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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 3, Pages 646–659 (Mi zvmmf4528)  
This article is cited in 2 scientific papers (total in 2 papers)

Difference solutions of a class of quasilinear parabolic equations. I

V. A. Galaktionov, A. A. Samarskii

Moscow
Full-text PDF (1396 kB) Citations (2)
Abstract: The properties of implicit difference schemes for quasilinear parabolic equations of non-linear heat conduction with a source are investigated. The sufficient conditions for the scheme to be solvable, for a difference solution to be non-unique and non-existent, and also for its unlimited increase over a finite time, are determined.
Received: 18.06.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 3, Pages 83–91
DOI: https://doi.org/10.1016/S0041-5553(83)80105-0
Bibliographic databases:
Document Type: Article
UDC: 519.633.6
MSC: Primary 65N12; Secondary 35K60
Language: Russian
Citation: V. A. Galaktionov, A. A. Samarskii, “Difference solutions of a class of quasilinear parabolic equations. I”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983), 646–659; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 83–91
Citation in format AMSBIB
\Bibitem{GalSam83}
\by V.~A.~Galaktionov, A.~A.~Samarskii
\paper Difference solutions of a class of quasilinear parabolic equations.~I
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 3
\pages 646--659
\mathnet{http://mi.mathnet.ru/zvmmf4528}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=706889}
\zmath{https://zbmath.org/?q=an:0526.65071}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 3
\pages 83--91
\crossref{https://doi.org/10.1016/S0041-5553(83)80105-0}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i3/p646
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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