Use of the Monte Carlo method in solution of gas kinetics problems

Analysis of numerical techniques of the direct simulation Monte Carlo method in the rarefied gas dynamics

“…The heuristic character of these schemes permits only a qualitative comparison using a Boltzmann collision frequency as a main criterion (see, for example, [5,19,20]). However, a relation between the trajectory simulation of the whole system of N particles in a 3N-dimensional space of velocities and the master kinetic equation [12] was already mentioned in [8].…”