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Matematicheskoe modelirovanie, 2001, Volume 13, Number 2, Pages 17–26 (Mi mm672)  

This article is cited in 4 scientific papers (total in 4 papers)

International Conference on Environmental Mathematical Modeling and Numerical Analysis (Rostov-on-Don)

Monotone difference schemes for equations with mixed derivative

A. A. Samarskiia, V. I. Mazhukina, P. P. Matusb, G. I. Shishkinc

a Institute for Mathematical Modelling, Russian Academy of Sciences
b Institute of Mathematics, National Academy of Sciences of the Republic of Belarus
c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (733 kB) Citations (4)
Abstract: There are considered elliptic and parabolic equations of arbitrary dimension with alternating coefficients at mixed derivatives. For such equations monotone difference schemes of the second order of local approximation are constructed. Schemes suggested satisfy the principle of maximum. A priori estimates of stability in the norm $С$ without limitation on the grid steps $\tau$ and $h_\alpha$, $\alpha=l,2,\dots,p$ are obtained (unconditional stability).
Received: 29.10.1999
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Language: Russian
Citation: A. A. Samarskii, V. I. Mazhukin, P. P. Matus, G. I. Shishkin, “Monotone difference schemes for equations with mixed derivative”, Matem. Mod., 13:2 (2001), 17–26
Citation in format AMSBIB
\Bibitem{SamMazMat01}
\by A.~A.~Samarskii, V.~I.~Mazhukin, P.~P.~Matus, G.~I.~Shishkin
\paper Monotone difference schemes for equations with mixed derivative
\jour Matem. Mod.
\yr 2001
\vol 13
\issue 2
\pages 17--26
\mathnet{http://mi.mathnet.ru/mm672}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861660}
\zmath{https://zbmath.org/?q=an:1012.65103}
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  • 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
    Математическое моделирование
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