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Mathematics of the USSR-Sbornik, 1987, Volume 57, Issue 2, Pages 351–369
DOI: https://doi.org/10.1070/SM1987v057n02ABEH003072 (Mi sm1831) 		 
This article is cited in 30 scientific papers (total in 30 papers)

Averagind of difference schemes

S. M. Kozlov
English version PDF (1076 kB) Citations (30)
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DOI: https://doi.org/10.1070/SM1987v057n02ABEH003072
Abstract: The author considers a natural class of difference equations whose coefficients have micro-inhomogeneities. A general compactness theorem is established, asserting that the solutions of these difference equations can converge only to solutions of differential equations as the lattice is refined. Difference equations with random micro-inhomogeneous coefficients are studied separately; their averaging properties are determined.
Bibliography: 12 titles.
Received: 30.09.1983 and 11.09.1985
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 129(171), Number 3, Pages 338–357
Bibliographic databases:
UDC: 517.962.22
MSC: Primary 65M10, 65M50; Secondary 62M05, 65M05
Language: English
Original paper language: Russian
Citation: S. M. Kozlov, “Averagind of difference schemes”, Mat. Sb. (N.S.), 129(171):3 (1986), 338–357; Math. USSR-Sb., 57:2 (1987), 351–369
Citation in format AMSBIB
\Bibitem{Koz86}
\by S.~M.~Kozlov
\paper Averagind of difference schemes
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 129(171)
\issue 3
\pages 338--357
\mathnet{http://mi.mathnet.ru/sm1831}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=837129}
\zmath{https://zbmath.org/?q=an:0639.65052}
\transl
\jour Math. USSR-Sb.
\yr 1987
\vol 57
\issue 2
\pages 351--369
\crossref{https://doi.org/10.1070/SM1987v057n02ABEH003072}
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:81
     
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