L. Desvillettes et Rep. Herrera, A VECTORIZABLE SIMULATION METHOD FOR THE BOLTZMANN-EQUATION, Modelisation mathematique et analyse numerique, 28(6), 1994, pp. 745-760
This paper deals with a conservative Monte Carlo method for the Boltzm
ann equation, which allows to take into account long time steps as wel
l as small ones. Numerical results for the Boltzmann equation and for
the Kac model are compared with those of the classical Direct Simulati
on Monte Carlo (DSMC) method.