Выпуск: 3 , Том: 1 , Год издания: 1995

The Monte Carlo methods for solving a nonlinear Boltzmann equation are proposed. The main goal is the development and justification of the generalized null-collision technique for methods with continuous time. It is claimed that the cost of the new algorithms is lower compared to the conventional Monte Carlo methods; the upper bounds for the number of interacting particles are evaluated. Asymptotics for the cost of the algorithms presented are deduced and compared with the Direct Simulation Methods. Numerical results are given.