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Matematicheskoe modelirovanie, 2014, Volume 26, Number 1, Pages 96–108 (Mi mm3441)  
This article is cited in 6 scientific papers (total in 6 papers)

Efficient implementation of diagonally implicit Runge–Kutta methods

L. M. Skvortsov, O. S. Kozlov

Bauman Moscow State Technical University
Full-text PDF (333 kB) Citations (6)
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Abstract: Efficient schemes for the implementation of diagonally implicit Runge-Kutta methods are considered. Methods of 3-rd and 4-th orders are implemented. They are compared with known implicit solvers when applied to stiff and differential-algebraic problems.
Keywords: diagonally implicit Runge–Kutta methods, stiff problems, differential-algebraic problems, efficient implementation.
Received: 12.09.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 4, Pages 415–424
DOI: https://doi.org/10.1134/S2070048214040085
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: L. M. Skvortsov, O. S. Kozlov, “Efficient implementation of diagonally implicit Runge–Kutta methods”, Matem. Mod., 26:1 (2014), 96–108; Math. Models Comput. Simul., 6:4 (2014), 415–424
Citation in format AMSBIB
\Bibitem{SkvKoz14}
\by L.~M.~Skvortsov, O.~S.~Kozlov
\paper Efficient implementation of diagonally implicit Runge--Kutta methods
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 1
\pages 96--108
\mathnet{http://mi.mathnet.ru/mm3441}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 4
\pages 415--424
\crossref{https://doi.org/10.1134/S2070048214040085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925970197}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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