RELAXATION SCHEMES FOR NONLINEAR KINETIC EQUATIONS

摘要

A class of numerical schemes for nonlinear kinetic equations oi Boltzmann type is described. Following Wild's approach, the solution is represented as a power series with parameter depending exponentially on the Knudsen number. This permits us to derive accurate and stable time discretizations for all ranges of the mean free path. These schemes preserve the main physical properties: positivity, conservation of mass, momentum, and energy Moreover, for some particular models, the entropy property is also shown to hold. [References: 32]