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Matematicheskoe modelirovanie, 2012, Volume 24, Number 11, Pages 33–52 (Mi mm3238)  
This article is cited in 63 scientific papers (total in 65 papers)

Resolution limits of continuous media models and their mathematical formulations

Boris N. Chetverushkin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Full-text PDF (578 kB) Citations (65)
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Abstract: In this work we present new mathematical formulations for a number of continuous media models. the developed formulations account for physical constraints on resolution level of media description. Compared to classical formulations the presented ones introduce additional terms which allow for construction of numerical schemes well suited for their efficient implementation for high-performance computer systems.
Keywords: high-performance computing, resolution limits, kinetic scheme.
Received: 06.04.2012
English version:
Mathematical Models and Computer Simulations, 2013, Volume 5, Issue 3, Pages 266–279
DOI: https://doi.org/10.1134/S2070048213030034
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Boris N. Chetverushkin, “Resolution limits of continuous media models and their mathematical formulations”, Matem. Mod., 24:11 (2012), 33–52; Math. Models Comput. Simul., 5:3 (2013), 266–279
Citation in format AMSBIB
\Bibitem{Che12}
\by Boris~N.~Chetverushkin
\paper Resolution limits of continuous media models and their mathematical formulations
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 11
\pages 33--52
\mathnet{http://mi.mathnet.ru/mm3238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112653}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 3
\pages 266--279
\crossref{https://doi.org/10.1134/S2070048213030034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84890409510}
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    • This publication is cited in the following 65 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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