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Matematicheskie Zametki, 1968, Volume 4, Issue 5, Pages 493–502 (Mi mzm6767)  
This article is cited in 1 scientific paper (total in 2 paper)

The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations

Yu. I. Shokinab, N. N. Yanenkoab

a Novosibirsk State University
b Computer Centre of USSR Academy of Sciences, Siberian Branch
Full-text PDF (636 kB) Citations (2)
Abstract: The concept of the first differential approximation of a difference scheme is introduced and the conditions relating the stability of difference schemes and the correctness of their first differential approximations are established.
Received: 15.04.1968
English version:
Mathematical Notes, 1968, Volume 4, Issue 5, Pages 787–792
DOI: https://doi.org/10.1007/BF01111310
Bibliographic databases:
UDC: 518
Language: Russian
Citation: Yu. I. Shokin, N. N. Yanenko, “The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations”, Mat. Zametki, 4:5 (1968), 493–502; Math. Notes, 4:5 (1968), 787–792
Citation in format AMSBIB
\Bibitem{ShoYan68}
\by Yu.~I.~Shokin, N.~N.~Yanenko
\paper The relation between the correctness of the first differential approximations and the stability of difference schemes for hyperbolic systems of equations
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 5
\pages 493--502
\mathnet{http://mi.mathnet.ru/mzm6767}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=239780}
\zmath{https://zbmath.org/?q=an:0176.09103|0164.11501}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 5
\pages 787--792
\crossref{https://doi.org/10.1007/BF01111310}
Linking options:
  • https://www.mathnet.ru/eng/mzm6767
  • https://www.mathnet.ru/eng/mzm/v4/i5/p493
    • This publication is cited in the following 2 articles:
    1. Alexander Bihlo, Xavier Coiteux-Roy, Pavel Winternitz, “The Korteweg–de Vries equation and its symmetry-preserving discretization”, J. Phys. A: Math. Theor., 48:5 (2015), 055201  crossref
    2. M. K. Kerimov, “K devyanostoletiyu so dnya rozhdeniya akademika Nikolaya Nikolaevicha Yanenko”, Zh. vychisl. matem. i matem. fiz., 53:2 (2013), 171–180  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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