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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 5, Pages 796–815
DOI: https://doi.org/10.7868/S0044466916050124 (Mi zvmmf10388) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field

O. A. Kovyrkinaab, V. V. Ostapenkoab

a Novosibirsk State University, Universitetskii pr. 2, Novosibirsk, 630090, Russia
b Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 15, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.7868/S0044466916050124
Abstract: The monotonicity of the CABARET scheme approximating a hyperbolic differential equation with a sign-changing characteristic field is analyzed. Monotonicity conditions for this scheme are obtained in domains where the characteristics have a sign-definite propagation velocity and near sonic lines, on which the propagation velocity changes its sign. These properties of the CABARET scheme are illustrated by test computations.
Key words: CABARET difference scheme, hyperbolic equations, sign-changing characteristic field, monotonicity.
Received: 08.07.2015
Revised: 19.10.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 5, Pages 783–801
DOI: https://doi.org/10.1134/S0965542516050122
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016), 796–815; Comput. Math. Math. Phys., 56:5 (2016), 783–801
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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