1201.6479 (Giacomo Dimarco et al.)

High order asymptotic-preserving schemes for the Boltzmann equation    [PDF]

Giacomo Dimarco, Lorenzo Pareschi

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 [F. Filbet, S. Jin: A class of asymptotic
preserving schemes for kinetic equations and related problems with stiff
sources,J. Comp. Phys. 229, (2010), pp. 7625-7648.].

View original: http://arxiv.org/abs/1201.6479