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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 6, Pages 1019–1031 (Mi zvmmf456)  
This article is cited in 8 scientific papers (total in 9 papers)

A method for calculating invariant subspaces of symmetric hyperbolic equations

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 (1824 kB) Citations (9)
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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.
Key words: symmetric hyperbolic systems, method for calculating invariant subspaces, calculation of eigenvalues and eigenfunctions.
Received: 12.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 6, Pages 971–982
DOI: https://doi.org/10.1134/S0965542506060066
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: S. K. Godunov, V. T. Zhukov, O. B. Feodoritova, “A method for calculating invariant subspaces of symmetric hyperbolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1019–1031; Comput. Math. Math. Phys., 46:6 (2006), 971–982
Citation in format AMSBIB
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\by S.~K.~Godunov, V.~T.~Zhukov, O.~B.~Feodoritova
\paper A~method for calculating invariant subspaces of symmetric hyperbolic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 6
\pages 1019--1031
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2285362}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 6
\pages 971--982
\crossref{https://doi.org/10.1134/S0965542506060066}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746174148}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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