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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 6, Pages 1454–1463 (Mi zvmmf4480)  
This article is cited in 9 scientific papers (total in 9 papers)

A spectral method of solving Boltzmann's kinetic equation numerically

Yu. N. Grigor'ev, A. N. Mikhalitsyn

Novosibirsk
Full-text PDF (1171 kB) Citations (9)
Abstract: A spectral algorithm, conservative with respect to mass flow, is proposed for solving the homogeneous relaxation problem in the method of splitting into physical processes for Boltzmann's kinetic equation with Maxwell interaction potential. It is shown that, by realizing the algorithm by a numerical fast Fourier transformation procedure, the amount of calculation can be greatly reduced. The computational scope of the method is studies for the Cauchy problem for the non-linear kinetic equation with velocity space $R_1$.
Received: 07.12.1981
Revised: 18.09.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 6, Pages 105–111
DOI: https://doi.org/10.1016/S0041-5553(83)80083-4
Bibliographic databases:
Document Type: Article
UDC: 517.958:533.9
MSC: Primary 76P05; Secondary 76M99, 82B40
Language: Russian
Citation: Yu. N. Grigor'ev, A. N. Mikhalitsyn, “A spectral method of solving Boltzmann's kinetic equation numerically”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983), 1454–1463; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 105–111
Citation in format AMSBIB
\Bibitem{GriMik83}
\by Yu.~N.~Grigor'ev, A.~N.~Mikhalitsyn
\paper A spectral method of solving Boltzmann's kinetic equation numerically
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 6
\pages 1454--1463
\mathnet{http://mi.mathnet.ru/zvmmf4480}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=731248}
\zmath{https://zbmath.org/?q=an:0571.76077}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 6
\pages 105--111
\crossref{https://doi.org/10.1016/S0041-5553(83)80083-4}
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    • This publication is cited in the following 9 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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