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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 5, Pages 815–820
DOI: https://doi.org/10.7868/S004446691405007X (Mi zvmmf10034) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations

M. D. Bragina, B. V. Rogovba

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
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DOI: https://doi.org/10.7868/S004446691405007X
Abstract: The possibility of constructing new third- and fourth-order accurate differential-difference bicompact schemes is explored. The schemes are constructed for the one-dimensional quasilinear advection equation on a symmetric three-point spatial stencil. It is proved that this family of schemes consists of a single fourth-order accurate bicompact scheme. The result is extended to the case of an asymmetric three-point stencil.
Key words: quasilinear hyperbolic equations, compact difference schemes, high-order accurate bicompact schemes.
Received: 10.12.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 5, Pages 831–836
DOI: https://doi.org/10.1134/S0965542514050066
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. D. Bragin, B. V. Rogov, “Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 815–820; Comput. Math. Math. Phys., 54:5 (2014), 831–836
Citation in format AMSBIB
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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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