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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 8(89), Pages 59–68 (Mi vsgu124)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

L-stable (4,2)-method of the fourth order for solving stiff problems

E. A. Novikov

Institute of Computational Mo\-delling, SB RAS, Krasnoyarsk, 660036, Russian Federation
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Abstract: (M,k)-methods for solving stiff problems, in which on each step two times the right-hand side of the system of differential equations is calculated are investigated. It is shown that the maximum order of accuracy of the L-stable (m,2)-method is equal to four. (4,2)-method of maximal order is built.
Keywords: stiff problem, methods of Rosenbrock, (m,k)-methods, L-stability.
Received: 18.05.2011
Revised: 19.06.2011
Document Type: Article
UDC: 519.622
Language: Russian
Citation: E. A. Novikov, “L-stable (4,2)-method of the fourth order for solving stiff problems”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 8(89), 59–68
Citation in format AMSBIB
\Bibitem{Nov11}
\by E.~A.~Novikov
\paper L-stable (4,2)-method of the fourth order for solving stiff problems
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2011
\issue 8(89)
\pages 59--68
\mathnet{http://mi.mathnet.ru/vsgu124}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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