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Exact simulation of nonlinear coagulation processes

  • Nicolas Fournier and Jean-Sébastien Giet
Published/Copyright: 2004
Monte Carlo Methods and Applications
From the journal Volume 10 Issue 2

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 (t(dx))t ≥0.

Published Online: --
Published in Print: 2004-06-01

Copyright 2004, Walter de Gruyter

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