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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 6, Pages 980–987 (Mi zvmmf4595)  
This article is cited in 5 scientific papers (total in 5 papers)

Finite-difference schemes for solving multidimensional hyperbolic equations and their systems

O. P. Komurdzhishvili

Institute of Applied Mathematics, Tbilisi State University, Universitetskaya 2, Tbilisi, 0186, Georgia
Full-text PDF (662 kB) Citations (5)
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Abstract: A numerical algorithm for integrating second-order multidimensional hyperbolic equations and hyperbolic systems is described. Conditionally and unconditionally stable finite-difference schemes are constructed. The analysis of the schemes is based on the general regularization principle proposed by A. A. Samarskii.
Key words: multidimensional hyperbolic equations and their systems, regularization, finite-difference schemes, stability of a scheme.
Received: 07.06.2005
Revised: 24.07.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 6, Pages 936–942
DOI: https://doi.org/10.1134/S096554250706005X
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: O. P. Komurdzhishvili, “Finite-difference schemes for solving multidimensional hyperbolic equations and their systems”, Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007), 980–987; Comput. Math. Math. Phys., 47:6 (2007), 936–942
Citation in format AMSBIB
\Bibitem{Kom07}
\by O.~P.~Komurdzhishvili
\paper Finite-difference schemes for solving multidimensional hyperbolic equations and their systems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 6
\pages 980--987
\mathnet{http://mi.mathnet.ru/zvmmf4595}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 6
\pages 936--942
\crossref{https://doi.org/10.1134/S096554250706005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547319552}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :180
    References:64
    First page:2
     
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