## An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit

• An asymptotic-induced scheme for nonstationary transport equations with thediffusion scaling is developed. The scheme works uniformly for all ranges ofmean free paths. It is based on the asymptotic analysis of the diffusion limit ofthe transport equation. A theoretical investigation of the behaviour of thescheme in the diffusion limit is given and an approximation property is proven.Moreover, numerical results for different physical situations are shown and atheuniform convergence of the scheme is established numerically.

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Author: Axel Klar urn:nbn:de:hbz:386-kluedo-5792 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (175) Preprint English 1997 1997 Technische Universität Kaiserslautern 2000/06/24 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$