STOCHASTIC PARTICLE METHODS AND APPROXIMATION OF THE BOLTZMANN EQUATION

摘要

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 freedom seems to be helpful for the reduction of the random fluctuations of the particle scheme. References: 17