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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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Author:Axel Klar, Andreas Unterreiter
URN (permanent link):urn:nbn:de:hbz:386-kluedo-10509
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (231)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute: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: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