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Matematicheskoe modelirovanie, 2013, Volume 25, Number 11, Pages 17–32 (Mi mm3415)  
This article is cited in 5 scientific papers (total in 5 papers)

Towards a stochastic diffusion gas model verification

S. V. Bogomolov, I. G. Gudich

Lomonosov Moscow State University
Full-text PDF (394 kB) Citations (5)
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Abstract: The advantages of the model under consideration are the clear mathematical justification, logical simplicity and flexibility. A stochastic algorithm for CUDA architecture aiming at numerical solution of a 3D problem in a phase space for this model is realized. The validity of conservation laws for the stochastic gas model is shown. The linear and nonlinear problems are compared numerically.
Keywords: Boltzmann equation, Kolmogorov–Fokker–Planck equation, Navier–Stokes equation; random processes, stochastic differential equations with respect to Poisson and Wiener measures, its numerical solution.
Received: 18.06.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 3, Pages 305–316
DOI: https://doi.org/10.1134/S2070048214030041
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Bogomolov, I. G. Gudich, “Towards a stochastic diffusion gas model verification”, Matem. Mod., 25:11 (2013), 17–32; Math. Models Comput. Simul., 6:3 (2014), 305–316
Citation in format AMSBIB
\Bibitem{BogGud13}
\by S.~V.~Bogomolov, I.~G.~Gudich
\paper Towards a stochastic diffusion gas model verification
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 11
\pages 17--32
\mathnet{http://mi.mathnet.ru/mm3415}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3220572}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 3
\pages 305--316
\crossref{https://doi.org/10.1134/S2070048214030041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925946212}
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    • This publication is cited in the following 5 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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