Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes

• An asymptotic preserving numerical scheme (with respect to diffusion scalings) for a linear transport equation is investigated. The scheme is adopted from a class of recently developped schemes. Stability is proven uniformly in the mean free path under a CFL type condition turning into a parabolic CFL condition in the diffusion limit.

$Rev: 13581$