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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 10, Pages 1860–1870 (Mi zvmmf586)  
This article is cited in 10 scientific papers (total in 10 papers)

Global weighted Monte Carlo method for the nonlinear Boltzmann equation

M. S. Ivanova, M. A. Korotchenkob, G. A. Mikhailovc, S. V. Rogazinskiic

a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
c Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: New weighted modifications of direct statistical simulation methods as applied to the nonlinear Boltzmann equation are developed on the basis of an original strategy–stratification of the collision distribution in a multiparticle system according to the index of a pair of interacting particles. The weighted algorithms are validated on a model problem with a known solution. It is shown that they effectively estimate variations in the functionals with varying parameters, in particular, with the number of particles in the simulating ensemble.
Received: 15.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. S. Ivanov, M. A. Korotchenko, G. A. Mikhailov, S. V. Rogazinskii, “Global weighted Monte Carlo method for the nonlinear Boltzmann equation”, Zh. Vychisl. Mat. Mat. Fiz., 45:10 (2005), 1860–1870; Comput. Math. Math. Phys., 45:10 (2005), 1792–1801
Citation in format AMSBIB
\Bibitem{IvaKorMik05}
\by M.~S.~Ivanov, M.~A.~Korotchenko, G.~A.~Mikhailov, S.~V.~Rogazinskii
\paper Global weighted Monte Carlo method for the nonlinear Boltzmann equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 10
\pages 1860--1870
\mathnet{http://mi.mathnet.ru/zvmmf586}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2189393}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 10
\pages 1792--1801
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :220
    References:52
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