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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 6, Pages 1355–1369 (Mi zvmmf4473)  
This article is cited in 8 scientific papers (total in 8 papers)

On difference schemes with artificial dispersion

S. I. Mukhin, S. B. Popov, Yu. P. Popov

Moscow
Full-text PDF (1476 kB) Citations (8)
Abstract: The interior dissipative and dispersion properties of difference schemes for non-linear hyperbolic equations are studied by analyzing the differential approximation. The examples of the quasilinear transport equation and the system of equations of isothermal gas dynamics are considered. A class of schemes with artificial dispersion is studied, whereby the distorting effect of interior dispersion and dissipation on the difference solution is weakened. The theoretical results are confirmed by direct computations.
Received: 25.10.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 6, Pages 45–53
DOI: https://doi.org/10.1016/S0041-5553(83)80074-3
Bibliographic databases:
Document Type: Article
UDC: 519.633
MSC: Primary 65N06; Secondary 35K60, 76G25
Language: Russian
Citation: S. I. Mukhin, S. B. Popov, Yu. P. Popov, “On difference schemes with artificial dispersion”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983), 1355–1369; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 45–53
Citation in format AMSBIB
\Bibitem{MukPopPop83}
\by S.~I.~Mukhin, S.~B.~Popov, Yu.~P.~Popov
\paper On difference schemes with artificial dispersion
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 6
\pages 1355--1369
\mathnet{http://mi.mathnet.ru/zvmmf4473}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=731240}
\zmath{https://zbmath.org/?q=an:0538.65054}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 6
\pages 45--53
\crossref{https://doi.org/10.1016/S0041-5553(83)80074-3}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i6/p1355
    • This publication is cited in the following 8 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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