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Journal Articles Comptes Rendus. Mathématique Year : 2015

On steady-state preserving spectral methods for homogeneous Boltzmann equations

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.
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Dates and versions

hal-01053930 , version 1 (04-08-2014)

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Francis Filbet, Lorenzo Pareschi, Thomas Rey. On steady-state preserving spectral methods for homogeneous Boltzmann equations. Comptes Rendus. Mathématique, 2015, 353 (4), pp.309-314. ⟨10.1016/j.crma.2015.01.015⟩. ⟨hal-01053930⟩
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