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

Authors:
A. Klar;A. Unterreiter
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2002

Citing 0
Cited 3

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Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit

SIAM Journal on Numerical Analysis

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Abstract

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 schemes developed in [S. Jin, L. Pareschi, and G. Toscani, SIAM J. Numer. Anal., 38 (2000), pp. 913--936] and [A. Klar, SIAM J. Numer. Anal., 35 (1998), pp. 1073--1094]. Stability is proven uniformly in the mean free path under a CFL-type condition turning into a parabolic CFL condition in the diffusion limit.