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Matematicheskoe modelirovanie, 2012, Volume 24, Number 12, Pages 129–136 (Mi mm3235)  
This article is cited in 1 scientific paper (total in 1 paper)

Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge–Kutta schemes

A. M. Zubanov, P. D. Shirkov

Dmitrov Branch of International University of Nature, Society and Man “Dubna”
Full-text PDF (292 kB) Citations (1)
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Abstract: One step free of iterations methods for numerical solution of Cauchy problem for ordinary differential systems of equations there are described. They are equivalent to stiffly accurate 2-stages Runge–Kutta schemes for linear problems (autonomous as well as non-autonomous). Stiff tests such as autonomous Kaps system and non-autonomous Prothero-Robinson problem have been used for numerical study of methods accuracy.
Keywords: one-step methods, stiffly accurate Runge–Kutta schemes, numerical order of accuracy, schemes with complex coefficients.
Received: 01.10.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 4, Pages 350–355
DOI: https://doi.org/10.1134/S2070048213040133
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: A. M. Zubanov, P. D. Shirkov, “Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge–Kutta schemes”, Matem. Mod., 24:12 (2012), 129–136; Math. Models Comput. Simul., 5:4 (2013), 350–355
Citation in format AMSBIB
\Bibitem{ZubShi12}
\by A.~M.~Zubanov, P.~D.~Shirkov
\paper Numerical study of one-step lineary implicit methods which are L-equivalent to stiffly accurate two-stages Runge--Kutta schemes
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 12
\pages 129--136
\mathnet{http://mi.mathnet.ru/mm3235}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099817}
\elib{https://elibrary.ru/item.asp?id=21276721}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 4
\pages 350--355
\crossref{https://doi.org/10.1134/S2070048213040133}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928990081}
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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
    		Математическое моделирование
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