Two variants of Monte Carlo projection method for numerical solution of nonlinear Boltzmann equation

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)143-150
Number of pages8
JournalRussian Journal of Numerical Analysis and Mathematical Modelling
Volume34
Issue number3
DOIs
Publication statusPublished - 1 Jun 2019

Keywords

  • Hermite polynomials
  • Monte Carlo method
  • nonlinear Boltzmann equation
  • Projection method

Fingerprint Dive into the research topics of 'Two variants of Monte Carlo projection method for numerical solution of nonlinear Boltzmann equation'. Together they form a unique fingerprint.

Cite this