Babovsky, Hans On a Monte Carlo scheme for Smoluchowski’s coagulation equation. (English) Zbl 0937.76058 Monte Carlo Methods Appl. 5, No. 1, 1-18 (1999). 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. Cited in 1 ReviewCited in 25 Documents MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76T20 Suspensions 65C05 Monte Carlo methods Keywords:Smoluchowski equation; aerosol dynamics; time step size; modified Monte Carlo scheme; discrete Smoluchowski equation; convergence; two-particle interaction model; unbounded interaction operators PDFBibTeX XMLCite \textit{H. Babovsky}, Monte Carlo Methods Appl. 5, No. 1, 1--18 (1999; Zbl 0937.76058) Full Text: DOI Link