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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 6, Pages 959–967 (Mi zvmmf4593)  

This article is cited in 17 scientific papers (total in 17 papers)

Explicit multistep method for the numerical solution of stiff differential equations

L. M. Skvortsov

Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 107005, Russia
References:
Abstract: An explicit multistep method of variable order for integrating stiff systems with high accuracy and low computational costs is examined. To stabilize the computational scheme, componentwise estimates are used for the eigenvalues of the Jacobian matrix having the greatest moduli. These estimates are obtained at preliminary stages of the integration step. Examples are given to demonstrate that, for certain stiff problems, the method proposed is as efficient as the best implicit methods.
Key words: stiff Cauchy problem for ODE, explicit multistep method, stabilization, adaptation.
Received: 30.05.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 6, Pages 915–923
DOI: https://doi.org/10.1134/S0965542507060036
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: L. M. Skvortsov, “Explicit multistep method for the numerical solution of stiff differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007), 959–967; Comput. Math. Math. Phys., 47:6 (2007), 915–923
Citation in format AMSBIB
\Bibitem{Skv07}
\by L.~M.~Skvortsov
\paper Explicit multistep method for the numerical solution of stiff differential equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 6
\pages 959--967
\mathnet{http://mi.mathnet.ru/zvmmf4593}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 6
\pages 915--923
\crossref{https://doi.org/10.1134/S0965542507060036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547256286}
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  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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