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Matematicheskoe modelirovanie, 2009, Volume 21, Number 8, Pages 44–62 (Mi mm2866)  
This article is cited in 5 scientific papers (total in 5 papers)

1D and 2D bicompact schemes in layered mediums

N. N. Kalitkin, P. V. Koryakin

Institute for Mathematical Modelling RAS
Full-text PDF (374 kB) Citations (5)
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Abstract: New type of differential schemes – so called bicompact schemes was considered. To derive such schemes we transform PDE into system of PDEs. Spatial derivatives are approximated on 2-points stencil, i.e. within single grid step. In layered mediums bicompact schemes keep their approximation if we set a special grid in a way that all points where coefficients have breaks are nodes of the grid. Two schemes for 1-dimensional hyperbolic problem were considered in details and schemes for 2D problems are given.
Received: 27.02.2008
English version:
Mathematical Models and Computer Simulations, 2010, Volume 2, Issue 2, Pages 139–155
DOI: https://doi.org/10.1134/S2070048210020018
Bibliographic databases:
Language: Russian
Citation: N. N. Kalitkin, P. V. Koryakin, “1D and 2D bicompact schemes in layered mediums”, Matem. Mod., 21:8 (2009), 44–62; Math. Models Comput. Simul., 2:2 (2010), 139–155
Citation in format AMSBIB
\Bibitem{KalKor09}
\by N.~N.~Kalitkin, P.~V.~Koryakin
\paper 1D and 2D bicompact schemes in layered mediums
\jour Matem. Mod.
\yr 2009
\vol 21
\issue 8
\pages 44--62
\mathnet{http://mi.mathnet.ru/mm2866}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2596678}
\zmath{https://zbmath.org/?q=an:05702484}
\transl
\jour Math. Models Comput. Simul.
\yr 2010
\vol 2
\issue 2
\pages 139--155
\crossref{https://doi.org/10.1134/S2070048210020018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929076303}
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    • This publication is cited in the following 5 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 :247
    References:88
    First page:15
     
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