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On a Monte Carlo scheme for Smoluchowski’s coagulation equation. (English) Zbl 0937.76058

We propose a modified Monte Carlo scheme for space homogeneous, discrete Smoluchowski equation, in which the simulated particles represent unit masses of the aerosol ensemble rather than physical particles. We shortly sketch a convergence proof, and discuss a typical two-particle interaction model. Then numerical results are compared showing a significant reduction of fluctuations for the new method. Finally, the problem of an appropriate choice of time steps for unbounded interaction operators is addressed.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76T20 Suspensions
65C05 Monte Carlo methods
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