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A variable-step variable-order algorithm for systems of stiff ODEs

Tanja Van Hecke (UGent) , Guido Vanden Berghe (UGent) , Marnix Van Daele (UGent) and Hans De Meyer (UGent)
(1997) INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. 63(1-2). p.149-157
Author
Organization
Abstract
A variable-step variable-order algorithm for stiff ODEs based on previously derived stabilized extended one-step methods is established. The developed code is tested on certain initial-value problems for systems of ODEs contained in the test set proposed by CWI.
Keywords
NUMERICAL-SOLUTION, INTEGRATION, ORDINARY DIFFERENTIAL-EQUATIONS, numerical algorithms, L-stability, A-stability, extended one-step methods, initial-value problems, ODEs

Citation

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MLA
Van Hecke, Tanja, et al. “A Variable-Step Variable-Order Algorithm for Systems of Stiff ODEs.” INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol. 63, no. 1–2, 1997, pp. 149–57, doi:10.1080/00207169708804557.
APA
Van Hecke, T., Vanden Berghe, G., Van Daele, M., & De Meyer, H. (1997). A variable-step variable-order algorithm for systems of stiff ODEs. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 63(1–2), 149–157. https://doi.org/10.1080/00207169708804557
Chicago author-date
Van Hecke, Tanja, Guido Vanden Berghe, Marnix Van Daele, and Hans De Meyer. 1997. “A Variable-Step Variable-Order Algorithm for Systems of Stiff ODEs.” INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 63 (1–2): 149–57. https://doi.org/10.1080/00207169708804557.
Chicago author-date (all authors)
Van Hecke, Tanja, Guido Vanden Berghe, Marnix Van Daele, and Hans De Meyer. 1997. “A Variable-Step Variable-Order Algorithm for Systems of Stiff ODEs.” INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 63 (1–2): 149–157. doi:10.1080/00207169708804557.
Vancouver
1.
Van Hecke T, Vanden Berghe G, Van Daele M, De Meyer H. A variable-step variable-order algorithm for systems of stiff ODEs. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. 1997;63(1–2):149–57.
IEEE
[1]
T. Van Hecke, G. Vanden Berghe, M. Van Daele, and H. De Meyer, “A variable-step variable-order algorithm for systems of stiff ODEs,” INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol. 63, no. 1–2, pp. 149–157, 1997.
@article{182108,
  abstract     = {{A variable-step variable-order algorithm for stiff ODEs based on previously derived stabilized extended one-step methods is established. The developed code is tested on certain initial-value problems for systems of ODEs contained in the test set proposed by CWI.}},
  author       = {{Van Hecke, Tanja and Vanden Berghe, Guido and Van Daele, Marnix and De Meyer, Hans}},
  issn         = {{0020-7160}},
  journal      = {{INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS}},
  keywords     = {{NUMERICAL-SOLUTION,INTEGRATION,ORDINARY DIFFERENTIAL-EQUATIONS,numerical algorithms,L-stability,A-stability,extended one-step methods,initial-value problems,ODEs}},
  language     = {{eng}},
  number       = {{1-2}},
  pages        = {{149--157}},
  title        = {{A variable-step variable-order algorithm for systems of stiff ODEs}},
  url          = {{http://doi.org/10.1080/00207169708804557}},
  volume       = {{63}},
  year         = {{1997}},
}
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