On steady-state preserving spectral methods for homogeneous Boltzmann equations

Francis Filbet, Lorenzo Pareschi, Thomas Rey 
(08/08/2014 CRAS Volume 353, Issue 4, 2015, 309–314, ArXiv:1408.1863)

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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Video of my talk at the Fields Institute, Toronto Canada, October 2014