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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 3, Pages 445–459 (Mi zvmmf317)  
This article is cited in 6 scientific papers (total in 8 papers)

On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics

D. P. Babiia, S. K. Godunova, V. T. Zhukovb, O. B. Feodoritovab

a Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (1778 kB) Citations (8)
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Abstract: Issues concerning difference approximations of overdetermined systems of hyperbolic equations are examined. The formulations of extended overdetermined systems are given for hydrodynamics equations, magnetohydrodynamics equations, Maxwell equations, and elasticity equations. Some approaches to the construction of difference schemes are discussed for these systems.
Key words: overdetermined hyperbolic equations, difference approximations, hydrodynamics equations, acoustics equations, Maxwell equations.
Received: 17.10.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 3, Pages 427–441
DOI: https://doi.org/10.1134/S0965542507030086
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: D. P. Babii, S. K. Godunov, V. T. Zhukov, O. B. Feodoritova, “On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 445–459; Comput. Math. Math. Phys., 47:3 (2007), 427–441
Citation in format AMSBIB
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\paper On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 47
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\pages 445--459
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\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 3
\pages 427--441
\crossref{https://doi.org/10.1134/S0965542507030086}
\elib{https://elibrary.ru/item.asp?id=13548611}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247148172}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i3/p445
    • 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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    Full-text PDF :253
    References:86
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