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Zbl 1038.82082
Horsin, T.; Mischler, S.; Vasseur, A.
(Horsin-Molinaro, Thierry)
On the convergence of numerical schemes for the Boltzmann equation. (English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 5, 731-758 (2003). ISSN 0294-1449

The aim of the paper is to consider explicit discretization schemes in time and space for the Boltzman equations. Thereby, Maxwellian bounds on the resulting approximated solution are proven and the convergence is derived by means of a new time-discrete averaging lemma.
[Andreas Meister (Kassel)]

MSC 2000:: *82C80 Numerical methods of time-dependent statistical mechanics
76P05 Molecular or atomic structure
65M12 Stability and convergence of numerical methods (IVP of PDE)
82C40 Kinetic theory of gases
35A35 Theoretical approximation to solutions of PDE

Keywords: explicit discretization schemes; Maxwellian bounds; time-discrete averaging lemma

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