Numerical study of a stochastic weighted particle method for a model kinetic equation
- Rjasanow, Sergej
- Wagner, Wolfgang
2010 Mathematics Subject Classification
- 65C05 76P05 82C80
- nonlinear integral equations, nonlinear kinetic equations, stochastic weighted particle method, Boltzmann equation
A stochastic weighted particle method is applied to a model nonlinear kinetic equation. A detailed study of various numerical approximations is presented. The main effect achieved by the new method is an artificial increase of the relative number of simulation particles with prescribed velocities.
- J. Comput. Phys., 128 (1996), pp. 351-362