WIAS Preprint No. 120, (1994)

A stochastic weighted particle method for the Boltzmann equation


  • Rjasanow, Sergej
  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 65R20 45K05 82C40


  • particle collisions, stochastic weighted particle method, algorithms, Boltzmann equation, Monte Carlo method




A class of algorithms for the numerical treatment of the Boltzmann equation is introduced. The basic idea is a more general procedure of modelling collisions between particles. This procedure is based on a random weight transfer from the particles with the pre-collision velocities to the particles with the post-collision velocities.

Appeared in

  • J. Comput. Phys., 124 (1996), pp. 243-253

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