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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 146, 34 pp.
DOI: https://doi.org/10.20948/prepr-2019-146 (Mi ipmp2784) 		 
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
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DOI: https://doi.org/10.20948/prepr-2019-146
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.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00175_а
Document Type: Preprint
UDC: 519.6
Language: Russian
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.
Citation in format AMSBIB
\Bibitem{BelBulKal19}
\by A.~A.~Belov, P.~E.~Bulatov, N.~N.~Kalitkin
\paper Comparative analysis of automatic step selection algorithms for stiff Cauchy problems
\jour Keldysh Institute preprints
\yr 2019
\papernumber 146
\totalpages 34
\mathnet{http://mi.mathnet.ru/ipmp2784}
\crossref{https://doi.org/10.20948/prepr-2019-146}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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