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Monte Carlo Methods and Applications

Managing Editor: Sabelfeld, Karl K.

Editorial Board Member: 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


SCImago Journal Rank (SJR) 2015: 0.377
Source Normalized Impact per Paper (SNIP) 2015: 0.889
Impact per Publication (IPP) 2015: 0.650

Mathematical Citation Quotient (MCQ) 2015: 0.37

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1569-3961
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A Fast Stratified Sampling Simulation of Coagulation Processes

K. Sabelfeld1 / A. Levykin2 / T. Privalova3

11. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, D–10117 Berlin, and Institute of Computational Mathematics and Mathem. Geophysics, Russian Acad. Sci., Lavrentieva str., 6, 630090 Novosibirsk, Germany/Russia.

2Email:

32. Institute of Computational Mathematics and Mathem. Geophysics, Russian Acad. Sci., Lavrentieva str., 6, 630090 Novosibirsk, Russia.

4Email:

53. Institute of Computational Mathematics and Mathem. Geophysics, Russian Acad. Sci., Lavrentieva str., 6, 630090 Novosibirsk, Russia.

6Email:

Citation Information: Monte Carlo Methods and Applications mcma. Volume 13, Issue 1, Pages 71–88, ISSN (Online) 1569-3961, ISSN (Print) 0929-9629, DOI: https://doi.org/10.1515/MCMA.2007.004, May 2007

Publication History

Published Online:
2007-05-21

We develop a new version of the direct simulation Monte Carlo method for coagulation processes governed by homogeneous Smoluchowsky equations. The method is based on a subdivision of the set of particle pairs into classes, and on an efficient algorithm for sampling from a discrete distribution, the so-called Walker's alias method. The efficiency of the new method is drastically increased compared to the conventional methods, especially when the coagulation kernel is strongly varying. The method is applied to solving a problem of islands formation on a surface due to a diffusion controlled coagulation

Key Words: Smoluchowski coagulation equation,; stratified sampling,; 2D diffusion controlled coagulation.

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