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Mathematics of the USSR-Sbornik, 1983, Volume 45, Issue 4, Pages 431–437
DOI: https://doi.org/10.1070/SM1983v045n04ABEH001017 (Mi sm2227) 		 
On stability conditions for a family of nonselfadjoint difference schemes

A. V. Gulin, A. A. Martynov
English version PDF (388 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1983v045n04ABEH001017
Abstract: In the article, stability with respect to initial data of a family of explicit nonselfadjoint operator-difference schemes defined on the direct sum of two spaces is studied. Necessary and sufficient conditions for stability in the energy norms are obtained. The equivalence of the norms obtained to the mesh norm $L_2$ is proved.
Bibliography: 3 titles.
Received: 12.09.1981
Bibliographic databases:
UDC: 517.949.8
MSC: Primary 65J10; Secondary 65M10
Language: English
Original paper language: Russian
Citation: A. V. Gulin, A. A. Martynov, “On stability conditions for a family of nonselfadjoint difference schemes”, Math. USSR-Sb., 45:4 (1983), 431–437
Citation in format AMSBIB
\Bibitem{GulMar82}
\by A.~V.~Gulin, A.~A.~Martynov
\paper On stability conditions for a family of nonselfadjoint difference schemes
\jour Math. USSR-Sb.
\yr 1983
\vol 45
\issue 4
\pages 431--437
\mathnet{http://mi.mathnet.ru//eng/sm2227}
\crossref{https://doi.org/10.1070/SM1983v045n04ABEH001017}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=651137}
\zmath{https://zbmath.org/?q=an:0512.39002|0498.39002}
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