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.
Author: | Axel Klar, Andreas Unterreiter |
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URN: | urn:nbn:de:hbz:386-kluedo-10509 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (231) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 2000 |
Year of first Publication: | 2000 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/08/16 |
Tag: | CFL type conditions; asymptotic preserving numerical scheme; linear transport equation; stability uniformly in the mean free path |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
MSC-Classification (mathematics): | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Fxx General first-order equations and systems / 35F10 Initial value problems for linear first-order equations |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |