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Matematicheskoe modelirovanie, 2011, Volume 23, Number 5, Pages 16–34 (Mi mm3107)  
This article is cited in 9 scientific papers (total in 9 papers)

The geometric structure of the parameter space of the three-stage symplectic Runge–Kutta methods

G. G. Yelenin, P. I. Shlyakhov

Lomonosov Moscow State University
Full-text PDF (271 kB) Citations (9)
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Abstract: The geometric structure of the parameter space of the three-stage symplectic Runge–Kutta methods is established. The elemets of the structure are the loci, corresponding to the methods of different orders of approximation.
Keywords: symplectic Runge–Kutta methods, order of approximation, structure of parameter space.
Received: 26.04.2010
English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 6, Pages 680–689
DOI: https://doi.org/10.1134/S2070048211060020
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: G. G. Yelenin, P. I. Shlyakhov, “The geometric structure of the parameter space of the three-stage symplectic Runge–Kutta methods”, Matem. Mod., 23:5 (2011), 16–34; Math. Models Comput. Simul., 3:6 (2011), 680–689
Citation in format AMSBIB
\Bibitem{YelShl11}
\by G.~G.~Yelenin, P.~I.~Shlyakhov
\paper The geometric structure of the parameter space of the three-stage symplectic Runge--Kutta methods
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 5
\pages 16--34
\mathnet{http://mi.mathnet.ru/mm3107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2866192}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 6
\pages 680--689
\crossref{https://doi.org/10.1134/S2070048211060020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928984392}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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