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High order asymptotic-preserving schemes for the Boltzmann equation |
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| Authors: | Giacomo Dimarco Lorenzo Pareschi |
| Affiliation: | 1. Université de Toulouse, UPS, INSA, UT1, UTM, CNRS, UMR 5219, institut de mathématiques de Toulouse, 31062 Toulouse, France;2. Mathematics Department, University of Ferrara and CMCS, Ferrara, Italy |
| Abstract: | In this Note we discuss the construction of high order asymptotic preserving numerical schemes for the Boltzmann equation. The methods are based on the use of Implicit–Explicit (IMEX) Runge–Kutta methods combined with a penalization technique recently introduced in Filbet and Jin (2010) [6]. |
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