@String{j-ANN-NUM-MATH = "Annals of Numerical Mathematics"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-CAN-J-MATH = "Canadian J. Math."}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-SIAM-J-NUMER-ANAL = "{SIAM} Journal of Numerical Analysis"}
@String{pub-ADA-JANE-PRESS = "Ada+Jane Press, Benin City, Nigeria"}
@String{pub-ADA-JANE-PRESS:adr = "S.O. Fatunla, University of Benin,
Benin City, Nigeria"}
@String{pub-UP-IBADAN = "University Press PLC, Ibadan, Nigeria"}
@String{pub-UP-IBADAN:adr = "S.O. Fatunla, University of Benin, Benin
City, Nigeria"}
@String{pub-UTIL-MATH = "Utilitas Mathematica"}
@String{pub-SPRINGER = "Springer-Verlag"}
@String{pub-SPRINGER:adr = "Berlin"}
@TechReport{Verner:1967:CFD,
author = "J. H. Verner",
title = "Convergence of a Finite Difference Scheme for a Second
Order Ordinary Differential Equation with a
singularity",
number = "001",
institution = "University of London Institute of Computer Science",
pages = "19",
year = "1967",
bibdate = "Thu Feb 10 16:53:24 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@Article{Verner:1968:GTC,
author = "J. H. Verner and M. J. M. Bernal",
title = "On Generalizations of the Theory of Consistent
Orderings for Successive Over-Relaxation Methods",
journal = j-NUM-MATH,
volume = "12",
pages = "215--222",
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Thu Feb 10 16:53:42 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Verner:1969:IMI,
author = "J. H. Verner",
title = "Implicit Methods for Implicit Differential Equations",
journal = j-LECT-NOTES-MATH,
volume = "109",
pages = "261--266",
year = "1969",
CODEN = "LNMAA2",
ISBN = "3-540-04628-3 (print), 3-540-36158-8 (e-book)",
ISBN-13 = "978-3-540-04628-8 (print), 978-3-540-36158-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Thu May 8 17:39:14 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1960.bib",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0060012",
book-URL = "http://www.springerlink.com/content/978-3-540-36158-9",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@PhdThesis{Verner:1969:NSD,
author = "James H. Verner",
title = "Numerical Solution of Differential Equations",
school = "University of Edinburgh, Scotland",
address = "Department of Computer Science, University of
Edinburgh, Scotland",
pages = "ix + 187 + 3 appendices",
year = "1969",
bibdate = "Thu Feb 10 16:53:28 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@Article{Verner:1969:OSI,
author = "J. H. Verner",
title = "The Order of Some Implicit {Runge--Kutta} Methods",
journal = j-NUM-MATH,
volume = "13",
pages = "14--23",
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Thu Feb 10 16:53:42 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Verner:1970:QID,
author = "J. H. Verner",
title = "Quadratures for Implicit Differential Equations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "7",
number = "3",
pages = "373--385",
month = sep,
year = "1970",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database;
https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InProceedings{Verner:1971:DCH,
author = "J. H. Verner",
editor = "R. S. D. Thomas and H. C. Williams",
booktitle = "Proceedings of the Manitoba Conference on Numerical
Mathematics",
title = "On Deriving Certain Hybrid Methods",
publisher = "Department of Computer Science, University of
Manitoba",
address = "Winnipeg, Manitoba, Canada",
pages = "607--626",
year = "1971",
bibdate = "Thu Feb 10 16:53:46 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@TechReport{Verner:1971:DERa,
author = "J. H. Verner",
title = "On Deriving Explicit {Runge--Kutta} Methods",
number = "5",
institution = "Queen's University, Kingston, Canada",
pages = "1--27",
year = "1971",
bibdate = "Thu Feb 10 16:53:24 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@InProceedings{Verner:1971:DERb,
author = "J. H. Verner",
editor = "J. Ll. Morris",
booktitle = "Conference on Applications of Numerical Analysis",
title = "On Deriving Explicit {Runge--Kutta} Methods",
number = "228",
publisher = pub-SPRINGER,
pages = "340--347",
year = "1971",
ISBN = "0-387-05656-4",
ISBN-13 = "978-0-387-05656-2",
bibdate = "Thu Feb 10 16:53:46 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
note = "Short version of the technical report
\cite{Verner:1971:DERa}",
series = "Lecture Notes in Mathematics",
}
@Article{Cooper:1972:SER,
author = "G. J. Cooper and J. H. Verner",
title = "Some Explicit {Runge--Kutta} Methods of High Order",
journal = j-SIAM-J-NUMER-ANAL,
volume = "9",
number = "3",
pages = "389--405",
month = sep,
year = "1972",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database;
https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Geramita:1976:ODZ,
author = "A. V. Geramita and J. H. Verner",
title = "Orthogonal Designs with Zero Diagonal",
journal = j-CAN-J-MATH,
volume = "XXVIII",
number = "1",
pages = "215--224",
year = "1976",
CODEN = "CJMAAB",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
bibdate = "Thu Feb 10 16:53:42 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@TechReport{Verner:1976:DHO,
author = "J. H. Verner",
title = "The Derivation of High-Order {Runge--Kutta} Methods",
number = "93",
institution = "University of Auckland, New Zealand",
pages = "1--27",
year = "1976",
bibdate = "Thu Feb 10 16:53:24 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@InProceedings{Verner:1976:SRK,
author = "J. H. Verner",
editor = "B. L. Hartnell and H. C. Williams",
booktitle = "Proceedings of the Sixth Manitoba Conference on
Numerical Mathematics",
title = "Selecting a {Runge--Kutta} Method",
publisher = pub-UTIL-MATH,
address = "P.O. Box 7, University centre, University of Manitoba,
Winnipeg, Manitoba R3T 2N2, Canada",
pages = "495--504",
year = "1976",
ISBN = "0-919628-18-4",
ISBN-13 = "978-0-919628-18-2",
bibdate = "Thu Feb 10 16:53:46 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@Article{Verner:1978:ERK,
author = "J. H. Verner",
title = "Explicit {Runge--Kutta} Methods with Estimates of the
Local Truncation Error",
journal = j-SIAM-J-NUMER-ANAL,
volume = "15",
number = "4",
pages = "772--790",
month = aug,
year = "1978",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database;
https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Verner:1979:FIR,
author = "J. H. Verner",
title = "Families of Imbedded {Runge--Kutta} Methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "5",
pages = "857--875",
month = oct,
year = "1979",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65L05",
MRnumber = "81d:65041",
MRreviewer = "Ren{\'e} Alt",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database;
https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InProceedings{Verner:1979:JBA,
author = "J. H. Verner",
editor = "G. H. J. van Rees and H. C. Williams",
booktitle = "Proceedings of the Ninth Manitoba Conference on
Numerical Mathematics",
title = "John Butcher's Algebraic Theory: Motivation for
Selecting Simplifying Conditions",
publisher = pub-UTIL-MATH,
address = "P.O. Box 7, University centre, University of Manitoba,
Winnipeg, Manitoba R3T 2N2, Canada",
pages = "125--155",
year = "1979",
ISBN = "0-919628-27-3",
ISBN-13 = "978-0-919628-27-4",
bibdate = "Thu Feb 10 16:53:46 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@Unpublished{Verner:1982:DEM,
author = "J. H. Verner",
title = "Deriving Explicit Methods",
pages = "1--44",
month = jul,
year = "1982",
bibdate = "Thu Feb 10 16:52:27 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
note = "Text of a presentation at the Canadian Mathematics
Society Seminar on Numerical Analysis",
}
@Article{Verner:1990:CSR,
author = "J. H. Verner",
title = "A Contrast of Some {Runge--Kutta} Formula Pairs",
journal = j-SIAM-J-NUMER-ANAL,
volume = "27",
number = "5",
pages = "1332--1344",
month = oct,
year = "1990",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65L06",
MRnumber = "91g:65179",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database;
https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@TechReport{Sharp:1991:CIR,
author = "P. W. Sharp and J. H. Verner",
title = "Completely Imbedded {Runge--Kutta} Pairs",
number = "1991-01",
institution = "Queen's University, Kingston, Canada",
address = "Department of Mathematics, Queen's University,
Kingston, K7L 3N6, Canada.",
pages = "1--24",
year = "1991",
bibdate = "Thu Feb 10 16:53:24 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
note = "Published in \cite{Sharp:1994:CIR}.",
}
@Article{Verner:1991:SRK,
author = "J. H. Verner",
title = "Some {Runge--Kutta} Formula Pairs",
journal = j-SIAM-J-NUMER-ANAL,
volume = "28",
number = "2",
pages = "496--511",
month = apr,
year = "1991",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65L06",
MRnumber = "92d:65129",
MRreviewer = "H. Brunner",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database;
https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InProceedings{Verner:1992:CSR,
author = "J. H. Verner",
editor = "S. O. Fatunla",
booktitle = "Computational Ordinary Differential Equations",
title = "The Comparison of Some {Runge--Kutta} Formula Pairs
using {DETEST}",
publisher = pub-UP-IBADAN,
address = pub-UP-IBADAN:adr,
pages = "271--284",
year = "1992",
ISBN = "978-2493-21-X",
ISBN-13 = "978-978-2493-21-7",
bibdate = "Mon Jul 11 13:03:19 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
series = "Proceedings of the third and fourth Conferences on
Computational Mathematics",
}
@TechReport{Verner:1993:CER,
author = "J. H. Verner and M. Zennaro",
title = "Continuous Explicit {Runge--Kutta} Methods of Order
5",
number = "1993-08",
institution = "Queen's University, Kingston, Canada",
address = "Department of Mathematics, Queen's University,
Kingston, K7L 3N6, Canada.",
pages = "1--32",
year = "1993",
bibdate = "Thu Feb 10 16:53:24 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@Article{Verner:1993:DIH,
author = "J. H. Verner",
title = "Differentiable Interpolants for High-Order
{Runge--Kutta} Methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "30",
number = "5",
pages = "1446--1466",
month = oct,
year = "1993",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65L05 (34A50 65L07 65L20)",
MRnumber = "94k:65100",
MRreviewer = "Masaharu Nakashima",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@TechReport{Verner:1993:SPP,
author = "J. H. Verner",
title = "Strategies for Pairs, {I}. Pairs of orders 6 and 7",
number = "1993-09",
institution = "Queen's University, Kingston, Canada",
address = "Department of Mathematics, Queen's University,
Kingston, K7L 3N6, Canada.",
pages = "1--24",
year = "1993",
bibdate = "Thu Feb 10 16:53:24 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
note = "To appear in Annals of Numerical Mathematics, Vol. 1",
}
@Article{Sharp:1994:CIR,
author = "P. W. Sharp and J. H. Verner",
title = "Completely Imbedded {Runge--Kutta} Pairs",
journal = j-SIAM-J-NUMER-ANAL,
volume = "31",
number = "4",
pages = "1169--1190",
month = aug,
year = "1994",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65L06",
MRnumber = "95d:65059",
MRreviewer = "Alexander Ostermann",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InProceedings{Verner:1994:CSS,
author = "J. H. Verner",
editor = "S. O. Fatunla",
booktitle = "Scientific Computation",
title = "A Classification Scheme for Studying Explicit
{Runge--Kutta} Pairs",
publisher = pub-ADA-JANE-PRESS,
address = pub-ADA-JANE-PRESS:adr,
pages = "201--225",
year = "1994",
ISBN = "978-32323-1-2",
ISBN-13 = "978-978-32323-1-0",
bibdate = "Mon May 9 18:18:17 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
series = "Proceedings of the Fifth International Conference on
Scientific Computing, Benin City, Nigeria, 1992",
}
@TechReport{Verner:1994:OEC,
author = "J. H. Verner and M. Zennaro",
title = "The Orders of Embedded Continuous Explicit
{Runge--Kutta} Methods",
number = "1994-02",
institution = "Queen's University",
address = "Department of Mathematics, Queen's University,
Kingston, K7L 3N6, Canada.",
pages = "1--11",
year = "1994",
bibdate = "Thu Feb 10 16:53:24 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@Article{Verner:1994:SDN,
author = "J. H. Verner",
title = "Strategies for Deriving New Explicit {Runge--Kutta}
Pairs",
journal = j-ANN-NUM-MATH,
volume = "1",
number = "1-4",
pages = "225--244",
year = "1994",
ISSN = "1021-2655",
bibdate = "Thu Feb 10 16:53:42 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "Annals of Numerical Mathematics",
}
@Article{Verner:1995:CER,
author = "J. H. Verner and M. Zennaro",
title = "Continuous explicit {Runge--Kutta} methods of order
$5$",
journal = j-MATH-COMPUT,
volume = "64",
number = "211",
pages = "1123--1146",
month = jul,
year = "1995",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65L06 (65Y20)",
MRnumber = "95j:65081",
MRreviewer = "J. C. Butcher",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Verner:1995:OEC,
author = "J. H. Verner and M. Zennaro",
title = "The Orders of Embedded Continuous Explicit
{Runge--Kutta} Methods",
journal = j-BIT-NUM-MATH,
volume = "35",
number = "3",
pages = "406--416",
month = sep,
year = "1995",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
MRclass = "65L06",
MRnumber = "98a:65096",
MRreviewer = "S. Sallam",
bibdate = "Fri Nov 13 07:00:34 MST 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit35.html",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@TechReport{Verner:1995:E45,
author = "J. H. Verner and P. W. Sharp",
title = "Explicit {Runge--Kutta} 4--5 Pairs with interpolants",
number = "1995-03",
institution = "Queen's University, Kingston, Canada",
address = "Department of Mathematics, Queen's University,
Kingston, K7L 3N6, Canada.",
pages = "1--20",
year = "1995",
bibdate = "Fri Sept 10 00:00:00 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
}
@Article{Verner:1996:HER,
author = "J. H. Verner",
title = "High-order explicit {Runge--Kutta} pairs with low
stage order",
journal = j-APPL-NUM-MATH,
volume = "22",
number = "1",
pages = "345--357",
month = nov,
year = "1996",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Sat Feb 8 10:05:15 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/verner-jim-hamilton.bib",
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}