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Matematicheskoe modelirovanie, 2020, Volume 32, Number 4, Pages 94–106
DOI: https://doi.org/10.20948/mm-2020-04-07 (Mi mm4174) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Balance&characteristic finite difference schemes for the equations of the parabolic type

V. Y. Glotova, V. M. Golovizninb, B. N. Chetverushkinc

a IBRAE RAS
b Lomonosov Moscow State University
c Keldysh Institute of Applied Mathematics RAS
Full-text PDF (690 kB) Citations (6)
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DOI: https://doi.org/10.20948/mm-2020-04-07
Abstract: A new numerical algorithm for solving parabolic equations by means of balance&characteristic difference schemes is proposed. The balance&characteristic schemes are combining the advantages of conservative and characteristic schemes. The main advantage of the new algorithm is that it is explicit and is implemented on the most compact computational template in one space-time computational cell. It scales perfectly and is extremely economical in software systems that implement the CABARET scheme because it uses the existing data structure there.
Keywords: parabolic type equations, balance&characteristic difference schemes, hyperbolization, CABARET scheme.
Funding agency Grant number
Russian Science Foundation 19-11-00104
Received: 09.09.2019
Revised: 09.09.2019
Accepted: 21.10.2019
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 6, Pages 981–989
DOI: https://doi.org/10.1134/S2070048220060095
Document Type: Article
Language: Russian
Citation: V. Y. Glotov, V. M. Goloviznin, B. N. Chetverushkin, “Balance&characteristic finite difference schemes for the equations of the parabolic type”, Matem. Mod., 32:4 (2020), 94–106; Math. Models Comput. Simul., 12:6 (2020), 981–989
Citation in format AMSBIB
\Bibitem{GloGolChe20}
\by V.~Y.~Glotov, V.~M.~Goloviznin, B.~N.~Chetverushkin
\paper Balance\&characteristic finite difference schemes for the equations of the parabolic type
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 4
\pages 94--106
\mathnet{http://mi.mathnet.ru/mm4174}
\crossref{https://doi.org/10.20948/mm-2020-04-07}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 6
\pages 981--989
\crossref{https://doi.org/10.1134/S2070048220060095}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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