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Contemporary Mathematics. Fundamental Directions, 2018, Volume 64, Issue 4, Pages 591–602
DOI: https://doi.org/10.22363/2413-3639-2018-64-4-591-602 (Mi cmfd361) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A discrete analog of the Lyapunov function for hyperbolic systems

R. D. Aloev, M. U. Khudayberganov

National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan
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DOI: https://doi.org/10.22363/2413-3639-2018-64-4-591-602
Abstract: We study the difference splitting scheme for the numerical calculation of stable solutions of a two-dimensional linear hyperbolic system with dissipative boundary conditions in the case of constant coefficients with lower terms. A discrete analog of the Lyapunov function is constructed and an a priori estimate is obtained for it. The obtained a priori estimate allows us to assert the exponential stability of the numerical solution.
Document Type: Article
UDC: 519.633
Language: Russian
Citation: R. D. Aloev, M. U. Khudayberganov, “A discrete analog of the Lyapunov function for hyperbolic systems”, Contemporary problems in mathematics and physics, CMFD, 64, no. 4, Peoples' Friendship University of Russia, M., 2018, 591–602
Citation in format AMSBIB
\Bibitem{AloKhu18}
\by R.~D.~Aloev, M.~U.~Khudayberganov
\paper A discrete analog of the Lyapunov function for hyperbolic systems
\inbook Contemporary problems in mathematics and physics
\serial CMFD
\yr 2018
\vol 64
\issue 4
\pages 591--602
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd361}
\crossref{https://doi.org/10.22363/2413-3639-2018-64-4-591-602}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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