WIAS Preprint No. 320, (1997)

Reduction of the number of particles in the stochastic weighted particle method for the Boltzman equation



Authors

  • Rjasanow, Sergej
  • Schreiber, Thomas
  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 65C05 76P05 82C80

Keywords

  • Boltzmann equation, stochastic particle method, random weight transfer, collision mechanism, numerical experiments

Abstract

Different ideas for reducing the number of particles in the stochastic weighted particle method for the Boltzmann equation are described and discussed. The corresponding error bounds are obtained and numerical tests for the spatially homogeneous Boltzmann equation presented. It is shown that if an appropriate reduction procedure is used then any effect on the accuracy of the numerical scheme is negligible.

Appeared in

  • J. Comput. Phys., 145 (1998), No. 1, pp. 382-405

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