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Preprints of the Keldysh Institute of Applied Mathematics, 2024, 004, 39 pp.
DOI: https://doi.org/10.20948/prepr-2024-4 (Mi ipmp3214) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On stability and accuracy of finite-volume schemes on non-uniform meshes

P. A. Bakhvalov, M. D. Surnachev
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DOI: https://doi.org/10.20948/prepr-2024-4
URL: https://library.keldysh.ru/preprint.asp?id=2024-4&lg=r
Abstract: The paper studies the behavior of high-order finite-volume schemes for the 1D transport equation on non-uniform meshes. We consider finite-volume schemes with a polynomial reconstruction and schemes based on divided differences. We prove a sufficient stability condition on mildly deformed meshes and establish estimates for the solution error.
Keywords: finite volume method, consistency and accuracy, supra-convergence, long­time simulation accuracy.
Document Type: Preprint
Language: Russian
Citation: P. A. Bakhvalov, M. D. Surnachev, “On stability and accuracy of finite-volume schemes on non-uniform meshes”, Keldysh Institute preprints, 2024, 004, 39 pp.
Citation in format AMSBIB
\Bibitem{BakSur24}
\by P.~A.~Bakhvalov, M.~D.~Surnachev
\paper On stability and accuracy of finite-volume schemes on non-uniform meshes
\jour Keldysh Institute preprints
\yr 2024
\papernumber 004
\totalpages 39
\mathnet{http://mi.mathnet.ru/ipmp3214}
\crossref{https://doi.org/10.20948/prepr-2024-4}
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    • This publication is cited in the following 1 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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