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Matematicheskoe modelirovanie, 2012, Volume 24, Number 9, Pages 97–112 (Mi mm3313)  

This article is cited in 19 scientific papers (total in 19 papers)

On monotony of two layer in time cabaret scheme

O. A. Kovyrkinaab, V. V. Ostapenkoab

a Lavrentyev Institute of Hydrodynamics SD RAS, Novosibirsk
b Novosibirsk State University
References:
Abstract: The monotony analysis of two-layer in time cabaret scheme is carried out. It is shown that there is no local unitary correction of flux variables which would provide monotony of this scheme at any monotonous initial data. It is offered a modification of two-layer in time cabaret scheme, connected with double correction of flux variables, which in case of a variable time step guarantees monotony of the scheme at any Currant numbers at which it is stable. The results of the test calculations illustrating advantages of the modified scheme are listed.
Keywords: two-layer in time cabaret scheme, monotony, correction of flux variables.
Received: 23.01.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 2, Pages 180–189
DOI: https://doi.org/10.1134/S2070048213020051
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: O. A. Kovyrkina, V. V. Ostapenko, “On monotony of two layer in time cabaret scheme”, Matem. Mod., 24:9 (2012), 97–112; Math. Models Comput. Simul., 5:2 (2013), 180–189
Citation in format AMSBIB
\Bibitem{KovOst12}
\by O.~A.~Kovyrkina, V.~V.~Ostapenko
\paper On monotony of two layer in time cabaret scheme
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 9
\pages 97--112
\mathnet{http://mi.mathnet.ru/mm3313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3053263}
\elib{https://elibrary.ru/item.asp?id=21276794}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 2
\pages 180--189
\crossref{https://doi.org/10.1134/S2070048213020051}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928988073}
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  • https://www.mathnet.ru/eng/mm/v24/i9/p97
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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