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This article is cited in 1 scientific paper (total in 1 paper)
Comparative analysis of automatic step selection algorithms for stiff Cauchy problems
A. A. Belov, P. E. Bulatov, N. N. Kalitkin
Abstract:
Automatic step selection algorithms are widely used to solve stiff Cauchy problems. The Gear and Dormand–Prince packages are the most popular ones. These methods are well established being used in soft problems but they can malfunction in stiff ones. Moreover, they do not provide guaranteed error estimation. The cases are known where the real error exceeds the user defined one by many orders of magnitude. In that work the new problem examples are found in which standard algorithms lose robustness.
Keywords:
stiff Cauchy problems, Gear method, Dormand–Prince method, chemical kinetics, Arenstorf problem.
Citation:
A. A. Belov, P. E. Bulatov, N. N. Kalitkin, “Comparative analysis of automatic step selection algorithms for stiff Cauchy problems”, Keldysh Institute preprints, 2019, 146, 34 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2784 https://www.mathnet.ru/eng/ipmp/y2019/p146
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Abstract page: | 155 | Full-text PDF : | 70 | References: | 21 |
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