Effective algorithms for the solution of the Boltzmann equation for the manycomponent reacting gas mixture

A new mathematically rigorous approach for the particle simulation of the Boltzmann equation for the reacting gas mixture is considered. This approach relies on an approximation of the Boltzmann equation by system of stochastic differential equations whis respect to Poisson measure. With the help of the certain choice of approximation it is possible to achieve any small variancy of density when the number of particle and time intervals are fixed.