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Matem. Mod., 2013, Volume 25, Number 5, Pages 15–28 (Mi mm3359)  

This article is cited in 1 scientific paper (total in 1 paper)

Efficient implementation of second order implicit Runge–Kutta methods

L. M. Skvortsov

Bauman Moscow State Technical University

Abstract: Schemes for the implementation of second order implicit Runge–Kutta methods are considered. These schemes allow us to reduce the computational costs when solving stiff problems with low accuracy. Results of their comparison with implicit MATLAB solvers are demonstrated.

Keywords: implicit Runge–Kutta methods, stiff problems, low accuracy methods, efficient implementation.

Full text: PDF file (314 kB)
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English version:
Mathematical Models and Computer Simulations, 2013, 5:6, 565–574

Bibliographic databases:

UDC: 519.622
Received: 07.12.2011
Revised: 28.06.2012

Citation: L. M. Skvortsov, “Efficient implementation of second order implicit Runge–Kutta methods”, Matem. Mod., 25:5 (2013), 15–28; Math. Models Comput. Simul., 5:6 (2013), 565–574

Citation in format AMSBIB
\Bibitem{Skv13}
\by L.~M.~Skvortsov
\paper Efficient implementation of second order implicit Runge--Kutta methods
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 5
\pages 15--28
\mathnet{http://mi.mathnet.ru/mm3359}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3114901}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 6
\pages 565--574
\crossref{https://doi.org/10.1134/S2070048213060124}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925964987}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. L. M. Skvortsov, O. S. Kozlov, “Efficient implementation of diagonally implicit Runge–Kutta methods”, Math. Models Comput. Simul., 6:4 (2014), 415–424  mathnet  crossref
  • Математическое моделирование
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