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Matematicheskoe modelirovanie, 2013, Volume 25, Number 10, Pages 79–96 (Mi mm3392)  
This article is cited in 17 scientific papers (total in 17 papers)

Computations with inverse Runge–Kutta schemes

N. N. Kalitkin, I. P. Poshivaylo

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow
Full-text PDF (463 kB) Citations (17)
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Abstract: New subclass of fully implicit Runge–Kutta schemes is considered. This subclass has outstanding accuracy and stability characteristics. Implementation details of iterative algorithm for solving stiff systems of ODE and differential-algebraic systems with inverse Runge–Kutta schemes are described.
Keywords: stiff systems, differential-algebraic systems, implicit Runge–Kutta schemes.
Received: 29.10.2012
Revised: 21.01.2013
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 3, Pages 272–285
DOI: https://doi.org/10.1134/S2070048214030077
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Kalitkin, I. P. Poshivaylo, “Computations with inverse Runge–Kutta schemes”, Matem. Mod., 25:10 (2013), 79–96; Math. Models Comput. Simul., 6:3 (2014), 272–285
Citation in format AMSBIB
\Bibitem{KalPos13}
\by N.~N.~Kalitkin, I.~P.~Poshivaylo
\paper Computations with inverse Runge--Kutta schemes
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 10
\pages 79--96
\mathnet{http://mi.mathnet.ru/mm3392}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3220570}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 3
\pages 272--285
\crossref{https://doi.org/10.1134/S2070048214030077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925959555}
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    • This publication is cited in the following 17 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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