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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board: Binder, Kurt / Bouleau, Nicolas / Chorin, Alexandre J. / Dimov, Ivan / Dubus, Alain / Egorov, Alexander D. / Ermakov, Sergei M. / Halton, John H. / Heinrich, Stefan / Kalos, Malvin H. / Lepingle, D. / Makarov, Roman / Mascagni, Michael / Mathe, Peter / Niederreiter, Harald / Platen, Eckhard / Sawford, Brian R. / Schmid, Wolfgang Ch. / Schoenmakers, John / Simonov, Nikolai A. / Sobol, Ilya M. / Spanier, Jerry / Talay, Denis

4 Issues per year

CiteScore 2017: 0.67

SCImago Journal Rank (SJR) 2017: 0.417
Source Normalized Impact per Paper (SNIP) 2017: 0.860

Mathematical Citation Quotient (MCQ) 2017: 0.25

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Volume 9, Issue 1


Kac particle systems with free motion and equations of Boltzmann type

V. Nekrutkin

The paper is devoted to the stochastic solution of non-homogeneous Boltzmann-like equations up to ­ fixed time t with the help of the free-motion Kac particle systems. Sufficient conditions for the propagation of chaos are represented mainly in terms of distributions of point processes which govern jumps in Kac n-particle systems.

Key Words: equations of Boltzmann type,; Monte Carlo methods,; Kac n-particle systems

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Published Online:

Published in Print: 2003-01-01

Citation Information: Monte Carlo Methods and Applications mcma, Volume 9, Issue 1, Pages 13–25, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: https://doi.org/10.1515/156939603322587434.

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