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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 848–859 (Mi zvmmf4512)  
This article is cited in 18 scientific papers (total in 19 papers)

A second-order monotone difference scheme for hyperbolic systems with two independent variables

V. I. Kopchenov, A. N. Kraiko

Moscow
Full-text PDF (1613 kB) Citations (19)
Abstract: Considering the example of the equations of one-dimensional non-stationary gas dynamics, a modification of Godunov's well-know scheme is proposed for hyperbolic systems with two independent variables; the modification, while preserving the monotonicity, raises to second order the approximation of the differential operator and reduces smearing of contact discontinuities and low-intensity jumps.
Received: 14.07.1981
Revised: 29.10.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 50–56
DOI: https://doi.org/10.1016/S0041-5553(83)80128-1
Bibliographic databases:
Document Type: Article
UDC: 519.633.8
MSC: Primary 65M25; Secondary 35L45, 76N15
Language: Russian
Citation: V. I. Kopchenov, A. N. Kraiko, “A second-order monotone difference scheme for hyperbolic systems with two independent variables”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 848–859; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 50–56
Citation in format AMSBIB
\Bibitem{KopKra83}
\by V.~I.~Kopchenov, A.~N.~Kraiko
\paper A second-order monotone difference scheme for hyperbolic systems with two independent variables
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 848--859
\mathnet{http://mi.mathnet.ru/zvmmf4512}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717014}
\zmath{https://zbmath.org/?q=an:0538.65052}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 50--56
\crossref{https://doi.org/10.1016/S0041-5553(83)80128-1}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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