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Matematicheskoe modelirovanie, 2009, Volume 21, Number 11, Pages 19–32 (Mi mm2900)  
This article is cited in 17 scientific papers (total in 17 papers)

About one choice of essentially non-oscillatory high occuracy order difference scheme for systems of conservation laws

M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, V. S. Chevanin

Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (336 kB) Citations (17)
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Abstract: Version of essentially non-oscillatory high occuracy order difference scheme for systems of conservation laws, based on minimization for norm of interpolation polynomial deviation from the cell averages was suggested in this paper. Such choice can give more monotonous solution in comparision with traditional ENO and WENO schemes of corresponding occuracy order, that was confirmed by results of numerical calculation for model problems.
Received: 06.02.2009
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 3, Pages 304–316
DOI: https://doi.org/10.1134/S207004821003004X
Bibliographic databases:
Language: Russian
Citation: M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, V. S. Chevanin, “About one choice of essentially non-oscillatory high occuracy order difference scheme for systems of conservation laws”, Matem. Mod., 21:11 (2009), 19–32; Math. Models Comput. Simul., 2:3 (2010), 304–316
Citation in format AMSBIB
\Bibitem{LadNekTis09}
\by M.~E.~Ladonkina, O.~A.~Neklyudova, V.~F.~Tishkin, V.~S.~Chevanin
\paper About one choice of essentially non-oscillatory high occuracy order difference scheme for systems of conservation laws
\jour Matem. Mod.
\yr 2009
\vol 21
\issue 11
\pages 19--32
\mathnet{http://mi.mathnet.ru/mm2900}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2649944}
\zmath{https://zbmath.org/?q=an:05769293}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 3
\pages 304--316
\crossref{https://doi.org/10.1134/S207004821003004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860548849}
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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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    Full-text PDF :254
    References:72
    First page:16
     
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