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On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics |
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| Authors: | D. P. Babii S. K. Godunov V. T. Zhukov O. B. Feodoritova |
| Affiliation: | (1) Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia;(2) 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. |
| Keywords: | overdetermined hyperbolic equations difference approximations hydrodynamics equations acoustics equations Maxwell equations |
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