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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 7, Pages 1142–1160
DOI: https://doi.org/10.7868/S0044466917070092 (Mi zvmmf10587) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Balance-characteristic scheme as applied to the shallow water equations over a rough bottom

V. M. Goloviznin, V. A. Isakov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466917070092
Abstract: The CABARET scheme is used for the numerical solution of the one-dimensional shallow water equations over a rough bottom. The scheme involves conservative and flux variables, whose values at a new time level are calculated by applying the characteristic properties of the shallow water equations. The scheme is verified using a series of test and model problems.
Key words: system of hyperbolic equations, shallow water equations over a rough bottom, numerical methods, balance-characteristic scheme, CABARET scheme.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00333_а
Received: 26.05.2016
Revised: 06.10.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 7, Pages 1140–1157
DOI: https://doi.org/10.1134/S0965542517070089
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. M. Goloviznin, V. A. Isakov, “Balance-characteristic scheme as applied to the shallow water equations over a rough bottom”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1142–1160; Comput. Math. Math. Phys., 57:7 (2017), 1140–1157
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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