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Matem. Mod., 2009, Volume 21, Number 11, Pages 19–32 (Mi mm2900)  

This article is cited in 14 scientific papers (total in 14 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

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.

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English version:
Mathematical Models and Computer Simulations, 2010, 2:3, 304–316

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Received: 06.02.2009

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
\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
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 3
\pages 304--316

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    This publication is cited in the following articles:
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    2. Rogov B.V., Mikhailovskaya M.N., “Monotone bicompact schemes for a linear advection equation”, Dokl. Math., 83:1 (2011), 121–125  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
    3. V. S. Chevanin, “Chislennoe modelirovanie zadach turbulentnogo peremeshivaniya na osnove kvazimonotonnoi skhemy povyshennogo poryadka tochnosti”, Preprinty IPM im. M. V. Keldysha, 2011, 032, 28 pp.  mathnet
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    5. M. N. Mikhailovskaya, B. V. Rogov, “Monotone compact running schemes for systems of hyperbolic equations”, Comput. Math. Math. Phys., 52:4 (2012), 672–695  mathnet  crossref  mathscinet  isi  elib  elib
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