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Matematicheskoe modelirovanie, 2013, Volume 25, Number 5, Pages 15–28 (Mi mm3359)  
This article is cited in 4 scientific papers (total in 4 papers)

Efficient implementation of second order implicit Runge–Kutta methods

L. M. Skvortsov

Bauman Moscow State Technical University
Full-text PDF (314 kB) Citations (4)
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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.
Received: 07.12.2011
Revised: 28.06.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 6, Pages 565–574
DOI: https://doi.org/10.1134/S2070048213060124
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: L. M. Skvortsov, “Efficient implementation of second order implicit Runge–Kutta methods”, Mat. Model., 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 Mat. Model.
\yr 2013
\vol 25
\issue 5
\pages 15--28
\mathnet{http://mi.mathnet.ru/mm3359}
\mathscinet{http://mathscinet.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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  • https://www.mathnet.ru/eng/mm3359
  • https://www.mathnet.ru/eng/mm/v25/i5/p15
    • This publication is cited in the following 4 articles:
    1. E. B. Kuznetsov, S. S. Leonov, E. D. Tsapko, “Estimating the domain of absolute stability of a numerical scheme based on the method of solution continuation with respect to a parameter for solving stiff initial value problems”, Comput. Math. Math. Phys., 63:4 (2023), 528–541  mathnet  mathnet  crossref  crossref
    2. Saraskanroud F.M., Jeffrey I., “A Comparison of Time-Domain and Frequency-Domain Microwave Imaging of Experimental Targets”, IEEE Trans. Comput. Imaging, 7 (2021), 611–623  crossref  mathscinet  isi
    3. Lee H., Lee N., “Wet-Dry Moving Boundary Treatment For Runge-Kutta Discontinuous Galerkin Shallow Water Equation Model”, KSCE J. Civ. Eng., 20:2 (2016), 978–989  crossref  isi
    4. 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
    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:668
    Full-text PDF :313
    References:77
    First page:43
     
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