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Exact simulation of nonlinear coagulation processes

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  • Fournier Nicolas
  • Giet Jean-Sébastien

Abstract

The Smoluchowski equation is a nonlinear integro-differential equation describing the evolution of the concentration μt(dx) of particles of mass in (x, x+dx) in an infinite particle system where coalescence occurs. We introduce a class of algorithms, which allow, under some conditions, to simulate exactly a stochastic process (Xt)t ≥0, whose time marginals are given by (xμt(dx))t ≥0.

Suggested Citation

  • Fournier Nicolas & Giet Jean-Sébastien, 2004. "Exact simulation of nonlinear coagulation processes," Monte Carlo Methods and Applications, De Gruyter, vol. 10(2), pages 95-106, June.
    • Handle: RePEc:bpj:mcmeap:v:10:y:2004:i:2:p:95-106:n:5
    DOI: 10.1515/156939604777303253
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    References listed on IDEAS

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    1. Chauvin, Brigitte, 1995. "Branching processes, trees and the Boltzmann equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 38(1), pages 135-141.
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