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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 6, Pages 1121–1132 (Mi zvmmf9467)  
This article is cited in 5 scientific papers (total in 5 papers)

Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators

P. N. Vabishchevich

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
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Abstract: Using a model periodic problem for the one-dimensional transport equation as an example, the construction of finite difference time approximations is considered. The emphasis is on the quality criteria of finite difference schemes in what concerns the inheritance of the basic properties of the differential problem, which are related to the transfer of spectral characteristics. Schemes of higher order accuracy based on Padé are analyzed.
Key words: Cauchy problem, transport equation, operator-difference schemes, stability.
Received: 01.02.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 6, Pages 1050–1060
DOI: https://doi.org/10.1134/S0965542511060170
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: P. N. Vabishchevich, “Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators”, Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011), 1121–1132; Comput. Math. Math. Phys., 51:6 (2011), 1050–1060
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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