Stochastic particle methods for the numerical treatment of the Boltzmann equation for dilute monatomic gases are considered. One particular stochastic model of particles with weights is introduced. Recent convergence results for this model are discussed. The introduction of certain degrees of...

In this paper, we review recent results concerning stochastic models for coagulation processes and their relationship to deterministic equations. Open problems related to the gelation effect are discussed. Finally, we present some new conjectures based on numerical experiments performed with...

The DSMC (direct simulation Monte Carlo) method for rarefied gas dynamics is studied. The behaviour of the underlying stochastic particle system is determined by three main components – the time step between subsequent collisions, the random mechanism for the choice of the collision partners,...