Simulation methods for Boltzmann-type equations

We report on the numerical approximation of the solution of a general class of nonlinear Boltzmann like equations. We provide a discretized version of the equations approximating the above class of equations. The numerical implementation of this scheme it is not possible due to the power-like growth of the computational numerical effort. For this reason we introduce stochastic techniques to diminish the numerical effort. Finally, one obtains a probabilistic convergent scheme solving the initial equations.