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A method for calculating invariant subspaces of symmetric hyperbolic equations |
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| Authors: | S K Godunov V T Zhukov O B Feodoritova |
| Institution: | (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: | An algorithm is constructed for calculating invariant subspaces of symmetric hyperbolic systems arising in electromagnetic, acoustic, and elasticity problems. Discrete approximations are calculated for subspaces that correspond to minimal eigenvalues and smooth eigenfunctions. Difficulties related to the presence of an infinite-dimensional kernel in the differential operator are successfully handled. The efficiency of the algorithm is demonstrated using acoustics equations. |
| Keywords: | symmetric hyperbolic systems method for calculating invariant subspaces calculation of eigenvalues and eigenfunctions |
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