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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
\issue 3
\pages 445--459
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\jour Comput. Math. Math. Phys.
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Linking options:
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  • https://www.mathnet.ru/eng/zvmmf/v47/i3/p445
    • This publication is cited in the following 8 articles:
    1. V. N. Belykh, K. V. Brushlinskii, V. L. Vaskevich, S. P. Kiselev, A. N. Kraiko, A. G. Kulikovskii, V. I. Mali, V. V. Pukhnachov, E. I. Romensky, V. S. Ryaben'kii, “Sergei Konstantinovich Godunov has turned 85 years old”, Russian Math. Surveys, 70:3 (2015), 561–590  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    2. Peshkov I. Grmela M. Romenski E., “Irreversible Mechanics and Thermodynamics of Two-Phase Continua Experiencing Stress-Induced Solid-Fluid Transitions”, Continuum Mech. Thermodyn., 27:6 (2015), 905–940  crossref  mathscinet  zmath  isi  elib  scopus
    3. S. K. Godunov, “About inclusion of Maxwell’s equations in systems relativistic of the invariant equations”, Comput. Math. Math. Phys., 53:8 (2013), 1179–1182  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    4. LeMartelot S., Nkonga B., Saurel R., “Liquid and Liquid-Gas Flows at All Speeds”, J. Comput. Phys., 255 (2013), 53–82  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    5. A. N. Kudryavtsev, S. I. Trashkeev, “Formalism of two potentials for the numerical solution of Maxwell's equations”, Comput. Math. Math. Phys., 53:11 (2013), 1653–1663  mathnet  crossref  crossref  isi  elib  elib
    6. K. V. Brushlinskiǐ, V. G. Zhukov, M. K. Kerimov, “Academician SergeĭKonstantinovich Godunov (on the occasion of his eightieth birthday)”, Comput. Math. Math. Phys., 50:1 (2010), 1–6  mathnet  crossref  mathscinet  adsnasa  isi  elib
    7. Favrie N., Gavrilyuk S.L., Saurel R., “Solid-fluid diffuse interface model in cases of extreme deformations”, J. Comput. Phys., 228:16 (2009), 6037–6077  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    8. S. K. Godunov, Hyperbolic Problems: Theory, Numerics, Applications, 2008, 19  crossref
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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