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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 123, 38 pp.
DOI: https://doi.org/10.20948/prepr-2018-123 (Mi ipmp2482) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Unsteady corrector method for accuracy analysis of linear semidiscrete schemes

P. A. Bakhvalov
Full-text PDF (371 kB) Citations (2)
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DOI: https://doi.org/10.20948/prepr-2018-123
URL: http://https://library.keldysh.ru/preprint.asp?id=2018-123&lg=r
Abstract: Unsteady corrector method is used to find the order of accuracy when it is greater than the order of truncation error and investigate the long-time evolution of solution error. In this paper this method is applied to linear semidiscrete schemes, which allows to simplify its description. We alsopresent its generalization for schemes with matrices next to temporal derivatives. Using this method we obtain new accuracy estimates for 4-point difference scheme R3.
Keywords: geometric corrector, consistency and accuracy, non-uniform mesh, superconvergence.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60072_мол_а_дк
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: P. A. Bakhvalov, “Unsteady corrector method for accuracy analysis of linear semidiscrete schemes”, Keldysh Institute preprints, 2018, 123, 38 pp.
Citation in format AMSBIB
\Bibitem{Bak18}
\by P.~A.~Bakhvalov
\paper Unsteady corrector method for accuracy analysis of linear semidiscrete schemes
\jour Keldysh Institute preprints
\yr 2018
\papernumber 123
\totalpages 38
\mathnet{http://mi.mathnet.ru/ipmp2482}
\crossref{https://doi.org/10.20948/prepr-2018-123}
\elib{https://elibrary.ru/item.asp?id=35129827}
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    • 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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