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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 5, Pages 672–679 (Mi zvmmf3261)  
This article is cited in 4 scientific papers (total in 4 papers)

Monotonization of a family of implicit schemes

V. I. Pinchukov

Novosibirsk
Full-text PDF (850 kB) Citations (4)
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Abstract: An algorithm is proposed for monotonizing the correction of implicit schemes with high order of approximation of the space derivatives. The transport equation with one space variable is used as an example to prove that the corrected schemes are indeed monotone, provided that the time-step is restricted.
Received: 19.04.1989
Revised: 10.08.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 3, Pages 23–28
DOI: https://doi.org/10.1016/0041-5553(90)90186-V
Bibliographic databases:
Document Type: Article
UDC: 519.6:533.7
MSC: Primary 65M06; Secondary 35L45
Language: Russian
Citation: V. I. Pinchukov, “Monotonization of a family of implicit schemes”, Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990), 672–679; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 23–28
Citation in format AMSBIB
\Bibitem{Pin90}
\by V.~I.~Pinchukov
\paper Monotonization of a~family of implicit schemes
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 5
\pages 672--679
\mathnet{http://mi.mathnet.ru/zvmmf3261}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1058615}
\zmath{https://zbmath.org/?q=an:0724.65086}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 3
\pages 23--28
\crossref{https://doi.org/10.1016/0041-5553(90)90186-V}
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  • https://www.mathnet.ru/eng/zvmmf/v30/i5/p672
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:198
    Full-text PDF :80
    References:36
    First page:1
     
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