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Preprints of the Keldysh Institute of Applied Mathematics, 2017, 068, 21 pp.
DOI: https://doi.org/10.20948/prepr-2017-68 (Mi ipmp2284) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation

I. V. Popov
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DOI: https://doi.org/10.20948/prepr-2017-68
Abstract: The paper describes the adaptive artificial viscosity (AAV) method applied for simulation of one-dimensional non-linear advection process. A finite difference scheme with high order approximation on time and on space was constructed. The analysis of this scheme on monotone, stability and convergence was provided. The comparison of solution of proposed scheme with exact solution was fulfilled.
Keywords: nonlinear advection equation, adaptive artificial viscosity, finite difference scheme.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04620-а
16-07-00519-а
16-29-15095-офи-м
Document Type: Preprint
Language: Russian
Citation: I. V. Popov, “Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation”, Keldysh Institute preprints, 2017, 068, 21 pp.
Citation in format AMSBIB
\Bibitem{Pop17}
\by I.~V.~Popov
\paper Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation
\jour Keldysh Institute preprints
\yr 2017
\papernumber 068
\totalpages 21
\mathnet{http://mi.mathnet.ru/ipmp2284}
\crossref{https://doi.org/10.20948/prepr-2017-68}
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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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