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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 6, Pages 980–987
(Mi zvmmf4595)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf4595 https://www.mathnet.ru/eng/zvmmf/v47/i6/p980
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