / 192 \\
6.2 An example of MIEP / 193 \\
6.3 Least Squares LiPIEP2 / 194 \\
6.3.1 Formulation / 195 \\
6.3.2 Equivalence / 197 \\
6.3.3 Lift and projection / 199 \\
6.3.4 The Newton method / 201 \\
6.3.5 Numerical experiment / 203 \\
6.4 Least squares PDIEP / 209 \\
6.5 Summary / 211 \\
7: Spectrally constrained approximation / 212 \\
7.1 Overview / 212 \\
7.1.1 Spectral constraint / 212 \\
7.1.2 Singular value constraint / 215 \\
7.1.3 Constrained optimization / 216 \\
7.2 Central framework / 217 \\
7.2.1 Projected gradient / 219 \\
7.2.2 Projected Hessian / 220 \\
7.3 Applications / 220 \\
7.3.1 Approximation with fixed spectrum / 221 \\
7.3.2 Toeplitz inverse eigenvalue problem revisit / 223
\\
7.3.3 Jacobi-type eigenvalue computation / 225 \\
7.4 Extensions / 226 \\
7.4.1 Approximation with fixed singular values / 226
\\
7.4.2 Jacobi-type singular value computation / 229 \\
7.5 Simultaneous reduction / 229 \\
7.5.1 Background review / 230 \\
7.5.2 Orthogonal similarity transformation / 234 \\
7.5.3 A nearest commuting pair problem / 238 \\
7.5.4 Orthogonal equivalence transformation / 239 \\
7.6 Closest normal matrix problem / 241 \\
7.6.1 First-order optimality condition / 242 \\
7.6.2 Second-order optimality condition / 243 \\
7.6.3 Numerical methods / 244 \\
7.7 Summary / 245 \\
8: Structured low rank approximation / 246 \\
8.1 Overview / 246 \\
8.2 Low rank Toeplitz approximation / 248 \\
8.2.1 Theoretical considerations / 248 \\
8.2.2 Tracking structured low rank matrices / 254 \\
8.2.3 Numerical methods / 257 \\
8.2.4 Summary / 263 \\
8.3 Low rank circulant approximation / 264 \\
8.3.1 Preliminaries / 264 \\
8.3.2 Basic spectral properties / 266 \\
8.3.3 Conjugate-even approximation / 267 \\
8.3.4 Algorithm / 273 \\
8.3.5 Numerical experiment / 275 \\
8.3.6 An application to image reconstruction / 278 \\
8.3.7 Summary / 279 \\
8.4 Low rank covariance approximation / 279 \\
8.4.1 Low dimensional random variable approximation /
280 \\
8.4.2 Truncated SVD / 285 \\
8.4.3 Summary / 286 \\
8.5 Euclidean distance matrix approximation / 286 \\
8.5.1 Preliminaries / 287 \\
8.5.2 Basic formulation / 291 \\
8.5.3 Analytic gradient and Hessian / 291 \\
8.5.4 Modification / 294 \\
8.5.5 Numerical examples / 295 \\
8.5.6 Summary / 300 \\
8.6 Low rank approximation on unit sphere / 300 \\
8.6.1 Linear model / 302 \\
8.6.2 Fidelity of low rank approximation / 306 \\
8.6.3 Compact form and Stiefel manifold / 313 \\
8.6.4 Numerical examples / 315 \\
8.6.5 Summary / 320 \\
8.7 Low rank nonnegative factorization / 320 \\
8.7.1 First-order optimality condition / 322 \\
8.7.2 Numerical methods / 324 \\
8.7.3 An air pollution and emission example / 332 \\
8.7.4 Summary / 337 \\
9: Group orbitally constrained approximation / 339 \\
9.1 Overview / 339 \\
9.2 A case study / 341 \\
9.2.1 Discreteness versus continuousness / 341 \\
9.2.2 Generalization / 343 \\
9.3 General Framework / 344 \\
9.3.1 Matrix group and actions / 344 \\
9.3.2 Tangent space and projection / 347 \\
9.4 Canonical form / 350 \\
9.5 Objective functions / 352 \\
9.5.1 Least squares and projected gradient / 352 \\
9.5.2 Systems for other objectives / 354 \\
9.6 Generalization to non-group structures / 356 \\
9.7 Summary / 358 \\
References / 359 \\
Index / 381",
}
@Book{Farin:2005:PLA,
author = "Gerald E. Farin and Dianne Hansford",
title = "Practical linear algebra: a geometry toolbox",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "xvi + 384",
year = "2005",
ISBN = "1-56881-234-5",
ISBN-13 = "978-1-56881-234-2",
LCCN = "QA184.2 F37 2005",
MRclass = "15-01, 51-01 15A12, 15A15, 15A18, 65D17, 65D18, 68U05,
68U07",
bibdate = "Tue May 5 17:15:28 MDT 2015",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
abstract = "\booktitle{Practical Linear Algebra} introduces
students in mathematics, science, engineering, and
computer science to Linear Algebra from an intuitive
and geometric viewpoint, creating a level of
understanding that goes far beyond mere matrix
manipulations. Practical aspects, such as computer
graphics topics and numerical strategies, are covered
throughout, and thus students can build a `Geometry
Toolbox,' based on a geometric understanding of the key
concepts. This book covers all the standard linear
algebra material for a first-year course; the authors
teach by motivation, illustration, and example rather
than by using a theorem/proof style.",
acknowledgement = ack-nhfb,
subject = "{\'A}lgebra lineal; Estudio y ense{\"a}nanza;
Geometr{\'i}a anal{\'i}tica; Operadores lineales",
tableofcontents = "1: Descartes' discovery \\
2: Here and there: points and vectors in 2D \\
3: Lining up: 2D lines \\
4: Changing shapes: linear maps in 2D \\
5: $2 \times 2$ linear systems \\
6: Moving things around: affine maps in 2D \\
7: Eigen things \\
8: Breaking it up: triangles \\
9: Conics \\
10: 3D geometry \\
11: Interactions in 3D \\
12: Linear maps in 3D \\
13: Affine maps in 3D \\
14: General linear systems \\
15: General linear spaces \\
16: Numerical methods \\
17: Putting lines together: polylines and polygons \\
18: Curves",
}
@Book{Zhang:2005:SCA,
editor = "Fuzhen Zhang",
booktitle = "The {Schur} Complement and its Applications",
title = "The {Schur} Complement and its Applications",
volume = "4",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 295",
year = "2005",
DOI = "https://doi.org/10.1007/b105056",
ISBN = "0-387-24271-6 (hardcover), 0-387-24273-2 (e-book)",
ISBN-13 = "978-0-387-24271-2 (hardcover), 978-0-387-24273-6
(e-book)",
LCCN = "QA184.2 .S38 2005",
MRclass = "15-06 (62-06 62H20 65-03 65-06)",
MRnumber = "2160825 (2006e:15001)",
MRreviewer = "Daniel Kressner",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Numerical Methods and Algorithms",
URL = "http://www.loc.gov/catdir/enhancements/fy0663/2005042750-d.html;
http://www.loc.gov/catdir/enhancements/fy0821/2005042750-t.html",
abstract = "The Schur complement plays an important role in matrix
analysis, statistics, numerical analysis, and many
other areas of mathematics and its applications. This
book describes the Schur complement as a rich and basic
tool in mathematical research and applications and
discusses many significant results that illustrate its
power and fertility. The eight chapters of the book
cover themes and variations on the Schur complement,
including its historical development, basic properties,
eigenvalue and singular value inequalities, matrix
inequalities in both finite and infinite dimensional
settings, closure properties, and applications in
statistics, probability, and numerical
analysis.\par
Although the book is primarily intended to serve as a
research reference, it will also be useful for graduate
and advanced undergraduate courses in mathematics,
applied mathematics, and statistics. The contributing
authors' exposition makes most of the material
accessible to readers with a sound foundation in linear
algebra.",
acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj,
tableofcontents = "Preface \\
Historical Introduction: Issai Schur and the Early
Development of the Schur Complement \\
Basic Properties of the Schur Complement \\
Eigenvalue and Singular Value Inequalities of Schur
Complements \\
Block Matrix Techniques \\
Closure Properties \\
Schur Complements and Matrix Inequalities:
Operator-Theoretic Approach \\
Schur Complements in Statistics and Probability \\
Schur Complements and Applications in Numerical
Analysis \\
Bibliography \\
Notation \\
Index",
}
@Book{Zimmerman:2004:PMS,
author = "William B. J. Zimmerman",
title = "Process modelling and simulation with finite element
methods",
volume = "15",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xii + 382",
year = "2004",
ISBN = "981-238-793-5",
ISBN-13 = "978-981-238-793-6",
LCCN = "TS183 .Z56 2004",
bibdate = "Tue May 27 08:40:40 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Series on stability, vibration, and control of
systems. Series A",
URL = "http://www.loc.gov/catdir/toc/fy0701/2006281168.html",
acknowledgement = ack-nhfb,
subject = "Manufacturing processes; Computer simulation;
Mathematical optimization; Finite element method",
}
@Book{Arfken:2005:MMP,
author = "George B. Arfken and Hans-J{\"u}rgen Weber",
title = "Mathematical Methods for Physicists",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
edition = "Sixth",
pages = "xii + 1182",
year = "2005",
ISBN = "0-12-059876-0, 0-12-088584-0 (paperback)",
ISBN-13 = "978-0-12-059876-2, 978-0-12-088584-8 (paperback)",
LCCN = "QA37.3 .A74 2005",
bibdate = "Tue Feb 17 18:23:45 MST 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Mathematics; Mathematical physics",
tableofcontents = "1. Vector Analysis \\
2. Vector Analysis in Curved Coordinates and Tensors
\\
3. Determinants and Matrices \\
4. Group Theory \\
5. Infinite Series \\
6. Functions of a Complex Variable I: Analytic
Properties, Mapping \\
7. Functions of a Complex Variable II \\
8. The Gamma Function (Factorial Function) \\
9. Differential Equations \\
10. Sturm--Liouville Theory-Orthogonal Functions \\
11. Bessel Functions \\
12. Legendre Functions \\
13. More Special Functions \\
14. Fourier Series \\
15. Integral Transforms \\
16. Integral Equations \\
17. Calculus of Variations \\
18. Nonlinear Methods and Chaos \\
19. Probability",
xxauthor = "George B. (George Brown) Arfken and Hans-J{\"u}rgen
Weber",
xxURL = "http://www.loc.gov/catdir/enhancements/fy0625/2005049844-d.html;
http://www.loc.gov/catdir/enhancements/fy0625/2005049844-t.html",
}
@Book{Atkinson:2005:ENA,
author = "Kendall Atkinson",
title = "Elementary Numerical Analysis (3rd Edition) with
{MATLAB}: An Introduction (2nd Edition) Set",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "????",
year = "2005",
ISBN = "0-471-74257-0",
ISBN-13 = "978-0-471-74257-9",
LCCN = "????",
bibdate = "Tue Apr 26 08:39:05 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
xxnote = "Check peculiar title?",
}
@Book{Burden:2005:NA,
author = "Richard L. Burden",
title = "Numerical analysis",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
edition = "Eighth",
pages = "xiv + 847",
year = "2005",
ISBN = "0-534-39200-8",
ISBN-13 = "978-0-534-39200-0",
LCCN = "QA297 .B84 2005",
bibdate = "Wed Nov 16 14:22:06 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
}
@Book{Chapra:2005:ANM,
author = "Steven C. Chapra",
title = "Applied numerical methods with {MATLAB} for engineers
and scientists",
publisher = "McGraw-Hill Higher Education",
address = "Boston, MA, USA",
pages = "xvi + 384",
year = "2005",
ISBN = "0-07-239265-7 , 0-07-297677-2 (set)",
ISBN-13 = "978-0-07-239265-4, 978-0-07-297677-9 (set)",
LCCN = "QA297 .C4185 2005",
bibdate = "Thu Nov 17 07:03:10 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "MATLAB; Textbooks; Numerical analysis; Data
processing; Textbooks",
}
@Book{Chen:2005:MPT,
author = "Ke Chen",
title = "Matrix preconditioning techniques and applications",
volume = "19",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xxiii + 568 + 8",
year = "2005",
ISBN = "0-521-83828-2",
ISBN-13 = "978-0-521-83828-3",
LCCN = "QA188 .C455 2005",
bibdate = "Thu Mar 31 09:54:34 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/linala2000.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Cambridge monographs on applied and computational
mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0632/2006271080-d.html;
http://www.loc.gov/catdir/enhancements/fy0632/2006271080-t.html;
http://www.loc.gov/catdir/enhancements/fy0733/2006271080-b.html",
acknowledgement = ack-nhfb,
subject = "sparse matrices; data processing; differential
equations; numerical solutions; iterative methods
(mathematics); integral equations",
}
@Book{Davis:2005:MP,
author = "Timothy A. Davis and Kermit Sigmon",
title = "{MATLAB} primer",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
edition = "Seventh",
pages = "xii + 215",
year = "2005",
ISBN = "1-58488-523-8",
ISBN-13 = "978-1-58488-523-8",
LCCN = "QA297 .D38 2005",
bibdate = "Wed Nov 16 14:59:53 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
remark = "Earlier ed.: MATLAB primer / Kermit Sigmon, Boca
Raton, 2002.",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Eaton:2005:GOH,
author = "John W. Eaton",
title = "{GNU Octave}: a high-level interactive language for
numerical computations",
publisher = "Network Theory Ltd.",
address = "Bristol, UK",
pages = "viii + 311",
year = "2005",
ISBN = "0-9541617-2-6",
ISBN-13 = "978-0-9541617-2-9",
LCCN = "????",
bibdate = "Sat Jun 13 11:08:12 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/gnu.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.gbv.de:20011/gvk",
note = "For Octave version 2.0.17 (stable).",
URL = "http://www.gbv.de/dms/ilmenau/toc/520168526eaton.PDF",
acknowledgement = ack-nhfb,
remark = "Second printing with additional corrections",
}
@Book{Einarson:2005:ARS,
editor = "Bo Einarson",
title = "Accuracy and Reliability in Scientific Computing",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxiii + 336",
year = "2005",
ISBN = "0-89871-584-9",
ISBN-13 = "978-0-89871-584-2",
LCCN = "Q183.9 .A28 2005",
bibdate = "Mon Aug 08 05:54:49 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Software, environments, tools",
URL = "http://ec-securehost.com/SIAM/SE18.html",
acknowledgement = ack-nhfb,
subject = "Science; Data processing; Reliability (Engineering);
Mathematics; Computer programs; Correctness; Scientific
applications; Software productivity; Scientific
applications",
tableofcontents = "List of Contributors\\
List of Figures\\
List of Tables\\
Preface\\
Part I: PITFALLS IN NUMERICAL COMPUTATION. Chapter 1:
What Can Go Wrong in Scientific Computing? Bo
Einarsson\\
Chapter 2: Assessment of Accuracy and Reliability,
Ronald F. Boisvert, Ronald Cools, and Bo Einarsson\\
Chapter 3: Approximating Integrals, Estimating Errors,
and Giving the Wrong Solution for a Deceptively Easy
Problem, Ronald Cools\\
Chapter 4: An Introduction to the Quality of Computed
Solutions, Sven Hammarling\\
Chapter 5: Qualitative Computing, Franc,oise
Chaitin-Chatelin and Elisabeth Traviesas-Cassan\\
Part II: DIAGNOSTIC TOOLS. Chapter 6: PRECISE and the
Quality of Reliable Numerical Software, Franc,oise
Chaitin-Chatelin and Elisabeth Traviesas-Cassan\\
Chapter 7: Tools for the Verification of Approximate
Solutions to Differential Equations, Wayne H.
Enright\\
Part III: TECHNOLOGY FOR IMPROVING ACCURACY AND
RELIABILITY. Chapter 8: General Methods for
Implementing Reliable and Correct Software, Bo
Einarsson\\
Chapter 9: The Use and Implementation of Interval Data
Types, G. William Walster\\
Chapter 10: Computer-Assisted Proofs and
Self-Validating Methods, Siegfried M. Rump\\
Chapter 11: Hardware Assisted Algorithms, Craig C.
Douglas and Hans Petter Langtangen\\
Chapter 12: Issues in Accurate and Reliable Use of
Parallel Computing in Numerical Programs, William D.
Gropp\\
Chapter 13: Software Reliability Engineering of
Numerical Systems, Mladen A. Vouk\\
Bibliography\\
Index.",
}
@Book{Einarsson:2005:ARS,
author = "Bo Einarsson",
title = "Accuracy and reliability in scientific computing",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxiii + 338",
year = "2005",
ISBN = "0-89871-584-9 (paperback)",
ISBN-13 = "978-0-89871-584-2 (paperback)",
LCCN = "Q183.9 .A28 2005",
bibdate = "Fri Nov 16 09:22:57 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Software, environments, tools",
URL = "http://www.loc.gov/catdir/enhancements/fy0665/2005047019-d.html;
http://www.loc.gov/catdir/enhancements/fy0665/2005047019-t.html",
acknowledgement = ack-nhfb,
subject = "Science; Data processing; Reliability (Engineering);
Mathematics; Computer programs; Correctness; Scientific
applications; Software productivity",
tableofcontents = "What can go wrong in scientific computing? / Bo
Einarsson \\
Assessment of accuracy and reliability / Ronald F.
Boisvert, Ronald Cools, Bo Einarsson \\
Approximating integrals, estimating errors, and giving
the wrong solution for a deceptively easy problem /
Ronald Cools \\
Introduction to the quality of computed solutions /
Sven Hammarling \\
Qualitative computing / Fran{\c{c}}oise
Chaitin-Chatelin, Elisabeth Traviesas-Cassan \\
PRECISE and the quality of reliable numerical software
/ Fran{\c{c}}oise Chaitin-Chatelin, Elisabeth
Traviesas-Cassan \\
Tools for the verification of approximate solutions to
differential equations / Wayne H. Enright \\
General methods for implementing reliable and correct
software / Bo Einarsson \\
Use and implementation of interval data types / G.
William Walster \\
Computer-assisted proofs and self-validating methods /
Siegfried M. Rump \\
Hardware-assisted algorithms / Craig C. Douglas, Hans
Petter Langtangen \\
Issues in accurate and reliable use of parallel
computing in numerical programs / William D. Gropp \\
Software-reliability engineering of numerical systems /
Mladen A. Vouk",
}
@Book{Etter:2005:IM,
author = "D. M. Etter and David C. Kuncicky and Holly Moore",
title = "Introduction to {MATLAB 7}",
publisher = pub-PEARSON-PH,
address = pub-PEARSON-PH:adr,
pages = "xix + 283",
year = "2005",
ISBN = "0-13-147492-8",
ISBN-13 = "978-0-13-147492-5",
LCCN = "TA345 .E8726 2005 UCB",
bibdate = "Thu Oct 5 05:32:39 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "engineering mathematics -- data processing;
mathematics and statistics -- textbooks; MATLAB;
numerical analysis -- data processing",
}
@Book{Gilat:2005:MIA,
author = "Amos Gilat",
title = "{MATLAB}: an introduction with applications",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Second",
pages = "viii + 343",
year = "2005",
ISBN = "0-471-69420-7",
ISBN-13 = "978-0-471-69420-5",
LCCN = "QA297 .G48 2005",
bibdate = "Tue Apr 26 09:42:28 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Guenther:2005:INM,
author = "Ronald B. Guenther and Abdelwahab Kharab",
title = "An Introduction to Numerical Methods: a {MATLAB}
Approach",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
pages = "608",
year = "2005",
ISBN = "1-58488-557-2",
ISBN-13 = "978-1-58488-557-3",
LCCN = "QA297 .K52 2006",
bibdate = "Tue Apr 26 08:52:19 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
}
@Book{Hanselman:2005:MM,
author = "Duane C. Hanselman and Bruce Littlefield",
title = "Mastering {MATLAB 7}",
publisher = pub-PEARSON-PH,
address = pub-PEARSON-PH:adr,
pages = "xi + 852",
year = "2005",
ISBN = "0-13-143018-1 (paperback), 0-13-185714-2",
ISBN-13 = "978-0-13-143018-1 (paperback), 978-0-13-185714-8",
LCCN = "QA297 .H2963 2005",
bibdate = "Wed Nov 16 10:47:12 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical analysis; Data processing; MATLAB",
}
@Book{Higham:2005:MG,
author = "D. J. (Desmond J.) Higham and Nicholas J. Higham",
title = "{MATLAB} guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
edition = "Second",
pages = "xxiii + 382",
year = "2005",
ISBN = "0-89871-578-4",
ISBN-13 = "978-0-89871-578-1",
LCCN = "QA297 .H5217 2005",
MRclass = "65-00 (00A20)",
MRnumber = "MR2135945",
bibdate = "Thu Nov 17 07:05:53 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Kaipio:2005:SCI,
author = "Jari Kaipio and Erkki Somersalo",
title = "Statistical and computational inverse problems",
volume = "160",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 339",
year = "2005",
ISBN = "0-387-22073-9",
ISBN-13 = "978-0-387-22073-4",
LCCN = "QA1 .A647 vol. 160 QA377",
bibdate = "Tue May 27 08:40:27 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Applied mathematical sciences",
URL = "http://www.loc.gov/catdir/enhancements/fy0662/2004049181-d.html;
http://www.loc.gov/catdir/enhancements/fy0818/2004049181-t.html",
acknowledgement = ack-nhfb,
remark = "``April 1, 2004.''.",
subject = "Inverse problems (Differential equations); Numerical
solutions",
}
@Book{Kiusalaas:2005:NME,
author = "Jaan Kiusalaas",
title = "Numerical Methods in Engineering with {Matlab}",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "viii + 426",
year = "2005",
ISBN = "0-521-85288-9 (hardback)",
ISBN-13 = "978-0-521-85288-3 (hardback)",
LCCN = "TA345 .K58 2005",
MRclass = "65-01",
MRnumber = "MR2168359",
bibdate = "Tue Apr 26 08:48:53 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "MATLAB; Engineering mathematics; Data processing;
Numerical analysis; Data processing",
xxtitle = "Numerical Methods of Engineering with {Matlab}",
}
@Book{Kressner:2005:NMG,
author = "Daniel Kressner",
title = "Numerical Methods for General and Structured
Eigenvalue Problems",
volume = "46",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 258",
year = "2005",
CODEN = "LNCSA6",
ISBN = "3-540-24546-4 (print), 3-540-28502-4 (e-book)",
ISBN-13 = "978-3-540-24546-9 (print), 978-3-540-28502-1
(e-book)",
ISSN = "1439-7358",
ISSN-L = "1439-7358",
LCCN = "QA193 .K745 2005",
bibdate = "Thu Dec 20 12:25:15 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/lncse.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = ser-LNCSE,
URL = "http://link.springer.com/book/10.1007/3-540-28502-4;
http://www.cs.umu.se/~kressner/book.php",
acknowledgement = ack-nhfb,
bookpages = "xiv + 258",
keywords = "$QR$ algorithm; $QZ$ algorithm; Francis;
Kublanovskaya; LAPACK; Rutishauer; ScaLAPACK",
series-URL = "http://link.springer.com/bookseries/3527",
}
@Book{Kythe:2005:HCM,
author = "Prem K. Kythe and Michael R. Sch{\"a}ferkotter",
title = "Handbook of computational methods for integration",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
pages = "xxii + 598",
year = "2005",
ISBN = "1-58488-428-2",
ISBN-13 = "978-1-58488-428-6",
LCCN = "QA299.3 .K98 2005",
bibdate = "Wed Nov 16 14:59:46 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Numerical integration; Integrals; Orthogonal
polynomials",
}
@Book{Landau:2005:FCS,
author = "Rubin H. Landau and Robyn Wangberg and Kyle Augustson
and M. J. P{\'a}ez and C. C. Bordeianu and C. Barnes",
title = "A first course in scientific computing: symbolic,
graphic, and numeric modeling using {Maple}, {Java},
{Mathematica}, and {Fortran90}",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "xxiv + 481",
year = "2005",
ISBN = "0-691-12183-4 (hardcover)",
ISBN-13 = "978-0-691-12183-3 (hardcover)",
LCCN = "Q183.9 .L36 2005",
bibdate = "Tue May 27 08:40:17 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
https://www.math.utah.edu/pub/tex/bib/java2000.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0668/2004062443-d.html;
http://www.loc.gov/catdir/enhancements/fy0668/2004062443-t.html;
http://www.loc.gov/catdir/enhancements/fy0734/2004062443-b.html",
acknowledgement = ack-nhfb,
subject = "Science; Data processing",
tableofcontents = "1. Introduction \\
Part 1. Maple (or Mathematica) by doing \\
2. Getting started with Maple \\
3. Numbers, expressions, functions; rocket golf \\
4. Visualizing data, abstract types; electric fields
\\
5. Solving equations, differentiation; towers \\
6. Integration; power and energy usage (also 14) \\
7. Matrices and vectors; rotation \\
8. Searching, programming; dipsticks \\
Part 2. Java (or Fortran90) by doing \\
9. Getting started with Java \\
10. Data types, limits, methods; rocket golf \\
11. Visualization with Java, classes, packages \\
12. Flow control via logic; projectiles \\
13. Java input and output \\
14. Numerical integration; power and energy usage \\
15. Differential equations with Java and Maple \\
16. Object-oriented programming; complex currents \\
17. Arrays: vectors, matrices; rigid-body rotations \\
18. Advanced objects; baton projectiles \\
19. Discrete math, arrays as bins, bug dynamics \\
20. 2-D arrays: file I/O, PDEs; realistic capacitor \\
21. Web computing, applets, primitive graphics \\
Part 3. \LaTeX{} survival guide \\
22. \LaTeX{} for text \\
23. \LaTeX{} for mathematics \\
Appendix A. Glossary \\
Appendix B. Maple quick reference, debugging help \\
Appendix C. Java quick reference and installing
software \\
Bibliography \\
Index",
}
@Book{Larsson:2005:PDE,
author = "Stig Larsson",
title = "Partial differential equations with numerical
methods",
volume = "45",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 259",
year = "2005",
ISBN = "3-540-01772-0 (hardcover)",
ISBN-13 = "978-3-540-01772-1 (hardcover)",
LCCN = "????",
bibdate = "Tue May 27 08:37:29 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in applied math.",
acknowledgement = ack-nhfb,
}
@Book{Law:2005:ISC,
author = "Alan Law",
title = "Introduction To Scientific Computing Using {Matlab}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "2005",
ISBN = "0-13-033369-7",
ISBN-13 = "978-0-13-033369-8",
LCCN = "????",
bibdate = "Tue Apr 26 08:46:32 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
}
@Book{Meister:2005:NLG,
author = "Andreas Meister",
title = "{Numerik linearer Gleichungssysteme: eine
Einf{\"u}hrung in moderne Verfahren: mit
MATLAB-Implementierung von C. V{\"o}mel}. (German)
[{Numerical} linear equation systems: an introduction
to modern methods: with a {MATLAB} implementation by
{C. V{\"o}mel}]",
publisher = pub-VIEWEG,
address = pub-VIEWEG:adr,
edition = "Second",
pages = "ix + 234",
year = "2005",
ISBN = "3-528-13135-7",
ISBN-13 = "978-3-528-13135-7",
LCCN = "????",
bibdate = "Tue Apr 26 07:45:35 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
language = "German",
}
@Book{Otto:2005:IPN,
author = "Stephen R. Otto and James P. Denier",
title = "An introduction to programming and numerical methods
in {MATLAB}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 463",
year = "2005",
ISBN = "1-85233-919-5",
ISBN-13 = "978-1-85233-919-7",
LCCN = "????",
MRclass = "65-01",
MRnumber = "MR2131502",
bibdate = "Tue Apr 26 07:49:26 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
price = "UK\pounds 25.00",
acknowledgement = ack-nhfb,
}
@Book{Palm:2005:IME,
author = "William J. (William John) {Palm III}",
title = "Introduction to {MATLAB 7} for engineers",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
edition = "Second",
pages = "xiii + 682",
year = "2005",
ISBN = "0-07-254818-5, 0-07-292242-7",
ISBN-13 = "978-0-07-254818-1, 978-0-07-292242-4",
LCCN = "TA345 .P355 2005",
bibdate = "Tue Apr 26 09:03:58 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
subject = "Engineering mathematics; Data processing; MATLAB;
Numerical analysis; Data processing",
}
@Book{Pharr:2005:GGP,
editor = "Matt Pharr and Randima Fernando",
title = "{GPU} gems 2: programming techniques for
high-performance graphics and general-purpose
computation",
volume = "2",
publisher = pub-AW,
address = pub-AW:adr,
pages = "xlix + 814",
year = "2005",
ISBN = "0-321-33559-7 (hardcover)",
ISBN-13 = "978-0-321-33559-3 (hardcover)",
LCCN = "T385 .G688 2005",
bibdate = "Thu Jul 29 13:36:54 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib;
z3950.loc.gov:7090/Voyager",
series = "GPU gems",
URL = "http://www-docs.tu-cottbus.de/bibliothek/public/katalog/420569.PDF;
http://www.loc.gov/catdir/toc/ecip055/2004030181.html",
abstract = "This sequel to the best-selling, first volume of GPU
Gems details the latest programming techniques for
today's graphics processing units (GPUs). As GPUs find
their way into mobile phones, handheld gaming devices,
and consoles, GPU expertise is even more critical in
today's competitive environment. Real-time graphics
programmers will discover the latest algorithms for
creating advanced visual effects, strategies for
managing complex scenes, and techniques for advanced
image processing. Readers will also learn new methods
for using the substantial processing power of the GPU
in other computationally intensive applications, such
as scientific computing and finance. Twenty of the
book's forty-eight chapters are devoted to GPGPU
programming, from basic concepts to advanced
techniques. Written by experts in cutting-edge GPU
programming, this book offers readers practical means
to harness the enormous capabilities of GPUs.",
acknowledgement = ack-nhfb,
keywords = "CUDA; nVIDIA",
remark = "CD-ROM contents: Complementary examples and samples.",
}
@Book{Rahman:2005:ANA,
author = "M. (Matiur) Rahman",
title = "Applied numerical analysis",
publisher = "WIT",
address = "Southampton, UK",
pages = "392",
year = "2005",
ISBN = "1-85312-891-0",
ISBN-13 = "978-1-85312-891-2",
LCCN = "QA371 .R284 2005",
bibdate = "Tue May 27 08:40:29 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
author-dates = "1940--",
remark = "CD-ROM inserted. Includes indexes.",
subject = "Differential equations; Numerical solutions; Numerical
analysis",
tableofcontents = "1. Introduction \\
2. Ordinary differential equations \\
3. Partial differential equations \\
4. Nonlinear differential equations and stability \\
5. The calculus of variations \\
6. Applications",
}
@Book{Robert:2005:LAE,
author = "Alain Robert",
title = "Linear algebra: examples and applications",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xiv + 372",
year = "2005",
ISBN = "981-256-432-2, 981-256-499-3 (paperback)",
ISBN-13 = "978-981-256-432-0, 978-981-256-499-3 (paperback)",
LCCN = "QA184.2 .R63 2005",
bibdate = "Tue May 27 08:40:10 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Algebras, Linear",
}
@Book{Schilders:2005:SVN,
author = "W. H. A. Schilders and E. J. W. ter Maten",
title = "Special volume: numerical methods in
electromagnetics",
volume = "13",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "500",
year = "2005",
ISBN = "0-444-51375-2",
ISBN-13 = "978-0-444-51375-5",
LCCN = "QA297 .H287 1989 vol. 13",
bibdate = "Sat Dec 31 10:38:45 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
series = "Handbook of numerical analysis",
acknowledgement = ack-nhfb,
subject = "Electromagnetism; Mathematical models",
}
@Book{Stanoyevitch:2005:IMN,
author = "Alexander Stanoyevitch",
title = "Introduction to {MATLAB} with numerical
preliminaries",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY-INTERSCIENCE:adr,
pages = "x + 331",
year = "2005",
ISBN = "0-471-69737-0",
ISBN-13 = "978-0-471-69737-4",
LCCN = "TA345 .S75 2005",
bibdate = "Tue May 27 08:40:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0618/2004053006-b.html;
http://www.loc.gov/catdir/enhancements/fy0618/2004053006-d.html;
http://www.loc.gov/catdir/toc/wiley051/2004053006.html",
acknowledgement = ack-nhfb,
subject = "Engineering mathematics; Data processing; MATLAB;
Numerical analysis",
}
@Book{Stanoyevitch:2005:INO,
author = "Alexander Stanoyevitch",
title = "Introduction to numerical ordinary and partial
differential equations using {MATLAB}",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY-INTERSCIENCE:adr,
pages = "xiv + 813",
year = "2005",
ISBN = "0-471-69738-9 (hardcover)",
ISBN-13 = "978-0-471-69738-1 (hardcover)",
LCCN = "QA371.5.D37 .S78 2005",
bibdate = "Tue May 27 08:40:22 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Pure and applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0618/2004058042-b.html;
http://www.loc.gov/catdir/enhancements/fy0618/2004058042-d.html;
http://www.loc.gov/catdir/toc/wiley051/2004058042.html",
acknowledgement = ack-nhfb,
subject = "Differential equations; Numerical solutions; Data
processing; Differential equations, Partial; MATLAB",
}
@Book{Trefethen:2005:SP,
author = "Lloyd N. Trefethen and Mark Embree",
title = "Spectra and pseudospectra",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "xviii + 606",
year = "2005",
ISBN = "0-691-11946-5",
ISBN-13 = "978-0-691-11946-5",
MRclass = "15-02 (15A18 47A10 47A50)",
MRnumber = "MR2155029",
bibdate = "Tue Nov 25 07:34:14 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "The behavior of nonnormal matrices and operators",
}
@Book{Tveito:2005:IPD,
author = "Aslak Tveito and Ragnar Winther",
title = "Introduction to partial differential equations: a
computational approach",
volume = "29",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Corr. 2nd print.",
pages = "xv + 392",
year = "2005",
ISBN = "3-540-22551-X",
ISBN-13 = "978-3-540-22551-5",
LCCN = "QA377 .T9 2005",
bibdate = "Tue May 27 08:40:25 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0823/2004111961-d.html;
http://www.loc.gov/catdir/enhancements/fy0823/2004111961-t.html",
acknowledgement = ack-nhfb,
author-dates = "1961--",
subject = "Differential equations, Partial",
}
@Book{Yang:2005:ANM,
author = "Won Young Yang and Wenwu Cao and Tae-Sang Chung and
John Morris",
title = "Applied numerical methods using {MATLAB}",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY:adr,
pages = "xiv + 509",
year = "2005",
DOI = "https://doi.org/10.1002/0471705195.indsp2",
ISBN = "0-471-69833-4 (hardcover)",
ISBN-13 = "978-0-471-69833-3 (hardcover)",
LCCN = "QA297 .Y36 2005",
MRclass = "65-01",
MRnumber = "MR2135067",
bibdate = "Tue May 27 08:40:19 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
price = "UK\pounds 50.50",
URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/;
http://www.loc.gov/catdir/enhancements/fy0616/2004013108-b.html;
http://www.loc.gov/catdir/enhancements/fy0616/2004013108-d.html;
http://www.loc.gov/catdir/toc/ecip0418/2004013108.html",
acknowledgement = ack-nhfb,
keywords = "electronic books; MATLAB; numerical analysis -- data
processing",
subject = "Numerical analysis; Data processing; MATLAB",
tableofcontents = "Preface \\
1 MATLAB Usage and Computational Errors \\
1.1 Basic Operations of MATLAB \\
1.1.1 Input/Output of Data from MATLAB Command Window
\\
1.1.2 Input/Output of Data Through Files \\
1.1.3 Input/Output of Data Using Keyboard \\
1.1.4 2-D Graphic Input/Output \\
1.1.5 3-D Graphic Output \\
1.1.6 Mathematical Functions \\
1.1.7 Operations on Vectors and Matrices \\
1.1.8 Random Number Generators \\
1.1.9 Flow Control \\
1.2 Computer Errors Versus Human Mistakes \\
1.2.1 IEEE 64-bit Floating-Point Number Representation
\\
\ldots{} \\
Hermite Interpolating Polynomial \\
3.7 Two-dimensional Interpolation \\
3.8 Curve Fitting \\
3.8.1 Straight Line Fit: A Polynomial Function of First
Degree \\
3.8.2 Polynomial Curve Fit: A Polynomial Function of
Higher Degree \\
3.8.3 Exponential Curve Fit and Other Functions \\
3.9 Fourier Transform 3 \\
.9.1 FFT Versus DFT \\
3.9.2 Physical Meaning of DFT \\
3.9.3 Interpolation by Using DFS Problems \\
4 Nonlinear Equations \\
4.1 Iterative Method Toward Fixed Point \\
4.2 Bisection Method \\
4.3 False Position or Regula Falsi \\
\ldots{}",
}
@Book{Andersen:2006:CSS,
author = "Hanne Andersen and Peter Barker and Xiang Chen",
title = "The cognitive structure of scientific revolutions",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xvii + 199",
year = "2006",
ISBN = "0-521-85575-6",
ISBN-13 = "978-0-521-85575-4",
LCCN = "Q174.8 .A53 2006",
bibdate = "Fri Oct 8 22:59:43 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/bjps.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.ox.ac.uk:210/ADVANCE;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0633/2005021713-d.html;
http://www.loc.gov/catdir/enhancements/fy0733/2005021713-b.html;
http://www.loc.gov/catdir/toc/ecip0516/2005021713.html",
abstract = "Thomas Kuhn's Structure of Scientific Revolutions
became the most widely read book about science in the
twentieth century. His terms `paradigm' and `scientific
revolution' entered everyday speech, but they remain
controversial. In the second half of the twentieth
century, the new field of cognitive science combined
empirical psychology, computer science, and
neuroscience. In this book, recent theories of concepts
developed by cognitive scientists are used to evaluate
and extend Kuhn's most influential ideas.",
acknowledgement = ack-nhfb,
subject = "Science; Philosophy; History; 20th century; Paradigm
(Theory of knowledge); Cognition; Constructivism
(Philosophy); Kuhn, Thomas S",
}
@Book{Aratyn:2006:SCM,
author = "Henrik Aratyn and Constantin Rasinariu",
title = "A short course in mathematical methods with {Maple}",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xv + 700",
year = "2006",
ISBN = "981-256-595-7",
ISBN-13 = "978-981-256-595-2",
LCCN = "QA297 .A73 2006",
bibdate = "Wed Oct 4 19:21:54 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
keywords = "Maple (computer file); numerical analysis -- data
processing",
remark = "This book is based on lecture notes used in a
one-semester mathematical methods course for
undergraduates at the University of Illinois at
Chicago. The course is accompanied by a computer-based
workshop, which guides students through the material
using symbolic computation with Maple in the setting of
the computer lab. Maple software was found to aid
students to conceptualize the mathematical content of
the course, and to encourage the mathematical content
of the course, and to encourage them to experiment with
Mathematics.",
}
@Book{Brandimarte:2006:NMF,
author = "Paolo Brandimarte",
title = "Numerical methods in finance and economics: a
{MATLAB}-based introduction",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY-INTERSCIENCE:adr,
edition = "Second",
pages = "xxiv + 669",
year = "2006",
ISBN = "0-471-74503-0 (cloth)",
ISBN-13 = "978-0-471-74503-7 (cloth)",
LCCN = "HG176.5 .B73 2006",
bibdate = "Sat Jun 13 09:23:50 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Statistics in practice",
URL = "http://www.loc.gov/catdir/enhancements/fy0826/2006045787-b.html;
http://www.loc.gov/catdir/enhancements/fy0826/2006045787-d.html;
http://www.loc.gov/catdir/enhancements/fy0826/2006045787-t.html",
acknowledgement = ack-nhfb,
remark = "Revised edition of ``Numerical methods in finance''
(2002).",
subject = "Finance; Statistical methods; Economics",
}
@Book{Bruaset:2006:NSP,
editor = "Are Magnus Bruaset and Aslak Tveito",
title = "Numerical solution of partial differential equations
on parallel computers",
volume = "51",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 482",
year = "2006",
DOI = "https://doi.org/10.1007/3-540-31619-1",
ISBN = "3-540-29076-1",
ISBN-13 = "978-3-540-29076-6",
MRclass = "65-06 (65Y05 68W10)",
MRnumber = "2267526 (2007f:65005)",
bibdate = "Mon Oct 11 08:42:11 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
MathSciNet database",
series = "Lecture Notes in Computational Science and
Engineering",
acknowledgement = ack-nhfb,
}
@Book{Chapra:2006:NME,
author = "Steven C. Chapra and Raymond P. Canale",
title = "Numerical methods for engineers",
publisher = "McGraw-Hill Higher Education",
address = "Boston, MA, USA",
edition = "Fifth",
pages = "xviii + 926",
year = "2006",
ISBN = "0-07-291873-X (hard copy)",
ISBN-13 = "978-0-07-291873-1 (hard copy)",
bibdate = "Thu Nov 17 07:03:13 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "Matlab",
subject = "Engineering mathematics; Data processing; Numerical
calculations; Data processing; Microcomputers;
Programming",
}
@Book{Daku:2006:MTC,
author = "Brian Daku",
title = "{MATLAB} tutor {CD}: learning {MATLAB} superfast!",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xxi + 162",
year = "2006",
ISBN = "0-471-72879-9 (CD-ROM), 0-471-27469-0 (paperback)",
ISBN-13 = "978-0-471-72879-5 (CD-ROM), 978-0-471-27469-8
(paperback)",
LCCN = "????",
bibdate = "Thu Nov 17 10:12:50 MST 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.libris.kb.se:210/libr",
acknowledgement = ack-nhfb,
keywords = "Matlab",
remark = "CD-ROM title: M-Tutor: an introduction to MATLAB, by
Brian L. F. Daku.",
subject = "Numerical analysis; Data processing; MATLAB;
Engineering mathematics",
}
@Book{Davis:2006:DMS,
author = "Timothy A. Davis",
title = "Direct methods for sparse linear systems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xii + 217",
year = "2006",
ISBN = "0-89871-613-6 (paperback)",
ISBN-13 = "978-0-89871-613-9 (paperback)",
LCCN = "QA188 .D386 2006",
bibdate = "Fri Jun 13 12:24:37 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Fundamentals of algorithms",
URL = "http://www.loc.gov/catdir/enhancements/fy0710/2006044387-d.html;
http://www.loc.gov/catdir/enhancements/fy0710/2006044387-t.html;
http://www.loc.gov/catdir/enhancements/fy0733/2006044387-b.html",
acknowledgement = ack-nhfb,
subject = "Sparse matrices; Linear systems",
}
@Book{Heinbockel:2006:NMS,
author = "John Henry Heinbockel",
title = "Numerical methods for scientific computing",
publisher = "Trafford",
address = "Victoria, BC, Canada",
pages = "501",
year = "2006",
ISBN = "1-4120-3153-2 (paperback)",
ISBN-13 = "978-1-4120-3153-0 (paperback)",
LCCN = "Q183.9 2006",
bibdate = "Fri Nov 16 09:01:26 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.gbv.de:20011/gvk",
acknowledgement = ack-nhfb,
}
@Book{Householder:2006:PNA,
author = "Alston S. Householder",
title = "Principles of Numerical Analysis",
publisher = pub-DOVER,
address = pub-DOVER:adr,
edition = "Corrected",
pages = "x + 274",
year = "2006",
ISBN = "0-486-45312-X",
ISBN-13 = "978-0-486-45312-5",
MRclass = "65-01",
MRnumber = "2450153",
bibdate = "Thu Dec 6 18:25:24 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
ZMnumber = "1152.65002",
acknowledgement = ack-nhfb,
}
@Book{Householder:2006:TMN,
author = "Alston Scott Householder",
booktitle = "The Theory of Matrices in Numerical Analysis",
title = "The Theory of Matrices in Numerical Analysis",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xi + 257",
year = "2006",
ISBN = "0-486-44972-6 (paperback)",
ISBN-13 = "978-0-486-44972-2 (paperback)",
LCCN = "QA188 .H67 2006",
bibdate = "Tue Jun 19 06:23:59 MDT 2018",
bibsource = "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/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0634/2005054775-d.html",
abstract = "Suitable for advanced undergraduates and graduate
students, this text explores aspects of matrix theory
that are most useful in developing and appraising
computational methods for solving systems of linear
equations and for finding characteristic roots. An
introductory chapter covers the Lanczos algorithm,
orthogonal polynomials, and determinantal identities.
Succeeding chapters examine norms, bounds and
convergence; localization theorems and other
inequalities; and methods of solving systems of linear
equations. The final chapters illustrate mathematical
principles underlying linear equations and their
interrelationships, including methods of successive
approximation, direct methods of inversion,
normalization and reduction of the matrix, and proper
values and vectors.",
acknowledgement = ack-nhfb,
author-dates = "1904--1993",
remark = "Originally published in \cite{Householder:1964:TMN}.",
subject = "Matrices; Numerical analysis",
tableofcontents = "1. Some basic identities and inequalities \\
2. Norms, bounds, and convergence \\
3. Localization theorems and other inequalities
(exclusion theorems; inclusion and separation theorems;
minimax theorems: inequalities of Wielandt and
Kantorovich) \\
4. The solution of linear systems: methods of
successive approximation \\
5. Direct methods of inversion \\
6. Proper values and vectors: normalization and
reduction of the matrix (methods of Krylov,
Webber-Voetter, Danilevskii, Hessenberg, Lanczos,
Samuelson and Bryan, Leverrier, etc.) \\
7. Proper values and vectors: successive approximation
(methods of Jacobi, Collar and Jahn; power method; $LR$
and $QR$ transformations)",
}
@Book{Hunt:2006:GMB,
author = "Brian R. Hunt and Ronald J. Lipsman and J. (Jonathan)
Rosenberg",
title = "A guide to {MATLAB}: for beginners and experienced
users",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
edition = "Second",
pages = "xv + 311",
year = "2006",
ISBN = "0-521-85068-1, 0-521-61565-8 (paperback)",
ISBN-13 = "978-0-521-85068-1, 978-0-521-61565-5 (paperback)",
LCCN = "QA297 .H86 2006 UCD",
bibdate = "Thu Oct 5 05:32:39 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
keywords = "engineering -- data processing; mathematics and
statistics -- textbooks; MATLAB; numerical analysis --
data processing",
}
@Book{Kharab:2006:INM,
author = "Abdelwahab Kharab and Ronald B. Guenther",
title = "An introduction to numerical methods: a {MATLAB}
approach",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
edition = "Second",
pages = "608",
year = "2006",
ISBN = "1-58488-557-2",
ISBN-13 = "978-1-58488-557-3",
LCCN = "QA297 .K52 2006",
bibdate = "Thu Oct 5 05:32:39 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
note = "Includes CD-ROM.",
acknowledgement = ack-nhfb,
keywords = "geodatabases -- electronic resources; MATLAB;
numerical analysis -- data processing",
}
@Book{Liu:2006:EMM,
author = "Lianshou Liu",
title = "Exercises in methods of mathematical physics",
publisher = "Rinton Press",
address = "Princeton, NJ, USA",
pages = "320",
year = "2006",
ISBN = "1-58949-049-5",
ISBN-13 = "978-1-58949-049-9",
LCCN = "????",
bibdate = "Wed May 11 13:57:59 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
}
@Book{Meurant:2006:LCG,
author = "G{\'e}rard A. Meurant",
title = "The {Lanczos} and conjugate gradient algorithms: from
theory to finite precision computations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xv + 365",
year = "2006",
ISBN = "0-89871-616-0",
ISBN-13 = "978-0-89871-616-0",
LCCN = "QA218 .M48 2006",
bibdate = "Thu Jun 9 11:53:47 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Software, environments, tools",
URL = "http://www.loc.gov/catdir/enhancements/fy0710/2006044391-d.html;
http://www.loc.gov/catdir/enhancements/fy0733/2006044391-b.html;
http://www.loc.gov/catdir/toc/fy0707/2006044391.html",
acknowledgement = ack-nhfb,
subject = "conjugate gradient methods; algorithms; methodology",
}
@Book{Nocedal:2006:NO,
author = "Jorge Nocedal and Stephen J. Wright",
title = "Numerical Optimization",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xxii + 664",
year = "2006",
ISBN = "0-387-30303-0 (hardcover)",
ISBN-13 = "978-0-387-30303-1 (hardcover)",
LCCN = "QA402.5 .N62 2006",
bibdate = "Mon May 5 12:41:59 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer series in operations research",
URL = "http://www.loc.gov/catdir/enhancements/fy0818/2006923897-d.html;
http://www.loc.gov/catdir/enhancements/fy0818/2006923897-t.html",
abstract = "\booktitle{Numerical Optimization} presents a
comprehensive and up-to-date description of the most
effective methods in continuous optimization. It
responds to the growing interest in optimization in
engineering, science, and business by focusing on the
methods that are best suited to practical problems. For
this new edition the book has been thoroughly updated
throughout. There are new chapters on nonlinear
interior methods and derivative-free methods for
optimization, both of which are used widely in practice
and the focus of much current research. Because of the
emphasis on practical methods, as well as the extensive
illustrations and exercises, the book is accessible to
a wide audience. It can be used as a graduate text in
engineering, operations research, mathematics, computer
science, and business. It also serves as a handbook for
researchers and practitioners in the field. The authors
have strived to produce a text that is pleasant to
read, informative, and rigorous - one that reveals both
the beautiful nature of the discipline and its
practical side.",
acknowledgement = ack-nhfb,
libnote = "Not in my library.",
subject = "Mathematical optimization",
tableofcontents = "Preface \\
Preface to the Second Edition \\
1: Introduction \\
2: Fundamentals of Unconstrained Optimization \\
3: Line Search Methods \\
4: Trust-Region Methods \\
5: Conjugate Gradient Methods \\
6: Quasi-Newton Methods \\
7: Large-Scale Unconstrained Optimization \\
8: Calculating Derivatives \\
9: Derivative-Free Optimization \\
10: Least-Squares Problems \\
11: Nonlinear Equations \\
12: Theory of Constrained Optimization \\
13: Linear Programming: The Simplex Method \\
14: Linear Programming: Interior-Point Methods \\
15: Fundamentals of Algorithms for Nonlinear
Constrained Optimization \\
16: Quadratic Programming \\
17: Penalty and Augmented Lagrangian Methods \\
18: Sequential Quadratic Programming \\
19: Interior-Point Methods for Nonlinear Programming
\\
A: Background Material \\
B: A Regularization Procedure \\
References \\
Index",
}
@Book{Quarteroni:2006:SCM,
author = "Alfio Quarteroni and Fausto Saleri",
title = "Scientific computing with {MATLAB} and {Octave}",
volume = "2",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xvi + 318",
year = "2006",
ISBN = "3-540-32612-X",
ISBN-13 = "978-3-540-32612-0",
LCCN = "Q183.9 .Q8313 2006",
MRclass = "65-01",
MRnumber = "MR2253397 (2007d:65001)",
bibdate = "Sat Jun 13 10:49:03 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in computational science and engineering",
URL = "http://www.loc.gov/catdir/enhancements/fy0814/2006928277-d.html;
http://www.loc.gov/catdir/toc/fy0708/2006928277.html",
acknowledgement = ack-nhfb,
remark = "Title of the Italian original edition: ``Introduzione
al Calcolo Scientifico'', Springer-Verlag Italia,
Milano, 2006. Previous edition ``Scientific computing
with MATLAB'' \cite{Quarteroni:2003:SCM}.",
subject = "Science; Data processing; MATLAB",
tableofcontents = "1. What can't be ignored \\
2. Nonlinear equations \\
3. Approximation of functions and data \\
4. Numerical differentiation and integration \\
5. Linear systems \\
6. Eigenvalues and eigenvectors \\
7. Ordinary differential equations \\
8. Numerical methods for (initial-) boundary-value
problems \\
9. Solutions of the exercise",
}
@Book{Romano:2006:CMU,
author = "Antonio Romano and Renato Lancellotta and Addolorata
Marasco",
title = "Continuum mechanics using {Mathematica}: fundamentals,
applications, and scientific computing",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xii + 388",
year = "2006",
ISBN = "0-8176-3240-9",
ISBN-13 = "978-0-8176-3240-3",
LCCN = "QA808.2 .R66 2004",
bibdate = "Wed Oct 4 11:03:45 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Includes CD-ROM.",
series = "Modeling and simulation in science, engineering, and
technology",
acknowledgement = ack-nhfb,
keywords = "cd-roms; continuum mechanics -- data processing;
mathematica (computer file)",
}
@Book{Shapira:2006:SPC,
author = "Yair Shapira",
title = "Solving {PDEs} in {C++}: numerical methods in a
unified object-oriented approach",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxiii + 500",
year = "2006",
ISBN = "0-89871-601-2 (paperback)",
ISBN-13 = "978-0-89871-601-6 (paperback)",
LCCN = "QA377 .S466 2006",
bibdate = "Tue May 27 08:39:56 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Computational science and engineering",
URL = "http://www.loc.gov/catdir/enhancements/fy0708/2005054086-d.html;
http://www.loc.gov/catdir/enhancements/fy0708/2005054086-t.html",
acknowledgement = ack-nhfb,
author-dates = "1960--",
subject = "Differential equations, Partial; C++ (Computer program
language); Object-oriented programming (Computer
science)",
tableofcontents = "1: Introduction to C \\
2: Introduction to C++ \\
3: Data structures \\
4: Object-oriented programming \\
5: Algorithms and their object-oriented implementation
\\
6: Object-oriented analysis \\
7: The convection-diffusion equation \\
8: Stability analysis \\
9: Nonlinear equations \\
10: Application in image processing \\
11: The weak formulation \\
12: Linear finite elements \\
13: Unstructured finite-element meshes \\
14: Adaptive mesh refinement \\
15: High-order finite elements \\
16: Sparse matrices and their implementation \\
17: Iterative methods for large sparse linear systems
\\
18: Parallelism \\
19: Diffusion equations \\
20: The linear elasticity equations \\
21: The Stokes equations \\
22: Electromagnetic waves",
}
@Book{Zienkiewicz:2006:FEA,
author = "O. C. Zienkiewicz and K. (Kenneth) Morgan",
title = "Finite elements and approximation",
publisher = pub-DOVER,
address = pub-DOVER:adr,
edition = "{Dover}",
pages = "xii + 328",
year = "2006",
ISBN = "0-486-45301-4 (paperback)",
ISBN-13 = "978-0-486-45301-9 (paperback)",
LCCN = "QA297.5 .Z53 2006",
bibdate = "Tue May 27 08:39:24 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Dover books on engineering",
URL = "http://www.loc.gov/catdir/enhancements/fy0659/2006047436-d.html;
http://www.loc.gov/catdir/toc/fy0705/2006047436.html",
acknowledgement = ack-nhfb,
remark = "Originally published: New York : J. Wiley, 1983.",
subject = "Approximation theory; Finite element method",
}
@Book{Aberth:2007:IPN,
author = "Oliver Aberth",
title = "Introduction to precise numerical methods",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "272 (est.)",
year = "2007",
ISBN = "0-12-373859-8",
ISBN-13 = "978-0-12-373859-2",
LCCN = "QA76.9.M35 A24 2007",
bibdate = "Fri Mar 23 12:13:38 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.elsevier.com/wps/find/bookdescription.cws_home/710141/description;
http://www.loc.gov/catdir/enhancements/fy0707/2007000712-d.html;
http://www.loc.gov/catdir/toc/ecip078/2007000712.html",
acknowledgement = ack-nhfb,
subject = "Computer science; Mathematics; Numerical analysis;
Data processing",
}
@Book{Allaire:2007:NAO,
author = "Gr{\'e}goire Allaire",
title = "Numerical analysis and optimization: an introduction
to mathematical modelling and numerical simulation",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xvi + 455",
year = "2007",
ISBN = "0-19-920521-3 (cased), 0-19-920522-1 (paperback)",
ISBN-13 = "978-0-19-920521-9 (cased), 978-0-19-920522-6
(paperback)",
LCCN = "QA297 .A52513 2007",
bibdate = "Wed Apr 21 17:01:12 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Numerical mathematics and scientific computation",
acknowledgement = ack-nhfb,
subject = "numerical analysis; mathematical optimization;
mathematical models",
}
@Book{Bornemann:2007:LNP,
author = "Folkmar Bornemann and Dirk Laurie and Stan Wagon and
J{\"o}rg Waldvogel",
title = "{Vom L{\"o}sen numerischer Probleme: ein Streifzug
entlang der ``SIAM $ 10 \times 10$-Digit Challenge''}.
({German}) [{On} the solution of numerical problems: a
foray along the {``SIAM $ 10 \times 10$-Digit
Challenge''}]",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 381",
year = "2007",
ISBN = "3-540-34114-5",
ISBN-13 = "978-3-540-34114-7",
LCCN = "????",
bibdate = "Fri Nov 16 08:53:05 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.gbv.de:20011/gvk",
acknowledgement = ack-nhfb,
language = "German",
}
@Book{Danaila:2007:ISC,
editor = "Ionut Danaila and Pascal Joly and Sidi Mahmoud Kaber
and Marie Postel",
title = "An introduction to scientific computing: twelve
computational projects solved with {MATLAB}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xv + 294",
year = "2007",
ISBN = "0-387-30889-X (hardcover)",
ISBN-13 = "978-0-387-30889-0 (hardcover)",
LCCN = "QA297 .I585 2007",
bibdate = "Sat Jun 13 08:44:50 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0824/2006931780-d.html;
http://www.loc.gov/catdir/toc/fy0712/2006931780.html",
acknowledgement = ack-nhfb,
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Elden:2007:MMD,
author = "Lars Eld{\'e}n",
title = "Matrix methods in data mining and pattern
recognition",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "x + 224",
year = "2007",
ISBN = "0-89871-626-8 (paperback)",
ISBN-13 = "978-0-89871-626-9 (paperback)",
LCCN = "QA76.9.D343 E52 2007",
bibdate = "Fri Sep 5 12:55:02 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Fundamentals of algorithms",
URL = "http://www.loc.gov/catdir/enhancements/fy0715/2006041348-b.html;
http://www.loc.gov/catdir/enhancements/fy0715/2006041348-d.html;
http://www.loc.gov/catdir/enhancements/fy0715/2006041348-t.html",
acknowledgement = ack-nhfb,
subject = "data mining; pattern recognition systems; mathematical
models; algebras, linear",
}
@Book{Enns:2007:CAR,
author = "Richard H. Enns and George McGuire",
title = "Computer algebra recipes: an advanced guide to
scientific modeling",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 372",
year = "2007",
ISBN = "0-387-25768-3 (softcover), 0-387-49333-6 (ebook)",
ISBN-13 = "978-0-387-25768-6 (softcover), 978-0-387-49333-6
(ebook)",
LCCN = "QA371 .E56 2007",
bibdate = "Sat Jun 13 08:44:18 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0824/2006936017-d.html;
http://www.loc.gov/catdir/toc/fy0710/2006936017.html",
acknowledgement = ack-nhfb,
subject = "Differential equations; Numerical solutions; Computer
programs; Maple (computer file); science; mathematical
models",
}
@Book{Gil:2007:NMS,
author = "Amparo Gil and Javier Segura and Nico M. Temme",
title = "Numerical Methods for Special Functions",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xvi + 415",
year = "2007",
ISBN = "0-89871-634-9",
ISBN-13 = "978-0-89871-634-4",
LCCN = "QA351 .G455 2007",
bibdate = "Fri Sep 14 10:24:22 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$99.00",
acknowledgement = ack-nhfb,
remark = "To be published October 2007.",
subject = "functions, special; data processing; numerical
analysis; asymptotic expansions; approximation theory",
}
@Book{Golub:2007:MC,
author = "Gene H. Golub and Charles F. {Van Loan}",
title = "Matrix computations",
publisher = "Hindustan Book Agency",
address = "New Delhi, India",
edition = "Third",
pages = "722 (est.)",
year = "2007",
ISBN = "????",
ISBN-13 = "????",
MRclass = "65Fxx (Numerical linear algebra); 65-01 (Textbooks
(numerical analysis)); 65Y05 (Parallel computation
(numerical methods)); 15A18 (Eigenvalues of matrices,
etc.); 15A60 (Appl. of functional analysis to matrix
theory)",
bibdate = "Wed Oct 31 12:42:00 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Johns Hopkins Studies in the Mathematical Sciences",
ZMnumber = "1118.65316",
acknowledgement = ack-nhfb,
}
@Book{Golub:2007:MMC,
author = "Gene H. Golub",
title = "Milestones in matrix computation: selected works of
{Gene H. Golub}, with commentaries",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xii + 565 + 3",
year = "2007",
ISBN = "0-19-920681-3",
ISBN-13 = "978-0-19-920681-0",
LCCN = "QA188 .G67 2007",
MRclass = "65-06 (01A75 65Fxx)",
MRnumber = "MR2281939",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Edited by Raymond H. Chan, Chen Greif and Dianne P.
O'Leary.",
series = "Oxford Science Publications",
URL = "http://www.loc.gov/catdir/enhancements/fy0737/2007276086-d.html",
subject = "Golub, Gene H; (Gene Howard); Matrices; Numerical
analysis",
subject-dates = "1932--2007",
}
@Book{Gran:2007:NCS,
author = "Richard J. Gran",
title = "Numerical computing with {SIMULINK}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxi + 306",
year = "2007",
ISBN = "0-89871-637-3 (paperback), 0-89871-781-7 (e-book)",
ISBN-13 = "978-0-89871-637-5 (paperback), 978-0-89871-781-5
(e-book)",
LCCN = "QA297 .G676 2007",
bibdate = "Thu Nov 15 14:32:15 MST 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "v. 1. Creating simulations.",
subject = "Numerical analysis; Data processing; SIMULINK",
}
@Book{Hogben:2007:HLA,
editor = "Leslie Hogben",
booktitle = "Handbook of Linear Algebra",
title = "Handbook of Linear Algebra",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
pages = "xxx + 1370",
year = "2007",
ISBN = "1-58488-510-6 (hardcover), 1-4200-1057-3 (e-book)",
ISBN-13 = "978-1-58488-510-8 (hardcover), 978-1-4200-1057-2
(e-book)",
LCCN = "QA184.2 .H36 2007",
MRclass = "15-00 (00A20)",
MRnumber = "2279160 (2007j:15001)",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
note = "Associate editors: Richard Brualdi, Anne Greenbaum and
Roy Mathias.",
series = "Discrete Mathematics and its Applications (Boca
Raton)",
URL = "http://www.crcnetbase.com/isbn/9781420010572;
http://www.crcnetbase.com/isbn/9781584885108;
http://www.loc.gov/catdir/enhancements/fy0647/2006045491-d.html",
abstract = "\booktitle{Handbook of Linear Algebra} covers all
aspects of linear algebra, including fundamentals,
numerical linear algebra, software packages for
computation in linear algebra, and various
applications, such as quantum computing, control
theory, image compression, and computational biology.
The author addresses combinatorial Matrix theory and
features Matrix notation throughout the text. The book
includes a chapter on software that provides extensive
coverage of MATLAB, Maple, and Mathematica and contains
details of Fortran subroutines available for linear
algebra such as LAPACK and ARPACK. Rather than
presenting long mathematical proofs, the text provides
numerous references for additional information.",
acknowledgement = ack-nhfb # " and " # ack-rah,
keywords = "Maple",
remark = "Associate editors: Richard Brualdi, Anne Greenbaum,
and Roy Mathias.",
subject = "Algebras, Linear",
tableofcontents = "Preliminaries \\
I. Linear algebra \\
1: Vectors, matrices and systems of linear equations /
Jane Day \\
2: Linear independence, span, and bases / Mark Mills
\\
3: Linear transformations / Francesco Barioli \\
4: Determinants and eigenvalues / Luz M. DeAlba \\
5: Inner product spaces, orthogonal projection, least
squares and singular value decomposition / Lixing Han
and Michael Neumann \\
6: Canonical forms / Leslie Hogben \\
7: Unitary similarity, normal matrices, and spectral
theory / Helene Shapiro \\
8: Hermitian and positive definite matrices / Wayne
Barrett \\
9: Nonnegative and stochastic matrices / Uriel G.
Rothblum \\
10: Partitioned matrices / Robert Reams \\
11: Functions of matrices / Nicholas J. Higham \\
12: Quadratic, bilinear and sesquilinear forms /
Raphael Lowey \\
13: Multilinear algebra / J. A. Dias de Silva and
Armando Machado \\
14: Matrix equalities and inequalities / Michael
Tsatsomeros \\
15: Matrix perturbation theory / Ren-Cang Li \\
16: Pseudospectra / Mark Embree \\
17: Singular values and singular value inequalities /
Roy Mathias \\
18: Numerical range / Chi-Kwong Li \\
19: Matrix stability and inertia / Daniel Hershkowitz
\\
20: Inverse eigenvalue problems / Alberto Borobia \\
21: Totally positive and totally negative matrices /
Shaun M. Fallat \\
22: Linear preserver problems / Peter \v Semrl \\
23: Matrices over integral domains / Shmuel Friedland
\\
24: Similarities of families of matrices / Shmuel
Friedland \\
25: Max-plus algebra / Marianne Akian, Ravindra Bapat,
St{\'e}phane Gaubert \\
26: Matrices leaving a cone invariant / Bit-Shun Tam
and Hans Schneider \\
II. Combinatorial matrix theory and graphs \\
27: Combinatorial matrix theory / Richard A. Brualdi
\\
28: Matrices and graphs / Willem H. Haemers \\
29: Digraphs and matrices / Jeffrey L. Stuart \\
30: Bipartite graphs and matrices / Bryan L. Shader \\
31: Permanents / Ian M. Wanless \\
32: D-optimal designs / Michael G. Neubauer and William
Watkins \\
33: Sign pattern matrices / Frank J. Hall and Zhongshan
Li \\
34: Multiplicity lists for the eigenvalues of symmetric
matrices with a given graph / Charles R. Johnson,
Ant{\'o}nio Leal Duarte, and Carlos M. Saiago \\
35: Matrix completion problems / Leslie Hogben and Amy
Wangsness \\
36: Algebraic connectivity / Steve Kirkland \\
III. Numerical methods \\
37: Vector and matrix norms, error analysis, efficiency
and stability / Ralph Byers and Biswa Nath Datta \\
38: Matrix factorizations, and direct solution of
linear systems / Christopher Beattie \\
39: Least squares solution of linear systems / Per
Christian Hansen and Hans Bruun Nielsen \\
40: Sparse matrix methods / Esmond G. Ng \\
41: Iterative solution methods for linear systems /
Anne Greenbaum \\
42: Symmetric matrix eigenvalue techniques / Ivan
Slapni\v car \\
43: Unsymmetric matrix eigenvalue techniques / David S.
Watkins \\
44: The implicitly restarted Arnoldi method / D. C.
Sorensen \\
45: Computation of the singular value decomposition /
Alan Kaylor Cline and Inderjit S. Dhillon \\
46: Computing eigenvalues and singular values to high
relative accuracy / Zlatko Drma{\v{c}} \\
47: Fast matrix multiplication / Dario A. Bini \\
48: Structured matrix computations / Michael Ng \\
49: Large-scale matrix computations / Roland W. Freund
\\
IV. Applications \\
50: Linear programming / Leonid S. Vaserstein \\
51: Semidefinite programming / Henry Wolkowicz \\
52: Random vectors and linear statistical models / Simo
Puntanen and George P. H. Styan \\
53: Multivariate statistical analysis / Simo Puntanen,
George A. F. Seber, and George P. H. Styan \\
54: Markov chains / Beatrice Meini \\
55: Differential equations and stability / Volker
Mehrmann and Tatjana Stykel \\
56: Dynamical systems and linear algebra / Fritz
Colonius and Wolfgang Kliemann \\
57: Control theory / Peter Benner \\
58: Fourier analysis / Kenneth Howell \\
59: Linear algebra and mathematical physics / Lorenzo
Sadun \\
60: Linear algebra in biomolecular modeling / Zhijun Wu
\\
61: Coding theory / Joachim Rosenthal and Paul Weiner
\\
62: Quantum computation / Zijian Diao \\
63: Information retrieval and web search / Amy
Langville and Carl Meyer \\
64: Signal processing / Michael Stewart \\
65: Geometry / Mark Hunacek \\
66: Some applications of matrices and graphs in
Euclidean geometry / Miroslav Fiedler \\
67: Matrix groups / Peter J. Cameron \\
68: Group representations / Randall Holmes and T. Y.
Tam \\
69: Nonassociative algebras / Murray R. Bremner, Lucia
I. Muakami and Ivan P. Shestakov \\
70: Lie algebras / Robert Wilson \\
V. Computational software \\
71: METLAB / Steven J. Leon \\
72: Linear algebra in Maple / David J. Jeffrey and
Robert M. Corless \\
73: Mathematica / Heikki Ruskeep{\"a}{\"a} \\
74: BLAS / Jack Dongarra, Victor Eijkhout, and Julien
Langou \\
75: LAPACK / Zhaojun Bai \\
76: Use of ARPACK and EIGS / D. C. Sorensen \\
77: Summary of Software for Linear Algebra Freely
Available on the Web / Jack Dongarra, Victor Eijkhout,
Julien Langou \\
G-1: Glossary \\
H-1: Notation Index",
}
@Book{King:2007:DNC,
author = "Louis Vessot King",
title = "On the Direct Numerical Calculation of Elliptic
Functions and Integrals",
publisher = "Mellon Press",
address = "",
pages = "56",
year = "2007",
ISBN = "1-4067-4226-0",
ISBN-13 = "978-1-4067-4226-8",
LCCN = "",
bibdate = "Wed Feb 03 08:53:04 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
remark = "The AGM method for Jacobian elliptic was discovered by
this book's author at McGill University in 1913, first
published in \cite{King:1921:SNF}, and then in a 1924
monograph, of which this is a reprint.",
}
@Book{McMahon:2007:MD,
author = "David (David M.) McMahon",
title = "{MATLAB} demystified",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "viii + 326",
year = "2007",
ISBN = "0-07-148551-1",
ISBN-13 = "978-0-07-148551-7",
LCCN = "QA297 .M427 2007",
bibdate = "Thu Nov 8 21:14:16 MST 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0712/2007013608-b.html;
http://www.loc.gov/catdir/enhancements/fy0712/2007013608-d.html;
http://www.loc.gov/catdir/enhancements/fy0712/2007013608-t.html",
acknowledgement = ack-nhfb,
subject = "MATLAB; Numerical analysis; Data processing",
}
@Book{Press:2007:NRA,
author = "William H. Press and Saul A. Teukolsky and William T.
Vetterling and Brian P. Flannery",
title = "Numerical Recipes --- The Art of Scientific
Computing",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
edition = "Third",
pages = "xxi + 1235",
year = "2007",
ISBN = "0-521-88068-8 (hardcover), 0-521-88407-1 (with source
code CD ROM), 0-521-70685-8 (source code CD ROM)",
ISBN-13 = "978-0-521-88068-8 (hardcover), 978-0-521-88407-5 (with
source code CD ROM), 978-0-521-70685-8 (source code CD
ROM)",
LCCN = "QA297 .N866 2007",
bibdate = "Wed Dec 15 10:40:52 1993",
bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
URL = "http://www.cambridge.org/numericalrecipes",
acknowledgement = ack-nhfb,
subject = "numerical analysis; computer programs; science;
mathematics; C++ (computer program language)",
tableofcontents = "1. Preliminaries \\
2. Solution of linear algebraic equations \\
3. Interpolation and extrapolation \\
4. Integration of functions \\
5. Evaluation of functions \\
6. Special functions \\
7. Random numbers \\
8. Sorting and selection \\
9. Root finding and nonlinear sets of equations \\
10. Minimization or maximization of functions \\
11. Eigensystems \\
12. Fast Fourier Transform \\
13. Fourier and spectral applications \\
14. Statistical description of data \\
15. Modeling of data \\
16. Classification and inference \\
17. Integration of ordinary differential equations \\
18. Two-point boundary value problems \\
19. Integral equations and inverse theory \\
20. Partial differential equations \\
21. Computational geometry \\
22. Less-numerical algorithms",
}
@Book{Strang:2007:CSE,
author = "Gilbert Strang",
title = "Computational science and engineering",
publisher = pub-WCP,
address = pub-WCP:adr,
pages = "xi + 716",
year = "2007",
ISBN = "0-9614088-1-2",
ISBN-13 = "978-0-9614088-1-7",
LCCN = "TA330 .S73 2007; TA330 .S75 2007",
bibdate = "Mon Oct 13 14:37:39 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
subject = "engineering mathematics; science; mathematics;
numerical analysis",
}
@Book{Watkins:2007:MEP,
author = "David S. Watkins",
title = "The matrix eigenvalue problem: {GR} and {Krylov}
subspace methods",
volume = "101",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "x + 442",
year = "2007",
ISBN = "0-89871-641-1",
ISBN-13 = "978-0-89871-641-2",
LCCN = "QA193 .W38 2007",
bibdate = "Thu Nov 15 14:26:45 MST 2007",
bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Other titles in applied mathematics",
acknowledgement = ack-nhfb,
libnote = "Not yet in my library.",
subject = "Eigenvalues; Invariant subspaces; Matrices",
}
@Book{White:2007:EMM,
author = "Robert E. White",
title = "Elements of matrix modeling and computing with
{MATLAB{\reg}}",
publisher = pub-CHAPMAN-HALL-CRC,
address = pub-CHAPMAN-HALL-CRC:adr,
pages = "xvi + 402",
year = "2007",
ISBN = "1-58488-627-7",
ISBN-13 = "978-1-58488-627-3",
MRclass = "65-01",
MRnumber = "MR2264523",
bibdate = "Tue Mar 30 17:06:45 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
}
@Book{Brenner:2008:MTF,
author = "Susanne C. Brenner and L. Ridgway Scott",
title = "The Mathematical Theory of Finite Element Methods",
volume = "15",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Third",
pages = "xvii + 397",
year = "2008",
DOI = "https://doi.org/10.1007/0-387-75933-6",
ISBN = "0-387-75933-6",
ISBN-13 = "978-0-387-75933-3",
LCCN = "QA379 .B74 2008",
bibdate = "Tue Apr 14 14:25:27 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Texts in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0824/2007939977-d.html;
http://www.loc.gov/catdir/enhancements/fy0824/2007939977-t.html",
acknowledgement = ack-nhfb,
subject = "Boundary value problems; Numerical solutions; Finite
element method; Mathematics",
tableofcontents = "Preface (3rd ed.) \\
Preface (2nd ed.) \\
Preface (1st ed.) \\
Basic Concepts \\
Sobolev Spaces \\
Variational Formulation of Elliptic Boundary Value
Problems \\
The Construction of a Finite Element of Space \\
Polynomial Approximation Theory in Sobolev Spaces \\
n-Dimensional Variational Problems \\
Finite Element Multigrid Methods \\
Additive Schwarz Preconditioners \\
Max-norm Estimates \\
Adaptive Meshes \\
Variational Crimes \\
Applications to Planar Elasticity \\
Mixed Methods \\
Iterative Techniques for Mixed Methods \\
Applications of Operator-Interpolation Theory \\
References \\
Index",
}
@Book{Chambers:2008:SDA,
author = "John M. Chambers",
title = "Software for data analysis: programming with {R}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 498",
year = "2008",
ISBN = "0-387-75935-2 (paperback), 0-387-75936-0 (e-book)",
ISBN-13 = "978-0-387-75935-7 (paperback), 978-0-387-75936-4
(e-book)",
LCCN = "QA276.45.R3 C43 2008",
bibdate = "Tue Sep 6 08:26:09 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/japplstat.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/s-plus.bib;
z3950.loc.gov:7090/Voyager",
series = "Statistics and computing",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Data processing; R (Computer
program language)",
}
@Book{Dahlquist:2008:NMS,
author = "Germund Dahlquist and {\AA}ke Bj{\"o}rck",
title = "Numerical Methods in Scientific Computing",
volume = "1",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxviii + 717",
year = "2008",
ISBN = "0-89871-644-6",
ISBN-13 = "978-0-89871-644-3",
LCCN = "QA297 .D335 2008",
bibdate = "Fri May 8 14:05:40 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$109.00",
URL = "http://www.ec-securehost.com/SIAM/OT103.html;
http://www.loc.gov/catdir/enhancements/fy0834/2007061806-b.html;
http://www.loc.gov/catdir/enhancements/fy0834/2007061806-d.html;
http://www.loc.gov/catdir/enhancements/fy0834/2007061806-t.html",
acknowledgement = ack-nhfb,
keywords = "MATLAB",
tableofcontents = "1. Principles of numerical calculations \\
2. How to obtain and estimate accuracy \\
3. Series, operators and continued fractions \\
4. Interpolation and approximation \\
5. Numerical integration \\
6. Solving scalar nonlinear equations.",
}
@Book{Eaton:2008:GOM,
author = "John W. Eaton and David Bateman and S{\o}ren Hauberg",
title = "{GNU} Octave manual: a high-level interactive language
for numerical computations",
publisher = "Network Theory Ltd.",
address = "Bristol, UK",
pages = "x + 555",
year = "2008",
ISBN = "0-9546120-6-X",
ISBN-13 = "978-0-9546120-6-1",
LCCN = "????",
bibdate = "Sat Jun 13 11:08:09 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/gnu.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.gbv.de:20011/gvk",
note = "Version 3 for Octave version 3.0.2, August 2008.",
price = "US\$39.95",
acknowledgement = ack-nhfb,
}
@Book{Fausett:2008:ANA,
author = "Laurene V. Fausett",
title = "Applied Numerical Analysis using {MATLAB}",
publisher = "Pearson Prentice Hall",
address = "Upper Saddle River, NJ, USA",
edition = "Second",
pages = "xiii + 673",
year = "2008",
ISBN = "0-13-239728-5",
ISBN-13 = "978-0-13-239728-5",
LCCN = "QA297 .F38 2008",
bibdate = "Wed Mar 15 06:50:49 MDT 2017",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
subject = "MATLAB; MATLAB.; Numerical analysis; Data processing;
An{\'a}lisis num{\'e}rico; Procesamiento de datos; Data
processing.",
tableofcontents = "1.1.1: Nonlinear Equations / 4 \\
1.1.2: Linear Systems / 6 \\
1.1.3: Numerical Integration / 8 \\
1.2: Useful Background / 10 \\
1.2.1: Results from Calculus / 10 \\
1.2.2: Results from Linear Algebra / 11 \\
1.2.3: A Little Information about Computers / 13 \\
1.3: Some Basic Issues / 16 \\
1.3.1: Error / 16 \\
1.3.2: Convergence / 22 \\
1.3.3: Getting Better Results / 26 \\
1.4: Using MATLAB / 31 \\
1.4.1: Command Window Computations / 31 \\
1.4.2: M-Files / 35 \\
1.4.3: Programming in MATLAB / 37 \\
1.4.4: Matrix Multiplication / 39 \\
2: Functions of One Variable / 47 \\
2.1: Bisection Method / 50 \\
2.2: Secant-Type Methods / 54 \\
2.2.1: Regula Falsi / 55 \\
2.2.2: Secant Method / 58 \\
2.2.3: Analysis / 61 \\
2.3: Newton's Method / 64 \\
2.4: Muller's Method / 71 \\
2.5: Minimization / 76 \\
2.5.1: Golden-Section Search / 76 \\
2.5.2: Brent's Method / 79 \\
2.6: Beyond the Basics / 80 \\
2.6.1: Using MATLAB's Functions / 80 \\
2.6.2: Laguerre's Method / 82 \\
2.6.3: Zeros of a Nonlinear Function / 85 \\
3: Solving Linear Systems: Direct Methods / 95 \\
3.1: Gaussian Elimination / 98 \\
3.1.2: Row Pivoting / 107 \\
3.2: Gauss-Jordan / 112 \\
3.2.1: Inverse of a Matrix / 113 \\
3.3: Tridiagonal Systems / 114 \\
3.4: Further Topics / 119 \\
3.4.1: MATLAB's Methods / 119 \\
3.4.2: Condition of a Matrix / 121 \\
3.4.3: Iterative Refinement / 123 \\
4: LU and QR Factorization / 135 \\
4.1: LU Factorization / 138 \\
4.1.1: Using Gaussian Elimination / 138 \\
4.1.2: Direct LU Factorization / 146 \\
4.1.3: Applications / 150 \\
4.2: Matrix Transformations / 154 \\
4.2.1: Householder Transformation / 155 \\
4.2.2: Givens Rotations / 162 \\
4.3: QR Factorization / 164 \\
4.3.1: Using Householder Transformations / 164 \\
4.3.2: Using Givens Rotations / 166 \\
4.4: Beyond the Basics / 168 \\
4.4.1: LU Factorization with Implicit Row Pivoting /
168 \\
4.4.2: Efficient Conversion to Hessenberg Form / 170
\\
4.4.3: Using MATLAB's Functions / 171 \\
5: Eigenvalues and Eigenvectors / 179 \\
5.1: Power Method / 182 \\
5.1.1: Basic Power Method / 183 \\
5.1.2: Rayleigh Quotient / 186 \\
5.1.3: Shifted Power Method / 188 \\
5.1.4: Accelerating Convergence / 189 \\
5.2: Inverse Power Method / 190 \\
5.2.1: General Inverse Power Method / 192 \\
5.2.2: Convergence / 193 \\
5.3: QR Method / 194 \\
5.3.1: Basic QR Method / 194 \\
5.3.2: Better QR Method / 196 \\
5.3.3: Finding Eigenvectors / 198 \\
5.3.4: Accelerating Convergence / 199 \\
5.4: Further Topics / 202 \\
5.4.1: Singular Value Decomposition / 202 \\
5.4.2: MATLAB's Methods / 203 \\
6: Solving Linear Systems: Iterative Methods / 213 \\
6.1: Jacobi Method / 217 \\
6.2: Gauss-Seidel Method / 224 \\
6.3: Successive Over-Relaxation / 228 \\
6.4: Beyond the Basics / 232 \\
6.4.1: MATLAB's Built-in Functions / 232 \\
6.4.2: Conjugate Gradient Methods / 234 \\
6.4.3: GMRES / 238 \\
6.4.4: Simplex Method / 240 \\
7: Nonlinear Functions of Several Variables / 251 \\
7.1: Nonlinear Systems / 254 \\
7.1.1: Newton's Method / 254 \\
7.1.2: Secant Methods / 260 \\
7.1.3: Fixed-Point Iteration / 262 \\
7.2: Minimization / 264 \\
7.2.1: Descent Methods / 264 \\
7.2.2: Quasi-Newton Methods / 266 \\
7.3: Further Topics / 268 \\
7.3.1: Levenberg-Marquardt Method / 268 \\
7.3.2: Nelder-Mead Simplex Search / 269 \\
8: Interpolation / 275 \\
8.1: Polynomial Interpolation / 278 \\
8.1.1: Lagrange Form / 278 \\
8.1.2: Newton Form / 284 \\
8.1.3: Difficulties / 290 \\
8.2: Hermite Interpolation / 294 \\
8.3: Piecewise Polynomial Interpolation / 299 \\
8.3.1: Piecewise Linear Interpolation / 300 \\
8.3.2: Piecewise Quadratic Interpolation / 301 \\
8.3.3: Piecewise Cubic Hermite Interpolation / 304 \\
8.3.4: Cubic Spline Interpolation / 305 \\
8.4: Beyond the Basics / 312 \\
8.4.1: Rational-Function Interpolation / 312 \\
8.4.2: Using MATLAB's Functions / 316 \\
9: Approximation / 333 \\
9.1: Least-Squares Approximation / 336 \\
9.1.1: Approximation by a Straight Line / 336 \\
9.1.2: Approximation by a Parabola / 342 \\
9.1.3: General Least-Squares Approximation / 346 \\
9.1.4: Approximation for Other Functional Forms / 348
\\
9.2: Continuous Least-Squares Approximation / 350 \\
9.2.1: Approximation Using Powers of x / 350 \\
9.2.2: Orthogonal Polynomials / 352 \\
9.2.3: Legendre Polynomials / 354 \\
9.2.4: Chebyshev Polynomials / 356 \\
9.3: Function Approximation at a Point / 358 \\
9.3.1: Pade Approximation / 358 \\
9.3.2: Taylor Approximation / 361 \\
9.4: Further Topics / 362 \\
9.4.1: Bezier Curves / 362 \\
9.4.2: Using MATLAB's Functions / 364 \\
10: Fourier Methods / 373 \\
10.1: Fourier Approximation and Interpolation / 376 \\
10.1.1: Derivation / 381 \\
10.1.2: Data on Other Intervals / 384 \\
10.2: Radix-2 Fourier Transforms / 386 \\
10.2.1: Discrete Fourier Transform / 386 \\
10.2.2: Fast Fourier Transform / 387 \\
10.2.3: Matrix Form of FFT / 388 \\
10.2.4: Algebraic Form of FFT / 389 \\
10.3: Mixed-Radix FFT / 392 \\
10.4: Using MATLAB's Functions / 396 \\
11: Numerical Differentiation and Integration / 405 \\
11.1: Differentiation / 408 \\
11.1.1: First Derivatives / 408 \\
11.1.2: Higher Derivatives / 412 \\
11.1.3: Partial Derivatives / 413 \\
11.1.4: Richardson Extrapolation / 414 \\
11.2: Numerical Integration / 416 \\
11.2.1: Trapezoid Rule / 417 \\
11.2.2: Simpson's Rule / 420 \\
11.2.3: Newton-Cotes Open Formulas / 426 \\
11.2.4: Extrapolation Methods / 428 \\
11.3: Quadrature / 431 \\
11.3.1: Gaussian Quadrature / 431 \\
11.3.2: Other Gauss-Type Quadratures / 435 \\
11.4: MATLAB's Methods / 437 \\
11.4.1: Differentiation / 437 \\
11.4.2: Integration / 437 \\
12: Ordinary Differential Equations: Fundamentals / 445
\\
12.1: Euler's Method / 447 \\
12.1.1: Geometric Introduction / 447 \\
12.1.2: Approximating the Derivative / 448 \\
12.1.3: Approximating the Integral / 449 \\
12.1.4: Using Taylor Series / 451 \\
12.2: Runge-Kutta Methods / 452 \\
12.2.1: Second-Order Runge-Kutta Methods / 452 \\
12.2.2: Third-Order Runge-Kutta Methods / 457 \\
12.2.3: Classic Runge-Kutta Method / 459 \\
12.2.4: Fourth-Order Runge-Kutta Methods / 462 \\
12.2.5: Fifth-Order Runge-Kutta Methods / 464 \\
12.2.6: Runge-Kutta-Fehlberg Methods / 465 \\
12.3: Multistep Methods / 474 \\
12.3.1: Adams-Bashforth Methods / 476 \\
12.3.2: Adams-Moulton Methods / 479 \\
12.3.3: Adams Predictor-Corrector Methods / 480 \\
12.3.4: Other Predictor-Corrector Methods / 485 \\
12.4: Further Topics / 487 \\
12.4.1: MATLAB's Methods / 487 \\
12.4.2: Consistency and Convergence / 488 \\
13: ODE: Systems, Stiffness, Stability / 499 \\
13.1: Systems / 502 \\
13.1.1: Systems of Two ODE / 504 \\
13.1.2: Euler's Method for Systems / 510 \\
13.1.3: Runge-Kutta Methods for Systems / 512 \\
13.1.4: Multistep Methods for Systems / 516 \\
13.1.5: Second-Order ODE / 522 \\
13.2: Stiff ODE / 526 \\
13.2.1: BDF Methods / 527 \\
13.2.2: Implicit Runge-Kutta Methods / 529 \\
13.3: Stability / 530 \\
13.3.1: A-Stable and Stiffly Stable Methods / 532 \\
13.3.2: Stability in the Limit / 533 \\
13.4: Further Topics / 536 \\
13.4.1: MATLAB's Methods for Stiff ODE / 536 \\
13.4.2: Extrapolation Methods / 537 \\
13.4.3: Rosenbrock Methods / 539 \\
13.4.4: Multivalue Methods / 539 \\
14: ODE: Boundary-Value Problems / 561 \\
14.1: Shooting Method / 565 \\
14.1.1: Linear ODE / 565 \\
14.1.2: Nonlinear ODE / 570 \\
14.2: Finite-Difference Method / 576 \\
14.2.1: Linear ODE / 576 \\
14.2.2: Nonlinear ODE / 580 \\
14.3: Function Space Methods / 582 \\
14.3.1: Collocation / 582 \\
14.3.2: Rayleigh-Ritz / 586 \\
15: Partial Differential Equations / 593 \\
15.1: Heat Equation: Parabolic PDE / 598 \\
15.1.1: Explicit Method / 599 \\
15.1.2: Implicit Method / 604 \\
15.1.3: Crank-Nicolson Method / 608 \\
15.1.4: Insulated Boundary / 611 \\
15.2: Wave Equation: Hyperbolic PDE / 612 \\
15.2.1: Explicit Method / 614 \\
15.2.2: Implicit Method / 616 \\
15.3: Poisson Equation: Elliptic PDE / 618 \\
15.4: Finite-Element Method for Elliptic PDE / 622 \\
15.4.1: Defining the Subregions / 623 \\
15.4.2: Defining the Basis Functions / 624 \\
15.4.3: Computing the Coefficients / 626 \\
15.4.4: Using MATLAB / 629",
}
@Book{Gal:2008:SPA,
author = "Sorin G. Gal",
title = "Shape-preserving approximation by real and complex
polynomials",
publisher = pub-BIRKHAUSER-BOSTON,
address = pub-BIRKHAUSER-BOSTON:adr,
pages = "xiii + 352",
year = "2008",
ISBN = "0-8176-4702-3, 0-8176-4703-1",
ISBN-13 = "978-0-8176-4702-5, 978-0-8176-4703-2",
LCCN = "QA221 .G34 2008",
bibdate = "Tue May 6 13:03:37 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.springer.com/birkhauser/mathematics/book/978-0-8176-4702-5",
acknowledgement = ack-nhfb,
libnote = "Not in my library.",
subject = "approximation theory; Bernstein polynomials;
multivariate analysis; polynomial approximation",
}
@Book{Gilat:2008:NME,
author = "Amos Gilat and Vish Subramaniam",
title = "Numerical methods for engineers and scientists: an
introduction with applications using {MATLAB}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Second",
pages = "xx + 459",
year = "2008",
ISBN = "0-471-73440-3",
ISBN-13 = "978-0-471-73440-6",
LCCN = "QA297 .G49 2008",
bibdate = "Sat Jun 13 11:09:34 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0835/2008299899-b.html;
http://www.loc.gov/catdir/enhancements/fy0835/2008299899-d.html;
http://www.loc.gov/catdir/enhancements/fy0835/2008299899-t.html",
acknowledgement = ack-nhfb,
subject = "MATLAB; Numerical analysis; Data processing;
Engineering mathematics",
}
@Book{Griewank:2008:EDP,
author = "Andreas Griewank and Andrea Walther",
title = "Evaluating derivatives: principles and techniques of
algorithmic differentiation",
publisher = pub-SIAM,
address = pub-SIAM:adr,
edition = "Second",
pages = "xxi + 438",
year = "2008",
ISBN = "0-89871-659-4",
ISBN-13 = "978-0-89871-659-7",
LCCN = "QA304 .G76 2008",
bibdate = "Fri Nov 16 09:30:45 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/toc/ecip0818/2008021064.html",
abstract = "This title is a comprehensive treatment of
algorithmic, or automatic, differentiation. The second
edition covers recent developments in applications and
theory, including an elegant NP completeness argument
and an introduction to scarcity.",
acknowledgement = ack-nhfb,
subject = "Differential calculus; Data processing",
tableofcontents = "Introduction \\
A framework for evaluating functions \\
Fundamentals of forward and reverse \\
Memory issues and complexity bounds \\
Repeating and extending reverse \\
Implementation and software \\
Sparse forward and reverse \\
Exploiting sparsity by compression \\
Going beyond forward and reverse \\
Jacobian and Hessian accumulation \\
Observations on efficiency \\
Reversal schedules and checkpointing \\
Taylor and tensor coefficients \\
Differentiation without differentiability \\
Implicit and iterative differentiation \\
Epilogue",
}
@Book{Hand:2008:SVS,
author = "David J. Hand",
title = "Statistics: a very short introduction",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "124",
year = "2008",
ISBN = "0-19-923356-X",
ISBN-13 = "978-0-19-923356-4",
LCCN = "????",
bibdate = "Tue Sep 6 08:59:40 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/japplstat.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
abstract = "Statistical ideas and methods underlie just about
every aspect of modern life. From randomized clinical
trials in medical research, to statistical models of
risk in banking and hedge fund industries, to the
statistical tools used to probe vast astronomical
databases, the field of statistics has become centrally
important to how we understand our world. But the
discipline underlying all these is not the dull
statistics of the popular imagination. Long gone are
the days of manual arithmetic manipulation. Nowadays
statistics is a dynamic discipline, revolutionized by
the computer, which uses advanced software tools to
probe numerical data, seeking structures, patterns, and
relationships. This Very Short Introduction sets the
study of statistics in context, describing its history
and giving examples of its impact, summarizes methods
of gathering and evaluating data, and explains the role
played by the science of chance, of probability, in
statistical methods. The book also explores deep
philosophical issues of induction-how we use statistics
to discern the true nature of reality from the limited
observations we necessarily must make.",
acknowledgement = ack-nhfb,
tableofcontents = "Preface \\
List of illustrations \\
1: Surrounded by statistics \\
2: Simple descriptions \\
3: Collecting good data \\
4: Probability \\
5: Estimation and inference \\
6: Statistical models and methods \\
7: Statistical computing \\
Further reading \\
Endnote \\
Index",
}
@Book{Higham:2008:FMT,
author = "Nicholas J. Higham",
title = "Functions of Matrices: Theory and Computation",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xx + 425",
year = "2008",
DOI = "https://doi.org/10.1137/1.9780898717778",
ISBN = "0-89871-646-2",
ISBN-13 = "978-0-89871-646-7",
MRclass = "15-02 (93B40 93C05)",
MRnumber = "MR2396439 (2009b:15001)",
MRreviewer = "Daniel Kressner",
bibdate = "Wed May 19 16:25:33 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Theory and computation",
acknowledgement = ack-nhfb,
}
@Book{Langtangen:2008:PSC,
author = "Hans Petter Langtangen",
title = "{Python} Scripting for Computational Science",
volume = "3",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Third",
pages = "xxiv + 750",
year = "2008",
DOI = "https://doi.org/10.1007/978-3-540-73916-6",
ISBN = "3-540-73915-7, 3-540-73916-5",
ISBN-13 = "978-3-540-73915-9, 978-3-540-73916-6",
LCCN = "????",
bibdate = "Thu Apr 16 11:07:58 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/python.bib;
z3950.gbv.de:20011/gvk",
series = "Springer eBook Collection Mathematics and Statistics
[Dig. Serial]; Springer-11649 [Dig. Serial]; Texts in
Computational Science and Engineering",
acknowledgement = ack-nhfb,
subject = "Computer science; Engineering; Physics; Software
engineering; Mathematics; Computational Science and
Engineering; Numerical and Computational Methods;
Numerical and Computational Methods in Engineering;
Software Engineering/Programming and Operating
Systems",
}
@Book{Moler:2008:NCM,
author = "Cleve B. Moler",
title = "Numerical computing with {MATLAB}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
edition = "Second",
pages = "xi + 336",
year = "2008",
ISBN = "0-89871-660-8 (hardcover), 0-89871-560-1 (paperback),
0-89871-795-7 (e-book)",
ISBN-13 = "978-0-89871-660-3 (hardcover), 978-0-89871-560-6
(paperback), 978-0-89871-795-2 (e-book)",
LCCN = "QA297 .M625 2008",
bibdate = "Fri Jul 8 17:59:27 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "This is a lively textbook for an introductory course
in numerical methods, MATLAB and technical computing,
which emphasises the informed use of mathematical
software. \booktitle{Numerical Computing with MATLAB}
helps readers learn about the mathematical functions in
MATLAB, how to appreciate their limitations, and how to
use and modify them appropriately. The book makes
extensive use of computer graphics, and provides more
than 70 M-files, which can be downloaded from the text
website www.mathworks.com/moler. Many of the numerous
exercises involve modifying and extending these
programs. The theory can be adapted to apply to modern
problems from cryptography, touch-tone dialing, Google
page-ranking, atmospheric science and image processing,
as well as classical problems from physics and
engineering. This book will appeal to advanced
undergraduate and beginning graduate students in
science and engineering. This revision includes changes
and corrections made since the book was originally
published in 2004.",
acknowledgement = ack-nhfb,
tableofcontents = "Preface \\
1: Introduction to MATLAB \\
2: Linear equations \\
3: Interpolation \\
4: Zeros and roots \\
5: Least squares \\
6: Quadrature \\
7: Ordinary differential equations \\
8: Fourier analysis \\
9: Random numbers \\
10: Eigenvalues and singular values \\
11: Partial differential equations \\
Bibliography \\
Index",
}
@Book{Vandebril:2008:MCS,
author = "Raf Vandebril and Marc van Barel and Nicola
Mastronardi",
title = "Matrix Computations and Semiseparable Matrices",
publisher = pub-JOHNS-HOPKINS,
address = pub-JOHNS-HOPKINS:adr,
pages = "xviii + 575 (vol. 1), xvi + 498 (vol. 2)",
year = "2008",
ISBN = "0-8018-8714-3 (vol. 1, hardcover), 0-8018-9052-7 (vol.
2)",
ISBN-13 = "978-0-8018-8714-7 (vol. 1, hardcover),
978-0-8018-9052-9 (vol. 2)",
LCCN = "QA188 .V36 2008",
bibdate = "Tue May 5 16:11:45 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0740/2007030657-b.html;
http://www.loc.gov/catdir/enhancements/fy0740/2007030657-d.html;
http://www.loc.gov/catdir/toc/ecip0723/2007030657.html",
abstract = "The general properties and mathematical structures of
semiseparable matrices were presented in volume 1 of
\booktitle{Matrix Computations and Semiseparable
Matrices}. In volume 2, Raf Vandebril, Marc Van Barel,
and Nicola Mastronardi discuss the theory of structured
eigenvalue and singular value computations for
semiseparable matrices. These matrices have hidden
properties that allow the development of efficient
methods and algorithms to accurately compute the matrix
eigenvalues. This thorough analysis of semiseparable
matrices explains their theoretical underpinnings and
contains a wealth of information on implementing them
in practice. Many of the routines featured are coded in
Matlab and can be downloaded from the Web for further
exploration.",
acknowledgement = ack-nhfb,
author-dates = "1978--",
seriestableofcontents = "Vol. 1. Linear systems; Vol. 2: Eigenvalue
and singular value methods",
subject = "Semiseparable matrices; Matrices; Data processing;
Numerical analysis",
}
@Book{Attaway:2009:MPI,
author = "Stormy Attaway",
title = "{MATLAB}: a practical introduction to programming and
problem solving",
publisher = "Butterworth-Heinemann",
address = "Amsterdam, The Netherlands",
pages = "xx + 452",
year = "2009",
ISBN = "0-7506-8762-2 (paperback)",
ISBN-13 = "978-0-7506-8762-1 (paperback)",
LCCN = "QA297 .A87 2009",
bibdate = "Thu May 3 08:09:02 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Data processing; MATLAB; Computer
programming",
}
@Book{Bernstein:2009:MMT,
author = "Dennis S. Bernstein",
title = "Matrix Mathematics: Theory, Facts, and Formulas",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
edition = "Second",
pages = "xlii + 1139",
year = "2009",
ISBN = "0-691-13287-9 (hardcover), 0-691-14039-1 (paperback),
1-4008-3334-5 (e-book)",
ISBN-13 = "978-0-691-13287-7 (hardcover), 978-0-691-14039-1
(paperback), 978-1-4008-3334-4 (e-book)",
LCCN = "QA188 .B475 2009; QA188 .B475X 2009 (LC)",
MRclass = "93-02 (15-01 93B52 93C05)",
MRnumber = "2513751 (2010e:93001)",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
prodorbis.library.yale.edu:7090/voyager;
z3950.loc.gov:7090/Voyager",
URL = "http://www.jstor.org/stable/10.2307/j.ctt7t833;
http://www.loc.gov/catdir/toc/ecip0826/2008036257.html",
abstract = "When first published in 2005, \booktitle{Matrix
Mathematics} quickly became the essential reference
book for users of matrices in all branches of
engineering, science, and applied mathematics. In this
fully updated and expanded edition, the author brings
together the latest results on matrix theory to make
this the most complete, current, and easy-to-use book
on matrices. Each chapter describes relevant background
theory followed by specialized results. Hundreds of
identities, inequalities, and matrix facts are stated
clearly and rigorously with cross references, citations
to the literature, and illuminating remarks. Beginning
with preliminaries on sets, functions, and relations,
\booktitle{Matrix Mathematics} covers all of the major
topics in matrix theory, including matrix
transformations; polynomial matrices; matrix
decompositions; generalized inverses; Kronecker and
Schur algebra; positive-semidefinite matrices; vector
and matrix norms; the matrix exponential and stability
theory; and linear systems and control theory. Also
included are a detailed list of symbols, a summary of
notation and conventions, an extensive bibliography and
author index with page references, and an exhaustive
subject index. This significantly expanded edition of
\booktitle{Matrix Mathematics} features a wealth of new
material on graphs, scalar identities and inequalities,
alternative partial orderings, matrix pencils, finite
groups, zeros of multivariable transfer functions,
roots of polynomials, convex functions, and matrix
norms. Covers hundreds of important and useful results
on matrix theory, many never before available in any
book. Provides a list of symbols and a summary of
conventions for easy use. Includes an extensive
collection of scalar identities and inequalities.
Features a detailed bibliography and author index with
page references. Includes an exhaustive subject index
with cross-referencing.",
acknowledgement = ack-nhfb # " and " # ack-rah,
author-dates = "1954--",
subject = "Matrices; Linear systems",
tableofcontents = "1: Preliminaries / 1 \\
2: Basic Matrix Properties / 85 \\
3: Matrix Classes and Transformations / 179 \\
4: Polynomial Matrices and Rational Transfer Functions
/ 253 \\
5: Matrix Decompositions / 309 \\
6: Generalized Inverses / 397 \\
7: Kronecker and Schur Algebra / 439 \\
8: Positive-Semidefinite Matrices / 459 \\
9: Norms / 597 \\
10: Functions of Matrices and Their Derivatives / 681
\\
11: The Matrix Exponential and Stability Theory / 707
\\
12: Linear Systems and Control Theory / 795 \\
Bibliography / 881 \\
Author Index / 967 \\
Index / 979",
}
@Book{Bober:2009:NAM,
author = "William Bober and Chi-Tay Tsai and Oren Masory",
title = "Numerical and analytical methods with {MATLAB{\reg}}",
publisher = pub-CRC,
address = pub-CRC:adr,
pages = "viii + 452",
year = "2009",
ISBN = "1-4200-9356-8",
ISBN-13 = "978-1-4200-9356-8",
MRclass = "65-01",
MRnumber = "MR2562715",
bibdate = "Tue Mar 30 17:06:44 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "CRC Series in Computational Mechanics and Applied
Analysis",
acknowledgement = ack-nhfb,
}
@Book{Bochev:2009:LSF,
editor = "Pavel B. Bochev and Max D. Gunzburger",
title = "Least-squares finite element methods",
volume = "166",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxii + 660",
year = "2009",
DOI = "https://doi.org/10.1007/0-387-30888-1",
ISBN = "0-387-30888-1",
ISBN-13 = "978-0-387-30888-3",
LCCN = "QA1 .A647 vol. 166",
bibdate = "Thu Nov 27 10:25:41 MST 2008",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.kb.dk:2100/KGL01",
series = "Applied Mathematical Sciences",
acknowledgement = ack-nhfb,
subject = "least squares; finite element method; partial
differential equations",
}
@Book{Campbell:2009:GIL,
author = "S. L. (Stephen La Vern) Campbell and C. D. (Carl Dean)
{Meyer, Jr.}",
title = "Generalized Inverses of Linear Transformations",
volume = "56",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xx + 272",
year = "2009",
DOI = "https://doi.org/10.1137/1.9780898719048",
ISBN = "0-89871-671-3, 0-89871-904-6 (e-book)",
ISBN-13 = "978-0-89871-671-9, 978-0-89871-904-8 (e-book)",
LCCN = "QA188 .C36 2009",
bibdate = "Fri Nov 21 08:24:15 MST 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Classics in applied mathematics",
URL = "http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl56;
http://www.loc.gov/catdir/enhancements/fy0916/2008046428-b.html;
http://www.loc.gov/catdir/enhancements/fy0916/2008046428-d.html;
http://www.loc.gov/catdir/enhancements/fy0916/2008046428-t.html",
abstract = "Generalized (or pseudo-) inverse concepts routinely
appear throughout applied mathematics and engineering,
in both research literature and textbooks. Although the
basic properties are readily available, some of the
more subtle aspects and difficult details of the
subject are not well documented or understood. First
published in 1979, \booktitle{Generalized Inverses of
Linear Transformations} remains up-to-date and
readable, and it includes chapters on Markov chains and
the Drazin inverse methods that have become significant
to many problems in applied mathematics. The book
provides comprehensive coverage of the mathematical
theory of generalized inverses coupled with a wide
range of important and practical applications that
includes topics in electrical and computer engineering,
control and optimization, computing and numerical
analysis, statistical estimation, and stochastic
processes. Audience: intended for use as a reference by
applied scientists and engineers.",
acknowledgement = ack-nhfb,
remark = "Originally published: London: Pitman Pub., 1979.",
subject = "Matrix inversion; Transformations (Mathematics);
Matrix inversion.; Transformations (Mathematics)",
tableofcontents = "Introduction and other preliminaries \\
The Moore--Penrose or generalized inverse \\
Least squares solutions \\
Sums, partitioned matrices and the constrained
generalized inverse \\
Partial isometries and EP matrices \\
The generalized inverse in electrical engineering \\
$(i, j, k)$-Generalized inverses and linear estimation
\\
The Drazin inverse \\
Applications of the Drazin inverse to the theory of
finite Markov chains \\
Applications of the Drazin inverse \\
Continuity of the generalized inverse \\
Linear programming \\
Computational concerns",
}
@Book{Ipsen:2009:NMA,
author = "Ilse C. F. Ipsen",
title = "Numerical matrix analysis",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xiv + 128",
year = "2009",
ISBN = "0-89871-676-4",
ISBN-13 = "978-0-89871-676-4",
LCCN = "QA275 .I67 2009",
MRclass = "65-02 (65Fxx)",
MRnumber = "2531958 (2010h:65003)",
bibdate = "Wed Aug 24 09:34:49 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/i/ipsen-ilse-c-f.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
URL = "http://www.loc.gov/catdir/enhancements/fy0912/2009008514-b.htm;
http://www.loc.gov/catdir/enhancements/fy0912/2009008514-d.htm;
http://www.loc.gov/catdir/enhancements/fy0912/2009008514-t.htm",
acknowledgement = ack-nhfb,
subject = "least squares; linear systems; matrices",
tableofcontents = "Matrices \\
Sensitivity, errors, and norms \\
Linear systems \\
Singular value decomposition \\
Least square problems \\
Subspaces",
}
@Book{Iserles:2009:FCN,
author = "Arieh Iserles",
title = "A first course in the numerical analysis of
differential equations",
volume = "44",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
edition = "Second",
pages = "viii + 459",
year = "2009",
ISBN = "0-521-73490-8 (paperback)",
ISBN-13 = "978-0-521-73490-5 (paperback)",
LCCN = "QA371 .I813 2009",
bibdate = "Thu Mar 5 17:52:34 MST 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
library.ox.ac.uk:210/ADVANCE",
price = "US\$29.99",
series = "Cambridge texts in applied mathematics",
acknowledgement = ack-nhfb,
subject = "Differential equations; Numerical solutions",
tableofcontents = "Preface to the first edition \\
Preface to the second edition \\
Flowchart of contents \\
Part I. Ordinary differential equations \\
1. Euler's method and beyond \\
2. Multistep methods \\
3. Runge--Kutta methods \\
4. Stiff equations \\
5. Geometric numerical integration \\
6. Error control \\
7. Nonlinear algebraic systems \\
Part II. The Poisson equation \\
8. Finite difference schemes \\
9. The finite element method \\
10. Spectral methods \\
11. Gaussian elimination for sparse linear equations
\\
12. Classical iterative methods for sparse linear
equations \\
13. Multigrid techniques \\
14. Conjugate gradients \\
15. Fast Poisson solvers \\
Part III. Partial differential equations of evolution:
16. The diffusion equation \\
17. Hyperbolic equations \\
Appendix. Bluffer's guide to useful mathematics \\
A.1. Linear algebra \\
A.2. Analysis \\
Bibliography \\
Index",
}
@Book{Kincaid:2009:NAM,
author = "David (David Ronald) Kincaid and E. W. (Elliott Ward)
Cheney",
title = "Numerical analysis: mathematics of scientific
computing",
volume = "2",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Third",
pages = "xiv + 788",
year = "2009",
ISBN = "0-8218-4788-0",
ISBN-13 = "978-0-8218-4788-6",
LCCN = "QA297 .K563 2009",
bibdate = "Thu Sep 25 08:41:42 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "The Sally series; Pure and applied undergraduate
texts",
URL = "http://www.loc.gov/catdir/toc/fy0906/2008047389.html",
abstract = "This book introduces students with diverse backgrounds
to various types of mathematical analysis that are
commonly needed in scientific computing. The subject of
numerical analysis is treated from a mathematical point
of view, offering a complete analysis of methods for
scientific computing with appropriate motivations and
careful proofs.\par
In an engaging and informal style, the authors
demonstrate that many computational procedures and
intriguing questions of computer science arise from
theorems and proofs. Algorithms are presented in
pseudocode, so that students can immediately write
computer programs in standard languages or use
interactive mathematical software packages. This book
occasionally touches upon more advanced topics that are
not usually contained in standard textbooks at this
level.",
acknowledgement = ack-nhfb,
remark = "Originally published: 3rd ed. Pacific Grove, CA :
Brooks/Cole, 2002.",
remark = "Originally published: 3rd ed. Pacific Grove, CA :
Brooks/Cole, c2002.",
subject = "Numerical analysis",
subject = "Numerical analysis; Wissenschaftliches Rechnen.;
Numerische Mathematik.; Numerische Mathematik.;
Numerical analysis.",
tableofcontents = "1. Mathematical Preliminaries \\
2. Computer Arithmetic \\
3. Solution of Nonlinear Equations \\
4. Solving Systems of Linear Equations \\
5. Selected Topics in Numerical Linear Algebra \\
6. Approximating Functions \\
7. Numerical Differentiation and Integration \\
8. Numerical Solution of Ordinary Differential
Equations \\
9. Numerical Solution of Partial Differential Equations
\\
10. Linear Programming and Related Topics \\
11. Optimization \\
Appendix A. Overview of Mathematical Software",
}
@Book{Klemens:2009:MDT,
author = "Ben Klemens",
title = "Modeling with data: tools and techniques for
scientific computing",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "xiii + 454",
year = "2009",
ISBN = "0-691-13314-X (hardcover)",
ISBN-13 = "978-0-691-13314-0 (hardcover)",
LCCN = "QA276 .K546 2009",
bibdate = "Tue Sep 6 08:29:35 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/japplstat.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/toc/ecip0821/2008028341.htm",
acknowledgement = ack-nhfb,
subject = "mathematical statistics; mathematical models",
}
@Book{Mallat:2009:WTS,
author = "S. G. (St{\'e}phane G.) Mallat",
title = "A Wavelet Tour of Signal Processing: The Sparse Way",
publisher = pub-ELSEVIER-ACADEMIC,
address = pub-ELSEVIER-ACADEMIC:adr,
edition = "Third",
pages = "xx + 805",
year = "2009",
ISBN = "0-12-374370-2",
ISBN-13 = "978-0-12-374370-1",
LCCN = "TK5102.9 .M34 2009",
bibdate = "Thu May 7 16:04:20 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
subject = "signal processing; mathematics; wavelets
(mathematics)",
tableofcontents = "Sparse representations \\
Fourier kingdom \\
Discrete revolution \\
Time meets frequency \\
Frames \\
Wavelet zoom \\
Wavelet bases \\
Wavelet packet and local cosine bases \\
Approximations in bases \\
Compression \\
Denoising \\
Sparsity in redundant dictionaries \\
Inverse problems \\
Mathematical complements \\
Bibliography \\
Index",
}
@Book{Moore:2009:IIA,
author = "Ramon E. Moore and R. Baker Kearfott and Michael J.
Cloud",
title = "Introduction to interval analysis",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xii + 223",
year = "2009",
ISBN = "0-89871-669-1",
ISBN-13 = "978-0-89871-669-6",
LCCN = "QA297.75 .M656 2009",
MRclass = "65G40",
MRnumber = "2482682 (2010d:65106)",
MRreviewer = "G. Alefeld",
bibdate = "Mon Aug 23 19:25:57 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kearfott-r-baker.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
URL = "http://www.loc.gov/catdir/enhancements/fy0906/2008042348-b.html;
http://www.loc.gov/catdir/enhancements/fy0906/2008042348-d.html;
http://www.loc.gov/catdir/enhancements/fy0906/2008042348-t.html",
ZMnumber = "1168.65002",
abstract = "The use of interval analysis has steadily increased
over the past 40 years. This development was taken into
account when writing the present book. It presents the
basics in real interval arithmetic and covers
elementary methods for verifying and enclosing zeros of
functions, global minimizers, solutions of integral and
differential equations. It deals with integration of
interval functions and shows how interval methods can
be applied in various fields of science. Moreover, an
introduction into the interval toolbox INTLAB of MATLAB
is given in order to understand the many programs which
realize the algorithms of the book. Numerous examples
illustrate the theory and are spread over more than 220
pages.\par
The book starts with a short introduction on the
necessity of enclosures and on bounding roundoff
errors. The interval number system is presented in
Chapter 2 including set theoretic operations as well as
order relations and operations for intervals, interval
vectors, and interval matrices. Some historical
references are added. Chapter 3 discusses the problem
of computing with inexact initial data and therefore
results in first applications of interval arithmetic.
It considers outwardly rounded interval arithmetic and
gives a first glance to INTLAB. Chapter 4 is devoted to
algebraic properties of interval arithmetic, to
symmetric intervals and to inclusion isotonicity.
Interval functions are introduced in Chapter 5
including elementary interval functions and
interval-valued extensions of real functions together
with fundamental properties.\par
The topological side of intervals and of interval
arithmetic is considered in Chapter 6. Equipped with
the Hausdorff metric the set of intervals turns out to
be a complete metric space for which convergence and
continuity can be defined in the usual way. Nested
interval sequences, finite convergence, refinement of
interval extensions, and various centered forms are
additional topics of this chapter which is concluded by
the Skelboe--Moore algorithm. This algorithm is a
prototype of a branch-and-bound algorithm applied in
global optimization. Interval matrices form the subject
of the succeeding Chapter 7, where linear systems with
inexact input data are also discussed. In this
connection the Krawczyk method is mentioned as well as
the interval Gauss--Seidel method and Gaussian
elimination.\par
Nonlinear equations are studied in Chapter 8. Here the
interval Newton method is commented, and cases are
presented which imply the necessity of an extended
interval arithmetic. For systems of nonlinear equations
the Krawczyk method and multivariate interval Newton
methods are applied and safe starting intervals are
defined. Chapter 9 is devoted to the integration of
interval functions, particularly of interval
polynomials since for sufficiently smooth functions $f$
a Taylor expansion is used to construct an enclosure
for $f$. Therefore, automatic differentiation and
automatic generation of Taylor coefficients are also
handled in order to find enclosures for definite
integrals -- also multiple ones -- over $f$. A short
chapter lists some ideas for verifying and enclosing
solutions of integral equations, initial value
problems, and boundary value problems. Some literature
for partial differential equations is added. The final
Chapter 11 gives a first impression of how the tool
`interval analysis' is applied in practice. Problems
are listed which use computer-assisted proofs based on
interval arithmetic. A prototypical algorithm is
discussed for global optimization. Numerous examples
from engineering are mentioned.\par
An appendix covers a variety of topics: Sets and
functions, a formulary for intervals, hints for
selected exercises, Internet resources, and INTLAB
commands and functions. More than 250 references
conclude a wonderful book which is written for all who
are interested in scientific computation, in its
reliability, and in automatic verification of
results.",
acknowledgement = ack-nhfb,
keywords = "automatic differentiation; automatic verification of
results; boundary value problems; branch-and-bound
algorithm; computer-assisted proofs; convergence;
initial value problems; integral equations; interval
analysis; interval arithmetic; interval functions;
interval matrices; interval Newton method; interval
sequences; INTLAB; Krawczyk method; numerical examples;
roundoff errors; scientific computation; Skelboe--Moore
algorithm",
tableofcontents = "Introduction \\
The interval number system \\
First applications of interval arithmetic \\
Further properties of interval arithmetic \\
Introduction to interval function \\
Interval sequences \\
Interval matrices \\
Interval Newton methods \\
Integration of interval functions \\
Integral and differential equations \\
Applications",
}
@Book{OLeary:2009:SCC,
author = "Dianne P. O'Leary",
title = "Scientific Computing with Case Studies",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xvi + 383",
year = "2009",
ISBN = "0-89871-666-7",
ISBN-13 = "978-0-89871-666-5",
LCCN = "QA401 .O44 2009",
bibdate = "Fri Nov 16 09:57:11 MST 2012",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0906/2008031493-b.html;
http://www.loc.gov/catdir/enhancements/fy0906/2008031493-d.html;
http://www.loc.gov/catdir/enhancements/fy0906/2008031493-t.html",
acknowledgement = ack-nhfb,
subject = "Mathematical models; Data processing; Case studies",
tableofcontents = "Preface \\
Part I. Preliminaries: Mathematical Modeling, Errors,
Hardware, and Software \\
1. Errors and arithmetic \\
2. Sensitivity analysis: when a little means a lot \\
3. Computer memory and arithmetic: a look under the
hood \\
4. Design of computer programs: writing your legacy \\
Part II. Dense Matrix Computations: \\
5. Matrix factorizations \\
6. Case study: image deblurring: I can see clearly now
\\
7. Case study: updating and downdating matrix
factorizations: a change in plans \\
8. Case study: the direction-of-arrival problem \\
Part III. Optimization and Data Fitting: \\
9. Numerical methods for unconstrained optimization \\
10. Numerical methods for constrained optimization \\
11. Case study: classified information: the data
clustering problem \\
12. Case study: achieving a common viewpoint: yaw,
pitch, and roll \\
13. Case study: fitting exponentials: an interest in
rates \\
14. Case study: blind deconvolution: errors, errors,
everywhere \\
15. Case study: blind deconvolution: a matter of norm
\\
Part IV. Monte Carlo Computations: \\
16. Monte Carlo principles \\
17. Case study: Monte-Carlo minimization and counting
one, two, too many \\
18. Case study: multidimensional integration: partition
and conquer \\
19. Case study: models of infections: person to person
\\
Part V. Ordinary Differential Equations: \\
20. Solution of ordinary differential equations \\
21. Case study: more models of infection: it's epidemic
\\
22. Case study: robot control: swinging like a pendulum
\\
23. Case study: finite differences and finite elements:
getting to know you \\
Part VI. Nonlinear Equations and Continuation Methods:
24. Nonlinear systems \\
25. Case study: variable-geometry trusses \\
26. Case study: beetles, cannibalism, and chaos \\
Part VII. Sparse Matrix Computations with Application
to Partial Differential Equations: \\
27. Solving sparse linear systems: taking the direct
approach \\
28. Iterative methods for linear systems \\
29. Case study: elastoplastic torsion: twist and stress
\\
30. Case study: fast solvers and Sylvester equations:
both sides now \\
31. Case study: eigenvalues: valuable principles \\
32. Multigrid methods: managing massive meshes \\
Bibliography \\
Index.",
}
@Book{Shapira:2009:MOC,
author = "Yair Shapira",
title = "Mathematical objects in {C++}: computational tools in
a unified object-oriented approach",
publisher = pub-CRC,
address = pub-CRC:adr,
pages = "xxviii + 606",
year = "2009",
ISBN = "1-4398-1147-4",
ISBN-13 = "978-1-4398-1147-4",
LCCN = "QA297 .S464 2009",
bibdate = "Mon Aug 23 11:08:16 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Chapman and Hall/CRC numerical analysis and scientific
computing",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Data processing; C++ (Computer
program language)",
tableofcontents = "`Natural numbers \\
Integer numbers \\
Rational numbers \\
Real numbers \\
Complex numbers \\
Geometrical objects \\
Euclidean geometry \\
Analytic geometry \\
Composite mathematical objects \\
Sets \\
Vectors and matrices \\
Multilevel objects \\
Graphs \\
Polynomials \\
Introduction to C \\
Basics of programming \\
Recursion \\
Introduction to C++ \\
Objects \\
Vectors and matrices \\
Dynamic vectors and lists \\
Implementation of computational objects \\
Trees \\
Graphs \\
Sparse matrices \\
Meshes \\
Triangulation \\
Three-dimensional applications \\
Mesh of tetrahedra \\
Polynomials \\
Sparse polynomials \\
Stiffness and mass matrices \\
Splines",
}
@Book{Strang:2009:ILA,
author = "Gilbert Strang",
title = "Introduction to linear algebra",
publisher = pub-WCP,
address = pub-WCP:adr,
edition = "Fourth",
pages = "ix + 574",
year = "2009",
ISBN = "0-9802327-1-6",
ISBN-13 = "978-0-9802327-1-4",
LCCN = "QA184 .S77 2009",
bibdate = "Thu Jun 2 08:21:51 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
subject = "Algebras, Linear; Textbooks",
tableofcontents = ". Introduction to vectors \\
Solving linear equations \\
Vector spaces and subspaces \\
Orthogonality \\
Determinants \\
Eigenvalues and eigenvectors \\
Linear transformations \\
Applications \\
Numerical linear algebra \\
Complex vectors and matrices.",
}
@Book{Varga:2009:MIA,
author = "Richard S. Varga",
title = "Matrix Iterative Analysis",
volume = "27",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second revised and expanded",
pages = "x + 358",
year = "2009",
DOI = "https://doi.org/10.1007/978-3-642-05156-2",
ISBN = "3-642-05154-5 (softcover), 3-642-05156-1 (e-book)",
ISBN-13 = "978-3-642-05154-8 (softcover), 978-3-642-05156-2
(e-book)",
ISSN = "0179-3632 (print), 2198-3712 (electronic)",
ISSN-L = "0179-3632",
LCCN = "QA263 .V3 2009",
bibdate = "Thu Mar 29 15:14:07 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer series in computational mathematics",
abstract = "This is the softcover reprint of a very popular
hardcover edition, a revised version of the first
edition, originally published by Prentice Hall in 1962
and regarded as a classic in its field. In some places,
newer research results, e.g. results on weak regular
splittings, have been incorporated in the revision, and
in other places, new material has been added in the
chapters, as well as at the end of chapters, in the
form of additional up-to-date references and some
recent theorems to give the reader some newer
directions to pursue. The material in the new chapters
is basically self-contained and more exercises have
been provided for the readers. While the original
version was more linear algebra oriented, the revision
attempts to emphasize tools from other areas, such as
approximation theory and conformal mapping theory, to
access newer results of interest. The book should be of
great interest to researchers and graduate students in
the field of numerical analysis.",
acknowledgement = ack-nhfb,
subject = "Iterative methods (Mathematics); Matrices",
tableofcontents = "Matrix Properties and Concepts \\
Nonnegative Matrices \\
Basic Iterative Methods and Comparison Theorems \\
Successive Overrelaxation Iterative Methods \\
Semi-Iterative Methods \\
Derivation and Solution of Elliptic Difference
Equations \\
Alternating-Direction Implicit Iterative Methods \\
Matrix Methods for Parabolic Partial Differential
Equations \\
Estimation of Acceleration Parameters",
}
@Proceedings{Calvetti:2000:MJT,
editor = "Daniela Calvetti and Lothar Reichel",
booktitle = "Mathematical journey through analysis, matrix theory
and scientific computation",
title = "Mathematical journey through analysis, matrix theory
and scientific computation",
volume = "25(1--4)",
publisher = pub-BALTZER,
address = pub-BALTZER:adr,
pages = "v--xvi, 1--406",
year = "2000",
CODEN = "NUALEG",
ISBN = "????",
ISBN-13 = "????",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
LCCN = "????",
MRclass = "00B30 (15-06 65-06)",
MRnumber = "1 827 140",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "Papers from the conference held in honor of Richard S.
Varga on the occasion of his 70th birthday at Kent
State University, Kent, OH, March 25--27, 1999",
series = j-NUMER-ALGORITHMS,
}
@Book{vanDooren:2000:NAV,
editor = "P. M. van Dooren and A. Hadjidimos and H. A. van der
Vorst",
booktitle = "Numerical analysis 2000",
title = "Numerical analysis 2000",
volume = "3",
publisher = pub-ELSEVIER-SCIENCE,
address = pub-ELSEVIER-SCIENCE:adr,
pages = "xii + 531",
year = "2000",
ISBN = "0-444-50598-9",
ISBN-13 = "978-0-444-50598-9",
LCCN = "QA184 .L67 2000",
MRclass = "65-06 (65F15)",
MRnumber = "MR1851505",
bibdate = "Sat Dec 31 06:28:14 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
MathSciNet database",
note = "Linear algebra---linear systems and eigenvalues,
Reprint of J. Comput. Appl. Math. {\bf 123} (2000),
no. 1--2 [ MR1798517 (2001f:65003)].",
URL = "http://www.loc.gov/catdir/enhancements/fy0614/2002282450-d.html",
acknowledgement = ack-nhfb,
}
@Proceedings{Alefeld:2001:TNA,
editor = "G. Alefeld and X. (Xiaojun) Chen",
booktitle = "Topics in numerical analysis with special emphasis on
nonlinear problems",
title = "Topics in numerical analysis with special emphasis on
nonlinear problems",
volume = "15",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 249",
year = "2001",
ISBN = "3-211-83673-X",
ISBN-13 = "978-3-211-83673-6",
ISSN = "0344-8029",
LCCN = "QA297 .T66 2001",
bibdate = "Sat Aug 02 18:25:13 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = j-COMPUTING-SUPPLEMENTUM,
acknowledgement = ack-nhfb,
}
@Proceedings{Vulkov:2001:NAA,
editor = "Lubin Vulkov and Jerzy Wa{\'s}niewski and Plamen
Yalamov",
booktitle = "{Numerical Analysis and Its Applications: Second
International Conference, NAA 2000, Rousse, Bulgaria,
June 11--15, 2000 Revised Papers}",
title = "{Numerical Analysis and Its Applications: Second
International Conference, NAA 2000, Rousse, Bulgaria,
June 11--15, 2000 Revised Papers}",
volume = "1988",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiii + 782",
year = "2001",
DOI = "https://doi.org/10.1007/3-540-45262-1",
ISBN = "3-540-45262-1, 3-540-45262-1 (e-book)",
ISBN-13 = "978-3-540-45262-1, 978-3-540-45262-1 (e-book)",
LCCN = "QA297 .N8415 2001",
bibdate = "Tue Feb 15 09:13:49 MST 2011",
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/y/young-david-m.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = ser-LNCS,
URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t1988.htm;
http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1988",
acknowledgement = ack-nhfb,
subject = "Computer simulation; Computer software; Electronic
data processing; Numerical analysis; Computer Science",
}
@Proceedings{Iske:2002:TMG,
editor = "Armin Iske and Ewald Quak and Michael S. Floater",
booktitle = "{Tutorials on multiresolution in geometric modelling:
summer school lectures notes}",
title = "{Tutorials on multiresolution in geometric modelling:
summer school lectures notes}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 421",
year = "2002",
ISBN = "3-540-43639-1",
ISBN-13 = "978-3-540-43639-3",
LCCN = "T385 .T88 2002",
bibdate = "Tue May 27 08:37:51 MDT 2014",
bibsource = "z3950.loc.gov:7090/Voyager;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
series = "Mathematics and visualization",
URL = "http://www.loc.gov/catdir/enhancements/fy0817/2002070537-d.html;
http://www.loc.gov/catdir/enhancements/fy0817/2002070537-t.html",
acknowledgement = ack-nhfb,
subject = "Computer graphics",
}
@Proceedings{Brezzi:2003:NMA,
editor = "Franco Brezzi and Annalisa Buffa and Stefania Corsaro
and Almerico Murli",
booktitle = "{Numerical mathematics and advanced applications:
proceedings of ENUMATH 2001, the 4th European
Conference on Numerical Mathematics and Advanced
Applications, Ischia, July 2001}",
title = "{Numerical mathematics and advanced applications:
proceedings of ENUMATH 2001, the 4th European
Conference on Numerical Mathematics and Advanced
Applications, Ischia, July 2001}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxiv + 996",
year = "2003",
ISBN = "88-470-0180-3",
ISBN-13 = "978-88-470-0180-0",
LCCN = "QA297 .E89 2001",
bibdate = "Fri Mar 1 09:51:55 MST 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
meetingname = "European Conference on Numerical Mathematics and
Advanced Applications (4th : 2001 : Ischia, Italy)",
subject = "Numerical analysis; Congresses",
tableofcontents = "Flow Problems \\
Analysis of a domain decomposition method for the
coupling of Stokes and Darcy equations / M.
Discacciati, A. Quarteroni / 3 \\
Residual-free bubbles for a singular perturbation
equation / M. I. Asensio, L. P. Franca, A. Russo / 21
\\
High-order IMEX-RK finite volume methods for
multidimensional hyperbolic systems / E. Bertolazzi, G.
Manzini / 35 \\
High-order central WENO schemes for 1D Hamilton-Jacobi
equations / S. Bryson, D. Levy / 45 \\
Asymptotic analysis of coupled problems for
compressible flows / C. A. Coclici, J. Heiermann, Gh.
Morosanu, W. L. Wendland / 55 \\
On the discontinuous Galerkin method for the numerical
solution of compressible high-speed flow / V. Dolejsi,
M. Feistauer / 65 \\
Comparison of two conservative schemes for hyperbolic
interface problems / R. Fazio / 85 \\
Adaptive numerical flow simulation / J. Felcman / 95
\\
Flood modelling using mixed-hybrid finite elements / M.
Hokr, J. Maryska, R. Smetana / 103 \\
High-order relaxation methods for incompressible
Navier-Stokes equations / A. Klar, M. Seaid / 111 \\
New nonconforming finite elements for solving the
incompressible Navier-Stokes equations / P. Knobloch /
123 \\
Explicit and implicit high-resolution finite element
schemes based on the flux-corrected-transport algorithm
/ D. Kuzmin, S. Turek / 133 \\
Genuinely multidimensional evolution Galerkin schemes
for the shallow water equations / M.
Lukacova-Medvidova, J. Saibertova / 145 \\
Mixed-hybrid FEM discrete fracture network model of the
fracture flow / J. Maryska, O. Severyn, M. Vohralik /
155 \\
Numerical evaluation of FEM with application to the 1D
advection-diffusion problem / G. Sangalli / 165 \\
Numerical simulation of interfacial flows / A.
Smolianski / 173 \\
A family of finite difference schemes for the
convection-diffusion equation in two dimensions / E.
Sousa, I. Sobey / 179 \\
An unstructured staggered scheme for the Navier-Stokes
equations / I. Wenneker, G. Segal, P. Wesseling / 189
\\
Electromagnetic Problems \\
Adaptive domain decomposition techniques in
electromagnetic field computation and
electrothermomechanical coupling problems / R. H. W.
Hoppe / 201 \\
Computation of Maxwell eigenvalues on curvilinear
domains using hp-version Nedelec elements / M.
Ainsworth, J. Coyle / 219 \\
FE solution of a 3D-thermoelectrical model for
metallurgical electrodes / A. Bermudez, J. Bullon, P.
Salgado / 233 \\
On the time-harmonic Maxwell equations in general
domains / D. Boffi, L. Gastaldi / 243 \\
FI[superscript 2]TD schemes for magnetic field
simulations: new formulations and algorithmic
improvements / M. Clemens, T. Weiland / 255 \\
A boundary integral formulation of antenna problems
suitable for nodal-based wavelet approximations / M.
Costabel, C. Safa / 265 \\
Weighted regularization of Maxwell equations:
computations in curvilinear polygons / M. Costabel, M.
Dauge, D. Martin, G. Vial / 273 \\
Perfectly matched layers in transmission lines / G.
Hebermehl, F.-K. Hubner, R. Schlundt, T. Tischler, H.
Zscheile, W. Heinrich / 281 \\
The computational modelling of micromagnetic fine
structures in uniaxial ferromagnets using the
nonconforming domain decomposition method / P. Kloucek,
L. A. Melara / 291 \\
Elasticity and Structures \\
Towards the convergence of 3D and shell finite
elements? / D. Chapelle / 303 \\
A shell model allowing folds / S. Anicic / 317 \\
A Signorini frictionless contact problem for
viscoelastic materials with long-term memory / A. D.
Rodriguez-Aros, M. Sofonea, J. M. Viano / 327 \\
Numerical analysis of a contact problem for
elastic-visco-plastic materials with damage / O. Chau,
J. R. Fernandez, W. Han, M. Sofonea / 337 \\
PSRI schemes for shells: a benchmark study / C.
Chinosi, G. Sacchi / 347 \\
Propagation of singularities on thin shells with
hyperbolic regions / H. Hakula / 357 \\
An analysis of asymptotic consistency error in a
parameter-dependent model problem / V. Havu / 365 \\
Homogenized elasticity solvers for biomorphic
microcellular ceramics / R. H. W. Hoppe, S. I. Petrova
/ 371 \\
Energy estimates for shell problems / C. Lovadina / 381
\\
Numerical Problems in Finance \\
Functional approximation and estimation for latent
variable systems / E. Capobianco / 391 \\
The boundary value formulation of the Asian call option
/ J. Hugger / 409 \\
WENO and blended BDF discretizations for option pricing
problems / C. W. Oosterlee, F. J. Gaspar, J. C. Frisch
/ 419 \\
A nonlinear PDE in mathematical finance / S. Polidoro /
429 \\
Numerical Methods for Kinetic Equations \\
An adaptive numerical method for the Vlasov equation
based on a multiresolution analysis / N. Besse, F.
Filbet, M. Gutnic, I. Paun, E. Sonnendrucker / 437 \\
A brief review of numerical methods for collision
operators / S. Cordier, S. Mancini / 447 \\
Numerical methods for the Vlasov equation / F. Filbet,
E. Sonnendrucker / 459 \\
On the fast evaluation of kinetic equations for driven
granular flows / L. Pareschi / 469 \\
Singular Free Boundary Problems \\
Linear co-volume scheme for anisotropic curvature
driven motions / S. Corsaro, V. De Simone, A.
Handlovicova, K. Mikula, F. Sgallari / 483 \\
Consistency of a large time-step scheme for mean
curvature motion / M. Falcone, R. Ferretti / 495 \\
A scheme for the shape-from-shading model with ``black
shadows'' / M. Falcone, M. Sagona, A. Seghini / 503 \\
A Cahn-Hilliard equation with non-homogeneous mobility
and its application to image processing / S. Finzi Vita
/ 513 \\
Other Applications \\
Inverse problem for the 3D equation of radiative
transfer / G. S. Abdoulaev, A. H. Hielscher / 525 \\
Numerical analysis of a coupled radiative-conductive
heat transfer problem / F. Asllanaj, G. Jeandel, J. R.
Roche, D. Schmitt / 535 \\
Hybrid FEM/FDM method for an inverse scattering problem
/ L. Beilina, C. Johnsson / 545 \\
The discrete maximum principle for stabilized finite
element methods / E. Burman, A. Ern / 557 \\
Mixed hybrid model of flow in combustion engines / L.
Cizkova, J. Maryska, J. Sembera / 567 \\
A subgrid projection method for relaxation of
non-attainable differential inclusions / D. Cox, P.
Kloucek, D. R. Reynolds / 575 \\
Some remarks on fixed point and Newton techniques for
solving the S[subscript 2] approximation of transient
radiative transfer / M. Falcone, O. Lopez Pouso / 585
\\
Numerical results and error estimates for the finite
element solution of problems with nonlinear boundary
condition on nonpolygonal domains / P. Svacek, K.
Najzar / 593 \\
A Posteriori Estimates and Adaptivity \\
Multiscale adaptive processing for evolution equations
/ A. Cohen / 605 \\
Sobolev regularity estimation for hp-adaptive finite
element methods / P. Houston, B. Senior, E. Suli / 631
\\
Robustness in a posteriori error estimates for the
Oseen equations with general boundary conditions / S.
Berrone / 657 \\
A posteriori estimates for FE-solutions of variational
inequalities / H. Blum, A. Schroder, F. T. Suttmeier /
669 \\
Adaptive mesh refinement based on a posteriori error
estimates for Stokes flow in a 2D problem / P. Burda,
J. Novotny, B. Sousedik / 681 \\
Explicit error in a finite element method / P.
Destuynder / 691 \\
An adaptive p-wavelet method in a domain decomposition
framework / S. Falletta / 701 \\
Adaptive FEM for eigenvalue problems / V. Heuveline, R.
Rannacher / 713 \\
A posteriori error estimators for a model parameter
estimation problem / K. Kunisch, W. B. Liu, N. Yan /
723 \\
An anisotropic recovery-based a posteriori error
estimator / S. Micheletti, S. Perotto / 731 \\
A wavelet-based adaptive scheme for the solution of
nonlinear equations / M. Verani / 743 \\
Discontinuous Galerkin Finite Element Methods \\
LDG methods for Stokes flow problems / B. Cockburn, G.
Kanschat, D. Schotzau / 755 \\
A P[superscript 2]-continuous, P[superscript
1]-discontinuous finite element method for the
Mindlin-Reissner plate model / P. Hansbo, M. G. Larson
/ 765 \\
Goal-oriented a posteriori error estimation for
compressible fluid flows / R. Hartmann, P. Houston /
775 \\
hp-DGFEM for Maxwell's equations / P. Houston, I.
Perugia, D. Schotzau / 785 \\
Multilevel preconditioners for the interior penalty
method / J. Gopalakrishnan, G. Kanschat / 795 \\
A survey of DG methods for elliptic problems / L. D.
Marini / 805 \\
Domain Decomposition Methods \\
The Chimera method for a model problem / F. Brezzi,
J.-L. Lions, O. Pironneau / 817 \\
Virtual control for fourth-order problems and for
heterogeneous fourth-order second-order coupling / P.
Gervasio / 827 \\
Nitsche-type finite element method for elliptic
problems with singularities / B. Heinrich / 837 \\
Mortar element coupling between global scalar and local
vector potentials to solve eddy current problems / Y.
Maday, F. Rapetti, B. I. Wohlmuth / 847 \\
A mosaic preconditioner for a dual Schur complement /
E. Tyrtyshnikov, Y. Vassilevski / 867 \\
ODE, IDE, and Related Problems \\
A computational algorithm for Rjabov's method for real
inversion of Laplace transforms / S. Cuomo, L. D'Amore,
A. Murli / 881 \\
A high-order BVM approach to computation of embedded
eigenvalues in Sturm-Liouville problems / P.
Ghelardoni, G. Gheri, M. Marletta / 891 \\
Numerical solution of boundary value problems with
deviated arguments / T. Jankowski / 899 \\
Theory of implicit extrapolation methods for ordinary
differential equations / G. Yu. Kulikov / 909 \\
Spline collocation methods for weakly singular Volterra
integro-differential equations / I. Parts, A. Pedas /
919 \\
Numerical Linear Algebra \\
Linear systems of equations arising in the (almost) FEM
solution of low-frequency electromagnetic problems / P.
Alotto / 931 \\
A preconditioned Krylov subspace solver for a
saddle-point model of a single-phase induction machine
/ H. De Gersem, S. Vandewalle, K. Hameyer / 941",
}
@Proceedings{Dimov:2003:NMA,
editor = "Ivan Dimov",
booktitle = "{Numerical methods and applications: 5th International
Conference, NMA 2002, Borovets, Bulgaria, August
20--24, 2002: Revised Papers}",
title = "{Numerical methods and applications: 5th International
Conference, NMA 2002, Borovets, Bulgaria, August
20--24, 2002: Revised Papers}",
volume = "2542",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 574",
year = "2003",
CODEN = "LNCSD9",
DOI = "????",
ISBN = "3-540-00608-7 (softcover)",
ISBN-13 = "978-3-540-00608-4 (softcover)",
ISSN = "0302-9743",
LCCN = "QA297 .I483 2002",
bibdate = "Thu Aug 21 09:09:03 MDT 2003",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
note = "Also available via the World Wide Web.",
series = ser-LNCS,
URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t2542.htm;
http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=2542",
acknowledgement = ack-nhfb,
keywords = "numerical analysis --- congresses",
}
@Proceedings{Feistauer:2004:NMA,
editor = "M. (Miloslav) Feistauer and V{\'i}t Dolej{\v{s}}{\'i}
and Petr Knobloch and Karel Najzar",
booktitle = "{Numerical Mathematics and Advanced Applications:
Proceedings of ENUMATH 2003 the 5th European Conference
on Numerical Mathematics and Advanced Applications
Prague, August 2003}",
title = "{Numerical Mathematics and Advanced Applications:
Proceedings of ENUMATH 2003 the 5th European Conference
on Numerical Mathematics and Advanced Applications
Prague, August 2003}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 721",
year = "2004",
DOI = "https://doi.org/10.1007/978-3-642-18775-9",
ISBN = "3-642-62288-7, 3-540-21460-7, 3-642-18775-7 (e-book)",
ISBN-13 = "978-3-642-62288-5, 978-3-540-21460-1,
978-3-642-18775-9 (e-book)",
LCCN = "QA297 .E89 2003",
bibdate = "Mon Feb 11 11:30:19 MST 2019",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
URL = "http://link.springer.com/10.1007/978-3-642-18775-9",
abstract = "The book is the Proceedings of the Conference ENUMATH
2003, the 5th European Conference on Numerical
Mathematics, concerned with most recent achievements in
scientific computing, computational mathematics,
numerical analysis and their applications. These
proceedings contain a selection of invited plenary
lectures, papers presented in minisymposia and
contributed papers. All contributions to these
proceedings have been reviewed by members of the
Scientific Committee. Attention is paid to theoretical
aspects of new numerical techniques and algorithms, as
well as to applications, for example in fluid dynamics,
electromagnetic fields, structural mechanics, free
boundary problems. The book will be very useful for a
wide range of readers, giving them an excellent
overview of the most modern methods, techniques,
algorithms and results in numerical mathematics,
scientific computing and their applications.",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Congresses; Numerical analysis.",
tableofcontents = "Front Matter / i--xiii \\
Plenary Lectures \\
Front Matter / 1--1 \\
Numerical Analysis of Finite Element Methods for Eddy
Current Problems. Applications to Electrode Simulation
/ Alfredo Berm{\'u}dez, Rodolfo Rodr{\'\i}guez, Pilar
Salgado / 3--19 \\
Space Decomposition Preconditioners and Parallel
Solvers / Radim Blaheta / 20--38 \\
Boundary Conditions for Hyperbolic Equations or Systems
/ Thierry Gallou{\"e}t / 39--55 \\
Fictitious Domain Methods in Shape Optimization with
Applications in Free-Boundary Problems / Jaroslav
Haslinger, Tom{\'a}{\v{s}} Kozubek, Karl Kunisch,
G{\"u}nter Peichl / 56-75 Contributed Papers \\
Front Matter / 77--77 \\
Domain Decomposition Method for a Class of Non-Linear
Elliptic Equation with Arbitrary Growth Nonlinearity
and Data Measure / Nour Eddine Alaa, Jean Rodolphe
Roche / 79--88 \\
Variants of Relaxation Schemes and the Lattice
Boltzmann Model Relaxation Systems / Mapundi Kondwani
Banda / 89--101 \\
A Time Semi-Implicit Relaxation Scheme for Two-Phase
Flows in Pipelines / Micha{\"e}l Baudin,
Fr{\'e}d{\'e}ric Coquel, Quang-Huy Tran / 102--111 \\
Computational Study of Field Scale BTEX Transport and
Biodegradation in the Subsurface / Markus Bause /
112--122 \\
A Two-Level Stabilization Scheme for the Navier-Stokes
Equations / Roland Becker, Malte Braack / 123--130 \\
A Posteriori Error Estimates for Parameter
Identification / Roland Becker, Boris Vexler / 131--140
\\
On a Phase-Field Model with Advection / Michal
Bene{\v{s}} / 141--150 \\
Fast Evaluation of Eddy Current Integral Operators /
Steffen B{\"o}rm / 151--158 \\
Adaptive Computation of Reactive Flows with Local Mesh
Refinement and Model Adaptation / Malte Braack,
Alexandre Ern / 159--168 \\
An Alternative to the Least-Squares Mixed Finite
Element Method for Elliptic Problems / Jan Brandts,
Yanping Chen / 169--175 \\
Limit Analysis Method in Electrostatics / Igor A.
Brigadnov / 176--185 \\
Finite Element Mesh Adjusted to Singularities Applied
to Axisymmetric and Plane Flow / Pavel Burda, Jaroslav
Novotn{\'y}, Bed{\v{r}}ich Soused{\'\i}k, Jakub
{\v{S}}{\'\i}stek / 186--195 \\
The Edge Stabilization Method for Finite Elements in
CFD / Erik Burman, Peter Hansbo / 196--203 \\
Analysis and Computation of Dendritic Growth in Binary
Alloys Using a Phase-Field Model / Eric Burman, Marco
Picasso, Jacques Rappaz / 204--220 \\
Discontinuous Galerkin Methods for Timoshenko Beams /
Fatila Celiker, Bernardo Cockburn, Sukru G{\"u}zey,
Ramdev Kanapady, Sew-Chew Soon, Henrik K. Stolarski et
al. / 221--231 \\
Numerical Algorithms for Solving Elliptic-Parabolic
Problems / Raimondas {\v{C}}iegis / 232--238 \\
Stochastic Relaxation of Variational Integrals with
Non-attainable Infima / Dennis D. Cox, Petr
Klou{\v{c}}ek, Daniel R. Reynolds, Pavel
{\v{S}}ol{\'\i}n / 239--249 \\
A Pressure-Weighted Upwind Scheme in Unstructured
Finite-Element Grids / Masoud Darbandi, Kiumars
Mazaheri-Body, Shidvash Vakilipour / 250--259 \\
Discontinuous Galerkin Finite Element Method for the
Numerical Solution of Viscous Compressible Flows /
V{\'\i}t Dolej{\v{s}}{\'\i} / 260--268 \\
A Finite Volume Scheme on General Meshes for the Steady
Navier-Stokes Equations in Two Space Dimensions /
Robert Eymard, Raphale Herbin / 269--277 \\
Existence and Uniqueness of a Weak Solution to a
Stratigraphic Model / Robert Eymard, Thierry
Gallou{\"e}t, V{\'e}ronique Gervais, Roland Masson /
278--287 \\
Combined Nonconforming/Mixed-hybrid Finite
Element-Finite Volume Scheme for Degenerate Parabolic
Problems / Robert Eymard, Danielle Hilhorst, Martin
Vohral{\'\i}k / 288--297 \\
Discrete Maximum Principle for Galerkin Finite Element
Solutions to Parabolic Problems on Rectangular Meshes /
Istv{\'a}n Farag{\'o}, R{\'o}bert Horv{\'a}th, Sergey
Korotov / 298--307 \\
Cubature-Differences Method for Singular
Integro-differential Equations / Alexander I. Fedotov /
308--315 \\
Nonconforming Discretization Techniques for Overlapping
Domain Decompositions / Bernd Flemisch, Michael Mair,
Barbara Wohlmuth / 316--325 \\
On the Use of Implicit Updates in Minimum Curvature
Multi-step Quasi-Newton Methods / John A. Ford, Issam
A. Moghrabi / 326--335 \\
A Boundary Movement Identification Method for a
Parabolic Partial Differential Equation / Tom P.
Fredman / 336--345 \\
On Computational Properties of a Posteriori Error
Estimates Based upon the Method of Duality Error
Majorants / Maxim Frolov, Pekka Neittaanm{\"a}ki,
Sergey Repin / 346--357 \\
Efficient Algorithm for Local-Bound-Preserving
Remapping in ALE Methods / Rao Garimella, Milan
Kucha{\v{r}}{\'\i}k, Mikhail Shashkov / 358--367 \\
Mimetic Finite Difference Methods for Diffusion
Equations on Unstructured Triangular Grid / Victor
Ganzha, Richard Liska, Mikhail Shashkov, Christoph
Zenger / 368--377 \\
On Computational Glaciology: FE-Simulation of Ice Sheet
Dynamics / G{\"u}nter G{\"o}dert, Franz-Theo Suttmeier
/ 378--390 \\
Nonreflecting Boundary Conditions for Multiple Domain
Wave Scattering in Unbounded Media / Marcus J. Grote,
Christoph Kirsch, Patrick Meury / 391--399 \\
On the Choice of the Regularization Parameter in the
Case of the Approximately Given Noise Level of Data /
Uno H{\"a}marik, Toomas Raus / 400--409 \\
Adaptive Discontinuous Galerkin Finite Element Methods
with Interior Penalty for the Compressible
Navier-Stokes Equations / Ralf Hartmann, Paul Houston /
410--419 \\
On a Novel Technique for Parallel Unstructured Mesh
Generation in 3D / Jan Ha{\v{s}}kovec, Pavel
{\v{S}}ol{\'\i}n / 420--429 \\
Adaptive Finite Element Methods for Turbulent Flow /
Johan Hoffman, Claes Johnson / 430--439 \\
Numerical Solution of a Nonlinear Evolution Equation
Describing Amorphous Surface Growth of Thin Films /
Ronald H.W. Hoppe, Eva Nash / 440--448 \\
Constrained Mountain Pass Algorithm for the Numerical
Solution of Semilinear Elliptic Problems /
Ji{\v{r}}{\'\i} Hor{\'a}k / 449--458 \\
Optimal Shape Design of Diesel Intake Ports with
Evolutionary Algorithm / Andr{\'a}s Horv{\'a}th,
Zolt{\'a}n Horv{\'a}th / 459--470 \\
Numerical Simulation of Compressible Fluids with Moving
Boundaries: An Effective Method with Applications /
Zolt{\'a}n Horv{\'a}th, Andr{\'a}s Horv{\'a}th /
471--482 \\
Discontinuous Galerkin Methods for the Time-Harmonic
Maxwell Equations / Paul Houston, Ilaria Perugia, Anna
Schneebeli, Dominik Sch{\"o}tzau / 483--492 \\
Mixed hp-Discontinuous Galerkin Finite Element Methods
for the Stokes Problem in Polygons / Paul Houston,
Dominik Sch{\"o}tzau, Thomas P. Wihler / 493--501 \\
A Postprocessing of Hopf Bifurcation Points /
D{\'a}{\v{s}}a Janovsk{\'a}, Vladim{\'\i}r Janovsk{\'y}
/ 502--509 \\
Givens' Reduction of Quaternion-Valued Matrices to
Upper Hessenberg Form / Drahoslava Janovsk{\'a},
Gerhard Opfer / 510--520 \\
Model of Compressible Flow and Transport in a
Time-Dependent Domain / Pavel Jir{\'a}nek,
Ji{\v{r}}{\'\i} Mary{\v{s}}ka, Jan {\v{S}}embera /
521--530 \\
Numerical Study of Convection of Multi-Component Fluid
in Porous Medium / Olga Kantur, Vyacheslav Tsybulin /
531--538 \\
Multi-yield Elastoplastic Continuum-Modeling and
Computations / Johanna Kienesberger, Jan Valdman /
539--548 \\
Celebrating Fifty Years of David M. Young's Successive
Overrelaxation Method / David R. Kincaid / 549--558 \\
On the Relational Database Style Parallel Numerical
Programming / B{\'e}la Kiss, Anna Krebsz / 559--568 \\
A Dynamical System Describing Evolution of the Implicit
Surfaces in Incompressible Viscous Liquids / Petr
Klou{\v{c}}ek, Michel V. Romerio, Jennifer L. Wightman
/ 569--579 \\
Discrete Maximum Principles in Finite Element Modelling
/ Sergey Korotov, Michal K{\v{r}}{\'\i}{\v{z}}ek /
580--586 \\
A Posteriori Error Estimation in Terms of Linear
Functionals for Boundary Value Problems of Elliptic
Type / Sergey Korotov, Pekka Neittaanm{\"a}ki, Sergey
Repin / 587--595 \\
Numerical Solution of Flow in Backward Facing Step /
Karel Kozel, Petr Louda, Petr Sv{\'a}{\v{c}}ek /
596--604 \\
Periodicity Properties of Solutions to a Hysteresis
Model in Micromagnetics / Martin Kru{\v{z}}{\'\i}k /
605--614 \\
Mixed Finite Element Method on Polygonal and Polyhedral
Meshes / Yuri Kuznetsov, Sergey Repin / 615--622 \\
Semi-discrete Schemes for Hamilton-Jacobi Equations on
Unstructured Grids / Doron Levy, Suhas Nayak / 623--630
\\
Numerical Simulation of Dislocation Dynamics /
Vojt{\v{e}}ch Min{\'a}rik, Jan Kratochv{\'\i}l, Karol
Mikula, Michal Bene{\v{s}} / 631--640 \\
Implicit FEM-FCT algorithm for compressible flows /
Matthias M{\"o}ller, Dmitri Kuzmin, Stefan Turek /
641--650 \\
A Singular Limit Method for the Stefan Problems /
Hideki Murakawa, Tatsuyuki Nakaki / 651--657 \\
Higher-Order Split-Step Schemes for the Generalized
Nonlinear Schr{\"o}dinger Equation / Gulcin M. Muslu,
Husnu A. Erbay / 658--667 \\
Numerical Methods and Simulation Techniques for Flow
with Shear and Pressure Dependent Viscosity /
Abderrahim Ouazzi, Stefan Turek / 668--676 \\
Piecewise Polynomial Approximations for Linear Volterra
Integro-Differential Equations with Nonsmooth Kernels /
Arvet Pedas / 677--686 \\
On a Discontinuous Galerkin Method for
Radiation-Diffusion Problems / Ilaria Perugia, Dominik
Sch{\"o}tzau, James Warsa / 687--697 \\
Modeling of Multi-Phase Flows with a Level-Set Method /
Sander P. van der Pijl, A. Segal, C. Vuik / 698--707
\\
Numerical Modeling of Bypass Flow / Vladimir Prokop,
Karel Kozel / 708--715 \\
A Posteriori Estimation of Dimension Reduction Errors /
Sergey Repin, Stefan Sauter, Anton Smolianski /
716--725 \\
Analysis of a Multi-Numerics/Multi-Physics Problem /
B{\'e}atrice Rivi{\`e}re / 726--735 \\
The Discontinuous Galerkin Method for Singularly
Perturbed Problems / Hans-G{\"o}rg Roos, Helena Zarin /
736--745 \\
A Finite-Volume Mass- and Vorticity-Conserving
Shallow-Water Model using Penta-/Hexagonal Grids /
William Sawyer, Rolf Jeltsch / 746--755 \\
Application of Parallel Computing Techniques for
Problems of Degenerated Diffusion / Milan
{\v{S}}enk{\'y}{\v{r}}, Ji{\v{r}}{\'\i} Miky{\v{s}}ka,
Michal Bene{\v{s}} / 756--765 \\
The Finite Element Analysis of an Elliptic Problem with
a Nonlinear Newton Boundary Condition / Veronika
Sobot{\'\i}kov{\'a} / 766--774 \\
Automatic Goal-Oriented hp-Adaptivity Without Error
Estimates / Pavel {\v{S}}ol{\'\i}n, Leszek Demkowicz /
775--785 \\
A Compression Method for the Helmholtz Equation /
Mirjam Stolper, Sergej Rjasanow / 786--795 \\
Application of a Stabilized FEM to Problems of
Aeroelasticity / Petr Sv{\'a}{\v{c}}ek, Miloslav
Feistauer / 796--805 \\
A Numerical Approach to the Dynamical Behavior of
Initiated Pulses in Some Nonlinear Diffusion Equations
/ Kenji Tomoeda / 806--814 \\
Fully Two-dimensional HLLEC Riemann Solver and
Associated Difference Schemes / Pavel V{\'a}chal,
Richard Liska, Burton Wendroff / 815--824 \\
Deflation Accelerated Parallel Preconditioned Conjugate
Gradient Method in Finite Element Problems / Fred J.
Vermolen, Kees Vuik, Guus Segal / 825--833 \\
Advantages of Binomial Checkpointing for Memory-reduced
Adjoint Calculations / Andrea Walther, Andreas Griewank
/ 834--843 \\
An Efficient Multigrid FEM Solution Technique for
Incompressible Flow with Moving Rigid Bodies / Decheng
Wan, Stefan Turek, Liudmila S. Rivkind / 844--853 \\
Higher-Order FEM for a System of Nonlinear Parabolic
PDE's in 2D with A-Posteriori Error Estimates / Martin
Z{\'\i}tka, Karel Segeth, Pavel {\v{S}}ol{\'\i}n /
854--863",
}
@Proceedings{Li:2005:NAA,
editor = "Zhilin Li and Lubin Vulkov and Jerzy Wa{\'s}niewski",
booktitle = "{Numerical analysis and its applications: third
international conference, NAA 2004, Rousse, Bulgaria,
June 29--July 3, 2004. Revised selected papers}",
title = "{Numerical analysis and its applications: third
international conference, NAA 2004, Rousse, Bulgaria,
June 29--July 3, 2004. Revised selected papers}",
volume = "3401",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiii + 630",
year = "2005",
CODEN = "LNCSD9",
DOI = "https://doi.org/10.1007/b106395",
ISBN = "3-540-24937-0 (softcover)",
ISBN-13 = "978-3-540-24937-5 (softcover)",
ISSN = "0302-9743",
LCCN = "QA297 .N8415",
bibdate = "Thu Jun 2 09:14:47 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = ser-LNCS,
URL = "http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=3401;
http://www.springerlink.com/openurl.asp?genre=volume&id=doi:10.1007/b106395",
acknowledgement = ack-nhfb,
}
@Book{Chan:2007:MMC,
editor = "Raymond H. Chan and Chen Greif and Dianne P. O'Leary",
booktitle = "Milestones in Matrix Computation: the Selected Works
of {Gene H. Golub} with Commentaries",
title = "Milestones in Matrix Computation: the Selected Works
of {Gene H. Golub} with Commentaries",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xi + 565 + 3",
year = "2007",
ISBN = "0-19-920681-3",
ISBN-13 = "978-0-19-920681-0",
LCCN = "QA188 .G67 2007",
MRclass = "65-06 (01A75 65Fxx)",
MRnumber = "MR2281939 (2008b:65004)",
MRreviewer = "David Scott Watkins",
bibdate = "Sat Apr 07 10:23:33 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
https://www.math.utah.edu/pub/tex/bib/technometrics1970.bib",
URL = "http://www.loc.gov/catdir/enhancements/fy0737/2007276086-d.html",
abstract = "The text presents and discusses some of the most
influential papers in Matrix Computation authored by
Gene H. Golub, one of the founding fathers of the
field. The collection of 21 papers in divided into five
main areas: iterative methods for linear systems,
solution of least squares problems, matrix
factorizations and applications, orthogonal polynomials
and quadrature, and eigenvalue problems an commentaries
for each area are provided by leading experts: Anne
Greenbaum, {\AA}ke Bj{\"o}rck, Nicholas Higham, Walter
Gautschi, and G. W. (Pete) Stewart. Comments on each
paper are also provided by the original authors,
providing the reader with historical information on how
the paper came to be written and under what
circumstances the collaboration was undertaken.
Including a brief biography and facsimiles of the
original papers, this text will be of great interest to
students and researchers in numerical analysis and
scientific computation.",
acknowledgement = ack-nhfb,
tableofcontents = "List of Plates / x \\
I: Gene H. Golub \\
1 Gene H. Golub Biography, by Chen Greif / 3 \\
2 Publications of Gene H. Golub / 13 \\
3 Major Awards / 30 \\
4 Students of Gene H. Golub / 32 \\
II: Iterative Methods for Linear Systems \\
5 Commentary, by Anne Greenbaum / 35 \\
References / 43 \\
6 Chebyshev semi-iterative methods, successive
over-relaxation iterative methods, and second-order
Richardson iterative methods, Parts I and II (with R.
S. Varga) / 45 \\
7 A generalized conjugate gradient method for
non-symmetric systems of linear equations (with Paul
Concus) / 68 \\
8 A generalized conjugate gradient method for the
numerical solution of elliptic partial differential
equations (with Paul Concus and Dianne P. O'Leary) / 79
\\
9 Hermitian and Skew-Hermitian Splitting Methods for
Non-Hermitian Positive Definite Linear Systems (with
Zhong-Zhi Bai and Michael K. Ng) / 102 \\
III: Solution of Least Squares Problems \\
10 Commentary, by {\AA}ke Bj{\"o}rck / 129 \\
References / 141 \\
11 Numerical methods for solving linear least squares
problems / 148 \\
12 Singular value decomposition and least squares
solutions (with C. Reinsch) / 160 \\
13 The differentiation of pseudo-inverses and
non-linear least squares problems whose variables
separate (with V. Pereyra) / 181 \\
14 Generalized cross-validation as a method for
choosing a good ridge parameter (with M. Heath and G.
Wahba) / 202 \\
15 An analysis of the total least squares problem (with
C. Van Loan) / 213 \\
IV: Matrix Factorizations and Applications \\
16 Commentary, by Nicholas Higham / 227 \\
References / 233 \\
17 Calculating the singular values and pseudo-inverse
of a matrix (with W. Kahan) / 236 \\
18 The simplex method of linear programming using $ L U
$ decomposition (with R. H. Bartels) / 257 \\
19 On direct methods for solving Poisson's equation
(with B. L. Buzbee and C. W. Nielson) / 261 \\
20 Numerical methods for computing angles between
linear subspaces (with {\AA}. Bj{\"o}rck) / 292 \\
21 Methods for modifying matrix factorizations (with P.
E. Gill, W. Murray and M. A. Saunders) / 309 \\
V: Orthogonal Polynomials and Quadrature \\
22 Commentary, by Walter Gautschi / 345 \\
References / 354 \\
23 Calculation of Gauss quadrature rules (with J. H.
Welsch) / 359 \\
24 Matrices, moments, and quadrature (with G{\'e}rard
Meurant) / 380 \\
25 Computation of Gauss--Kronrod Quadrature Rules (with
D. Calvetti, W. B. Gragg and L. Reichel) / 434 \\
VI: Eigenvalue Problems \\
26 Commentary, by G. W. Stewart / 457 \\
References / 465 \\
27 Some modified matrix eigenvalue problems / 467 \\
28 Ill-conditioned eigensystems and the computation of
the Jordan canonical form (with J. H. Wilkinson) / 485
\\
29 The block Lanczos method for computing eigenvalues
(with R. Underwood) / 528 \\
30 The numerically stable reconstruction of a Jacobi
matrix from spectral data (with C. de Boor) / 546 Index
/ 563",
}
@Proceedings{Du:2007:SSA,
editor = "Ding-Zhu Du and Charles Farbat and Walter Murray and
Michael Overton and Haesun Park and Michael Saunders
and James Varah",
booktitle = "{STANFORD 50: State of the Art \& Future Directions of
Computational Mathematics \& Numerical Computing: A
conference celebrating the 50th anniversary George
Forsythe's arrival at Stanford and Gene Golub's 75th
birthday, Stanford University, March 29--31, 2007}",
title = "{STANFORD 50: State of the Art \& Future Directions of
Computational Mathematics \& Numerical Computing: A
conference celebrating the 50th anniversary George
Forsythe's arrival at Stanford and Gene Golub's 75th
birthday, Stanford University, March 29--31, 2007}",
publisher = "????",
address = "????",
pages = "????",
year = "2007",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Sat Apr 07 09:04:27 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Iske:2007:AAP,
editor = "Armin Iske and Jeremy Levesley",
booktitle = "{Algorithms for Approximation: Proceedings of the 5th
International Conference, Chester, July 2005}",
title = "{Algorithms for Approximation: Proceedings of the 5th
International Conference, Chester, July 2005}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "300",
year = "2007",
DOI = "https://doi.org/10.1007/978-3-540-46551-5",
ISBN = "3-540-46551-0, 3-540-33283-9",
ISBN-13 = "978-3-540-46551-5, 978-3-540-33283-1",
LCCN = "QA221 .A44 2007",
bibdate = "Thu Dec 1 09:41:19 MST 2011",
bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.bibsys.no:2100/BIBSYS",
acknowledgement = ack-nhfb,
subject = "Mathematics; Special Functions; Functions, special;
Engineering mathematics; Mathematics of Computing;
Approximations and Expansions; Computer science;
Computational Mathematics and Numerical Analysis; Appl.
Mathematics / Computational Methods of Engineering",
}
