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Zh. Vychisl. Mat. Mat. Fiz., 2007, Volume 47, Number 3, Pages 445–459 (Mi zvmmf317)  

This article is cited in 5 scientific papers (total in 7 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

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.

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English version:
Computational Mathematics and Mathematical Physics, 2007, 47:3, 427–441

Bibliographic databases:

UDC: 519.63
Received: 17.10.2006

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
\by D.~P.~Babii, S.~K.~Godunov, V.~T.~Zhukov, O.~B.~Feodoritova
\paper On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 3
\pages 445--459
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 3
\pages 427--441

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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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