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Matem. Mod., 2010, Volume 22, Number 7, Pages 121–128 (Mi mm3000)  

This article is cited in 2 scientific papers (total in 2 papers)

Method adaptive artificial viscosity

I. V. Popov, I. V. Fryazinov

Institute of Mathematical Modelling of RAS, Moscow

Abstract: The method of adaptive artificial viscosity (АИВ=AAV) is used for 1-D viscous Burgers equation, linear and nonlinear transport equation and boundary layer. Generalization of method AAV [1,2] to the problems containing second derivatives leads to implicit difference schemes.

Keywords: Burgers eguations, implicit difference schemes, adaptive artificial viscosity.

Full text: PDF file (201 kB)
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English version:
Mathematical Models and Computer Simulations, 2011, 3:1, 18–24

Bibliographic databases:

Received: 10.03.2009

Citation: I. V. Popov, I. V. Fryazinov, “Method adaptive artificial viscosity”, Matem. Mod., 22:7 (2010), 121–128; Math. Models Comput. Simul., 3:1 (2011), 18–24

Citation in format AMSBIB
\Bibitem{PopFry10}
\by I.~V.~Popov, I.~V.~Fryazinov
\paper Method adaptive artificial viscosity
\jour Matem. Mod.
\yr 2010
\vol 22
\issue 7
\pages 121--128
\mathnet{http://mi.mathnet.ru/mm3000}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2757862}
\transl
\jour Math. Models Comput. Simul.
\yr 2011
\vol 3
\issue 1
\pages 18--24
\crossref{https://doi.org/10.1134/S2070048211010108}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929080334}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. I. V. Popov, I. V. Fryazinov, “Method of adaptive artificial viscosity for the equations of gas dynamics on triangular and tetrahedral grids”, Math. Models Comput. Simul., 5:1 (2013), 50–62  mathnet  crossref  mathscinet  elib
    2. I. V. Popov, “Postroenie raznostnoi skhemy povyshennogo poryadka approksimatsii dlya nelineinogo uravneniya perenosa s ispolzovaniem adaptivnoi iskusstvennoi vyazkosti”, Preprinty IPM im. M. V. Keldysha, 2017, 068, 21 pp.  mathnet  crossref
  • Математическое моделирование
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