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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 070, 28 pp.
DOI: https://doi.org/10.20948/prepr-2019-70 (Mi ipmp2708) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On spectral analysis of numerical schemes for the linear transport equation

P. A. Bakhvalov, M. D. Surnachev
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DOI: https://doi.org/10.20948/prepr-2019-70
Abstract: We consider linear semidiscrete schemes on uniformmeshes with several degrees of freedom for the transport equation with constant velocity. Accuracy analysis of these schemes is usually reduced to analysis on single modes. However we failed to find a rigorous justification of this procedure. For a smooth solution we prove an error estimate based on the solution error for single modes.
Keywords: difference scheme, spectral analysis, transport equation.
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: P. A. Bakhvalov, M. D. Surnachev, “On spectral analysis of numerical schemes for the linear transport equation”, Keldysh Institute preprints, 2019, 070, 28 pp.
Citation in format AMSBIB
\Bibitem{BakSur19}
\by P.~A.~Bakhvalov, M.~D.~Surnachev
\paper On spectral analysis of numerical schemes for the linear transport equation
\jour Keldysh Institute preprints
\yr 2019
\papernumber 070
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp2708}
\crossref{https://doi.org/10.20948/prepr-2019-70}
\elib{https://elibrary.ru/item.asp?id=38505247}
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  • https://www.mathnet.ru/eng/ipmp/y2019/p70
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Full-text PDF :30
    References:19
     
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