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Importance modeling algorithms for solving nonlinear kinetic equations. (English. Russian original) Zbl 1154.82025

Dokl. Math. 76, No. 1, 502-505 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 415, No. 1, 26-30 (2007).
From the text: We consider importance weighted modifications of statistical simulation for the numerical solution of the nonlinear Smoluchowski and Boltzmann kinetic equations in the spatially homogeneous case.

MSC:

82C40 Kinetic theory of gases in time-dependent statistical mechanics
82C22 Interacting particle systems in time-dependent statistical mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82D60 Statistical mechanics of polymers
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
60J25 Continuous-time Markov processes on general state spaces
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References:

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