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Matematicheskoe modelirovanie, 2010, Volume 22, Number 5, Pages 146–160 (Mi mm2980)  
This article is cited in 7 scientific papers (total in 7 papers)

Model equations for accuracy investigation of Runge–Kutta methods

L. M. Skvortsov

Bauman Moscow State Technical University
Full-text PDF (263 kB) Citations (7)
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Abstract: The simplest equations are considered that simulate the behavior of various error components of Runge–Kutta methods. The expressions for the local and global errors are obtained. The minimization of these errors allows one to construct explicit and implicit methods that have an improved accuracy when solving stiff and differential-algebraic problems.
Keywords: Runge–Kutta methods, still problems, differential-algebraic problems, order reduction phenomen.
Received: 16.04.2009
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 6, Pages 800–811
DOI: https://doi.org/10.1134/S2070048210060165
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: L. M. Skvortsov, “Model equations for accuracy investigation of Runge–Kutta methods”, Matem. Mod., 22:5 (2010), 146–160; Math. Models Comput. Simul., 2:6 (2010), 800–811
Citation in format AMSBIB
\Bibitem{Skv10}
\by L.~M.~Skvortsov
\paper Model equations for accuracy investigation of Runge--Kutta methods
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 5
\pages 146--160
\mathnet{http://mi.mathnet.ru/mm2980}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2723855}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 6
\pages 800--811
\crossref{https://doi.org/10.1134/S2070048210060165}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929073186}
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    • This publication is cited in the following 7 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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    Abstract page:561
    Full-text PDF :247
    References:59
    First page:21
     
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