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We present a recursive Monte Carlo method for the numerical solution of the Boltzmann equation. The method is based on the Wild sum expansion of the solution in the Maxwellian case. The recursive structure is used efficiently to obtain uniform accuracy in time, a very desirable property in many practical applications. Numerical examples of some space homogeneous computations are given.

A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case