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Initial Value Routines in the NAG Library

Editor: John R. Rice Author:

Ian GladwellAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 5, Issue 4

Pages 386 - 400

https://doi.org/10.1145/355853.355856

Published: 01 December 1979 Publication History

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Shampine LJay L(2015)Dense OutputEncyclopedia of Applied and Computational Mathematics10.1007/978-3-540-70529-1_107(339-345)Online publication date: 21-Nov-2015
https://doi.org/10.1007/978-3-540-70529-1_107
Tsitouras C(2007)Runge–Kutta interpolants for high precision computationsNumerical Algorithms10.1007/s11075-007-9104-444:3(291-307)Online publication date: 12-Jun-2007
https://doi.org/10.1007/s11075-007-9104-4
Dahlquist GEdsberg LSköllermo GSöderlind G(2006)Are the numerical methods and software satisfactory for chemical kinetics?Numerical Integration of Differential Equations and Large Linear Systems10.1007/BFb0064886(149-164)Online publication date: 25-Aug-2006
https://doi.org/10.1007/BFb0064886
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Index Terms

Initial Value Routines in the NAG Library
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
  2. Mathematical software

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cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 5, Issue 4

Dec. 1979

153 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/355853

Editor:
John R. Rice

Issue’s Table of Contents

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 December 1979

Published in TOMS Volume 5, Issue 4

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Shampine LJay L(2015)Dense OutputEncyclopedia of Applied and Computational Mathematics10.1007/978-3-540-70529-1_107(339-345)Online publication date: 21-Nov-2015
https://doi.org/10.1007/978-3-540-70529-1_107
Tsitouras C(2007)Runge–Kutta interpolants for high precision computationsNumerical Algorithms10.1007/s11075-007-9104-444:3(291-307)Online publication date: 12-Jun-2007
https://doi.org/10.1007/s11075-007-9104-4
Dahlquist GEdsberg LSköllermo GSöderlind G(2006)Are the numerical methods and software satisfactory for chemical kinetics?Numerical Integration of Differential Equations and Large Linear Systems10.1007/BFb0064886(149-164)Online publication date: 25-Aug-2006
https://doi.org/10.1007/BFb0064886
Antohe VGladwell I(2003)Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systemsComputers & Mathematics with Applications10.1016/S0898-1221(03)80032-945:1-3(481-501)Online publication date: Jan-2003
https://doi.org/10.1016/S0898-1221(03)80032-9
Paiano GPellicoro M(2001)Propagation constant of weakly guiding optical fibers: a new eigenvalue conditionJournal of Lightwave Technology10.1109/50.95614719:10(1592-1597)Online publication date: Jan-2001
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Papageorgiou GTsitouras C(1997)Continuous extensions to high order runge-kutta methodsInternational Journal of Computer Mathematics10.1080/0020716970880461665:3-4(273-291)Online publication date: Jan-1997
https://doi.org/10.1080/00207169708804616
Shampine LGladwell I(1996)Software based on explicit RK formulasApplied Numerical Mathematics10.1016/S0168-9274(96)00039-622:1-3(293-308)Online publication date: Nov-1996
https://doi.org/10.1016/S0168-9274(96)00039-6
Hosea MShampine L(1994)Estimating the error of the classic Runge–Kutta FormulaApplied Mathematics and Computation10.1016/0096-3003(94)90117-166:2-3(217-226)Online publication date: Dec-1994
https://doi.org/10.1016/0096-3003(94)90117-1
Butcher JJohnston P(1993)Estimating local truncation errors for Runge-Kutta methodsJournal of Computational and Applied Mathematics10.1016/0377-0427(93)90275-G45:1-2(203-212)Online publication date: 8-Apr-1993
https://dl.acm.org/doi/10.1016/0377-0427%2893%2990275-G
Lucks MGladwell I(1992)Automated selection of mathematical softwareACM Transactions on Mathematical Software10.1145/128745.12874718:1(11-34)Online publication date: 1-Mar-1992
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