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Preprints of the Keldysh Institute of Applied Mathematics, 2017, 018, 28 pp.
DOI: https://doi.org/10.20948/prepr-2017-18 (Mi ipmp2234) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On one numerical method for solving ordinary differential equations

M. P. Galanin, S. A. Konev
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DOI: https://doi.org/10.20948/prepr-2017-18
Abstract: The method for solving stiff systems of ordinary differential equations based on calculation of matrix exponent is introduced. In addition, the method of accuracy control for linear problems is developed. Computational results for linear and non-linear problems and their dependencies on problem and method parameters are shown.
Keywords: chemical kinetics, stiff systems, matrix exponent, exponential integrator, Van der Pol oscillator.
Document Type: Preprint
Language: Russian
Citation: M. P. Galanin, S. A. Konev, “On one numerical method for solving ordinary differential equations”, Keldysh Institute preprints, 2017, 018, 28 pp.
Citation in format AMSBIB
\Bibitem{GalKon17}
\by M.~P.~Galanin, S.~A.~Konev
\paper On one numerical method for solving ordinary differential equations
\jour Keldysh Institute preprints
\yr 2017
\papernumber 018
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp2234}
\crossref{https://doi.org/10.20948/prepr-2017-18}
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  • https://www.mathnet.ru/eng/ipmp/y2017/p18
    • This publication is cited in the following 4 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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