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Matematicheskoe Modelirovanie i Chislennye Metody, 2014, Issue 4, Pages 95–119 (Mi mmcm28)  
This article is cited in 4 scientific papers (total in 4 papers)

Development and testing for methods of solving stiff ordinary differential equations

M. P. Galaninab, S. R. Khodzhaevab

a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
b Bauman Moscow State Technical University
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Abstract: The paper is aimed at research of the (m,k)-method, CROS, finite superelement method and 4-stage explicit Runge–Kutta method for solving stiff systems of ordinary differential equations. Analysis of tests results showed that the best choice for systems with high stiffness is CROS. The finite superelement method is the «precise» method for solving linear systems of ordinary differential equations, the best supporting method for its implementation is (4,2)-method. The variation of the finite superelement method has been built and tested for solving nonlinear problems, this method proved to be unsuitable for problems with high stiffness.
Keywords: The paper is aimed at research of the (m,k)-method, cros, finite superelement method and 4-stage explicit runge–kutta method for solving stiff systems of ordinary differential equations. analysis of tests results showed that the best choice for systems with high stiffness is cros. the finite superelement method is the «precise» method for solving linear systems of ordinary differential equations, the best supporting method for its implementation is (4,2)-method. the variation of the finite superelement method has been built and tested for solving nonlinear problems, this method proved to be unsuitable for problems with high stiffness.
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. P. Galanin, S. R. Khodzhaeva, “Development and testing for methods of solving stiff ordinary differential equations”, Mat. Mod. Chisl. Met., 2014, no. 4, 95–119
Citation in format AMSBIB
\Bibitem{GalKho14}
\by M.~P.~Galanin, S.~R.~Khodzhaeva
\paper Development and testing for methods of solving stiff ordinary differential equations
\jour Mat. Mod. Chisl. Met.
\yr 2014
\issue 4
\pages 95--119
\mathnet{http://mi.mathnet.ru/mmcm28}
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    • This publication is cited in the following 4 articles:
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