The paper is focused on justification of a statistical modelling algorithm for solution of the nonlinear kinetic Boltzmann equation on the base of a projection method. Hermite functions are used as an orthonormal basis. The error of approximation of a function by a partial sum of Hermite functions series is estimated in the L2 norm. The estimates are compared for two variants of the projection method in the case of solutions to the homogeneous gas relaxation problem with a known solution.
|Number of pages||8|
|Journal||Russian Journal of Numerical Analysis and Mathematical Modelling|
|Publication status||Published - 1 Jun 2019|
- Hermite polynomials
- Monte Carlo method
- nonlinear Boltzmann equation
- Projection method