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.

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Verfasserangaben: Axel Klar, Andreas Unterreiter urn:nbn:de:hbz:386-kluedo-10509 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (231) Preprint Englisch 2000 2000 Technische Universität Kaiserslautern 16.08.2000 CFL type conditions; asymptotic preserving numerical scheme ; linear transport equation ; stability uniformly in the mean free path Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Fxx General first-order equations and systems / 35F10 Initial value problems for linear first-order equations Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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