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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2000, Volume 3, Number 2, Pages 109–121 (Mi sjvm357)  
This article is cited in 2 scientific papers (total in 2 papers)

The second order approximation TVD scheme on moving adaptive grids for hyperbolic systems

V. B. Barakhnina, N. V. Borodkinb

a Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
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Abstract: The second order approximation finite difference scheme for moving adaptive grids which is the generalization of the well-known Harten scheme is presented. The conditions sufficient to ensure that the scheme is the TVD are obtained. The numerical tests of the scheme for the system of equation of shallow water when solutions contain shocks and rarefaction waves are conducted.
Received: 06.06.1999
Revised: 18.11.1999
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. B. Barakhnin, N. V. Borodkin, “The second order approximation TVD scheme on moving adaptive grids for hyperbolic systems”, Sib. Zh. Vychisl. Mat., 3:2 (2000), 109–121
Citation in format AMSBIB
\Bibitem{BarBor00}
\by V.~B.~Barakhnin, N.~V.~Borodkin
\paper The second order approximation TVD scheme on moving adaptive grids for hyperbolic systems
\jour Sib. Zh. Vychisl. Mat.
\yr 2000
\vol 3
\issue 2
\pages 109--121
\mathnet{http://mi.mathnet.ru/sjvm357}
\zmath{https://zbmath.org/?q=an:0955.76063}
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    • This publication is cited in the following 2 articles:
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