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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 4, Pages 697–719 (Mi zvmmf9688)  
This article is cited in 6 scientific papers (total in 6 papers)

On the accuracy of the projection computation of the collision integral

Yu. A. Anikin

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700 Russia
Full-text PDF (346 kB) Citations (6)
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Abstract: The accuracy of the projection method as applied to the computation of the collision integral is analyzed. It is shown that the method has an error of the second order of smallness with respect to the mesh size. An optimal method for choosing additional nodes that minimizes the computational error is found. The theoretical conclusions and the optimality of the method are confirmed in a series of numerical experiments.
Key words: rarefied gas, Boltzmann kinetic equation, projection method, collision integral computation.
Received: 26.09.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 4, Pages 615–636
DOI: https://doi.org/10.1134/S0965542512040021
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: Yu. A. Anikin, “On the accuracy of the projection computation of the collision integral”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012), 697–719; Comput. Math. Math. Phys., 52:4 (2012), 615–636
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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