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Matematicheskoe modelirovanie, 1994, Volume 6, Number 11, Pages 25–40 (Mi mm1926)  
This article is cited in 4 scientific papers (total in 4 papers)

Computational methods and algorithms

Uniform algorithm for computation of discontinuous solution on adaptive grids

V. I. Pokhilko, V. F. Tishkin

Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (1204 kB) Citations (4)
Abstract: The numerical method for computation of model transfer equation ∂u/∂t+∂u/∂x=0∂u/∂t+∂u/∂x=0 on solution-adaptive grids is presented. The adaptation of grid is based on method of equidistribution weight function. The corresponding choice of weight function and the use of high order monotonous scheme allows to receive second accuracy order both for discontinuous and for smooth solutions.
Received: 31.03.1994
Bibliographic databases:
Language: Russian
Citation: V. I. Pokhilko, V. F. Tishkin, “Uniform algorithm for computation of discontinuous solution on adaptive grids”, Mat. Model., 6:11 (1994), 25–40
Citation in format AMSBIB
\Bibitem{PokTis94}
\by V.~I.~Pokhilko, V.~F.~Tishkin
\paper Uniform algorithm for computation of discontinuous solution on adaptive grids
\jour Mat. Model.
\yr 1994
\vol 6
\issue 11
\pages 25--40
\mathnet{http://mi.mathnet.ru/mm1926}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1351193}
\zmath{https://zbmath.org/?q=an:0974.65513}
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  • https://www.mathnet.ru/eng/mm1926
  • https://www.mathnet.ru/eng/mm/v6/i11/p25
    • This publication is cited in the following 4 articles:
    1. P. E. Bulatov, “Chislennoe integrirovanie odnomernykh zadach parabolicheskogo tipa na adaptivnykh setkakh”, Preprinty IPM im. M. V. Keldysha, 2024, 011, 16 pp.  mathnet  crossref
    2. I. V. Popov, “Technique for determining the types of fault in calculations of gas flows”, Math. Models Comput. Simul., 15:4 (2023), 725–734  mathnet  crossref  crossref  mathscinet
    3. I. V. Popov, P. E. Bulatov, “Opredelenie tipov razryvov v vychislitelnoi gazovoi dinamike”, Preprinty IPM im. M. V. Keldysha, 2022, 089, 12 pp.  mathnet  crossref
    4. Khakimzyanov G.S., Shokina N.Yu., “Nekotorye zamechaniya o skhemakh, sokhranyayuschikh monotonnost chislennogo resheniya”, Vychislitelnye tekhnologii, 17:2 (2012), 78–98 Some notes on monotonicity preserving schemes  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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