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Weighted modification of direct statistical modeling with randomized branching for approximate solution of a kinetic equation

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Abstract

A modification of weighted statistical modeling is constructed for the approximate solution of a nonlinear kinetic equation. When the auxiliary weight is greater than unity, a randomized branching or corresponding increase in the trajectory of the model ensemble of particles is used. A comparative analysis of these versions of the algorithm is performed as applied to a specially formulated model problem concerning the relaxation of a mixture of two gases with widely different concentrations. The numerical results obtained for the initial point of trajectories in modified modeling suggest that the second version is preferable.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, pr. Akademika Lavrent’eva 6, 630090, Russia

    G. A. Mikhailov

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    S. V. Rogazinskii

Authors
  1. G. A. Mikhailov
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  2. S. V. Rogazinskii
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Corresponding author

Correspondence to G. A. Mikhailov.

Additional information

Original Russian Text © G.A. Mikhailov, S.V. Rogazinskii, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 2, pp. 145–149.

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Mikhailov, G.A., Rogazinskii, S.V. Weighted modification of direct statistical modeling with randomized branching for approximate solution of a kinetic equation. Dokl. Math. 92, 677–681 (2015). https://doi.org/10.1134/S1064562415060125

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  • DOI: https://doi.org/10.1134/S1064562415060125

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