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Matematicheskoe modelirovanie, 2011, Volume 23, Number 7, Pages 73–87 (Mi mm3132)  
This article is cited in 5 scientific papers (total in 5 papers)

Explicit adaptive Runge–Kutta methods

L. M. Skvortsov

Bauman Moscow State Technical University
Full-text PDF (365 kB) Citations (5)
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Abstract: Adjusting the parameters of the integration formula to the problem under solution allows us to increase considerably efficiency of explicit Runge–Kutta methods when solving stiff problems. Construction of such adaptive methods is considered. Results of the solution of test problems in comparison with known methods are presented.
Keywords: explicit Runge–Kutta methods, stiff problems, nonstiff problems.
Received: 07.12.2010
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 1, Pages 82–91
DOI: https://doi.org/10.1134/S2070048212010127
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: L. M. Skvortsov, “Explicit adaptive Runge–Kutta methods”, Matem. Mod., 23:7 (2011), 73–87; Math. Models Comput. Simul., 4:1 (2012), 82–91
Citation in format AMSBIB
\Bibitem{Skv11}
\by L.~M.~Skvortsov
\paper Explicit adaptive Runge--Kutta methods
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 7
\pages 73--87
\mathnet{http://mi.mathnet.ru/mm3132}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2895744}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 1
\pages 82--91
\crossref{https://doi.org/10.1134/S2070048212010127}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928989867}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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