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Cited by 3,599

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The MATLAB ODE Suite

Shampine, Lawrence F., Reichelt, Mark W.·1997·SIAM Journal on Scientific Computing
DOI 10.1137/s1064827594276424
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Abstract

This paper describes mathematical and software developments for a suite of programs for solving ordinary differential equations in MATLAB.

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Research works printed but not linked: 34

  1. S. Dey, Linearized D‐mapping for stiff computations, IMACS Trans. Sci. Comput.—85, I, North‐Holland, Amsterdam, 1986, 153–15588j:65145 · doi:10.1016/b978-0-444-70067-4.50024-8
  2. 10.1007/BF01418331 · DOI · Paper page
  3. 10.1016/0893-9659(89)90079-7 · DOI
  4. R. W. Brankin, I. Gladwell, and L. F. Shampine, RKSUITE: A suite of Runge‐Kutta codes for the initial value problem for ODEs , Tech. Report 92‐S1, Math. Dept., Southern Methodist Univ., Dallas, TX, 1992. · doi:10.1142/9789812798886_0004
  5. 10.1109/PROC.1972.8562 · doi:10.1109/proc.1972.8562
  6. Brenan K., 1996, Numerical solution of initial‐value problems in differential‐algebraic equations
  7. 10.1137/0910062 · DOI · Paper page
  8. 10.1145/355626.355636 · DOI · Paper page
  9. 10.1145/1271.1610 · doi:10.1145/1271.1610
  10. A. Curtis, The facsimile numerical integrator for stiff initial value problems, Academic Press, London, 1980, 47–8284g:65087
  11. 10.1137/1027140 · doi:10.1137/1027140
  12. 10.1016/0771-050X(80)90013-3 · DOI · Paper page
  13. 10.1016/0898-1221(86)90025-8 · doi:10.1016/0898-1221(86)90025-8
  14. W. H. Enright and T. E. Hull, Comparing numerical methods for the solution of stiff systems of ODE’s arising in chemistry , in Numerical Methods for Differential Systems, L. Lapidus and W. Schiesser, eds., Academic, New York, 1976, pp. 45–66. · doi:10.1016/b978-0-12-436640-4.50008-3
  15. 10.1007/BF01932994 · doi:10.1007/bf01932994
  16. 10.1145/356068.356073 · doi:10.1145/356068.356073
  17. 10.1137/0711080 · doi:10.1137/0711080
  18. 10.1137/0613024 · DOI · Paper page
  19. 10.1007/978-3-642-05221-7 · DOI · Paper page
  20. 10.1145/1218052.1218054 · DOI · Paper page
  21. A. C. Hindmarsh and G. D. Byrne, Applications of EPISODE: An experimental package for the integration of systems of ordinary differential equations , in Numerical Methods for Differential Systems, L. Lapidus and W. Schiesser, eds., Academic, New York, 1976, pp. 147–166. · DOI
  22. Klopfenstein R., 1971, RCA Rev., 32, 447
  23. 10.1137/0710081 · doi:10.1137/0710081
  24. L. Lapidus, R. C. Aiken, and Y. A. Liu, The occurrence and numerical solution of physical and chemical systems having widely varying time constants , in Stiff Differential Systems, R. Willoughby, ed., Plenum Press, New York, 1974, pp. 187–200. · doi:10.1007/978-1-4684-2100-2_15
  25. 10.1002/aic.690140204 · doi:10.1002/aic.690140204
  26. 10.1080/00207168108803229 · doi:10.1080/00207168108803229
  27. 10.1137/0901005 · doi:10.1137/0901005
  28. 10.1145/355972.355973 · doi:10.1145/355972.355973
  29. 10.1145/355993.355994 · doi:10.1145/355993.355994
  30. 10.1137/S003614299426358X · doi:10.1137/s003614299426358x
  31. 10.1016/0377-0427(84)90020-7 · doi:10.1016/0377-0427(84)90020-7
  32. Shampine L., 1975, Computer solution of ordinary differential equations
  33. 10.1090/S0025-5718-1979-0521273-8 · doi:10.1090/s0025-5718-1979-0521273-8
  34. 10.1016/0898-1221(90)90011-8 · doi:10.1016/0898-1221(90)90011-8

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Metadata

Authors
Shampine, L. F., & Reichelt, M. W.
Venue
SIAM Journal on Scientific Computing
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Published
1997-01
Volume
18
Issue
1
Pages
1-22
ISSN
  • 1064-8275 (ISSN-L)
  • 1095-7197
DOI
10.1137/s1064827594276424
OpenAlex
W2117453669
Cited by
3,599
References
0
FWCI
25.51
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The MATLAB ODE Suite. https://app.cochat.ai/papers/10.1137/s1064827594276424
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Shampine, L. F., & Reichelt, M. W. (1997). The MATLAB ODE Suite. SIAM Journal on Scientific Computing. https://doi.org/10.1137/s1064827594276424

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.