✍ Scribed by T. Horsin; S. Mischler; A. Vasseur
No coin nor oath required. For personal study only.
We consider a time and spatial explicit discretisation scheme for the Boltzmannequation. We prove some Maxwellian bounds on the resulting approximated solution anddeduce its convergence using a new time-discrete averaging lemma. 2003 Éditions scientifiques et médicales Elsevier SAS MSC: 35A35; 65L20; 76PO5 RÉSUMÉ. -Nous considérons une discrétisation explicite en temps et espace de l'équation de Boltzmann. Nous exhibons des bornes au moyen de Maxwelliennes et en déduisons la convergence en utilisant un nouveau lemme de moyennisation discret en temps.
📜 SIMILAR VOLUMES
A new scheme for solving the Vlasov equation using a phase space grid is proposed. The algorithm is based on the conservation of the flux of particles, and the distribution function is reconstructed using various techniques that allow control of spurious oscillations or preservation of the positivit
The Ostrovsky equation describes gravity waves under the influence of Coriolis force. It is known that solutions of this equation conserve the L 2 norm and an energy function that is determined non-locally. In this paper we propose four conservative numerical schemes for this equation: a finite diff