English

On steady-state preserving spectral methods for homogeneous Boltzmann equations

Numerical Analysis 2014-08-11 v1

Abstract

In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation which preserves exactly the Maxwellian steady-state of the system. We show that the resulting method is able to approximate with spectral accuracy the solution uniformly in time.

Keywords

Cite

@article{arxiv.1408.1863,
  title  = {On steady-state preserving spectral methods for homogeneous Boltzmann equations},
  author = {Francis Filbet and Lorenzo Pareschi and Thomas Rey},
  journal= {arXiv preprint arXiv:1408.1863},
  year   = {2014}
}

Comments

7 pages, 3 figures

R2 v1 2026-06-22T05:23:16.921Z