A new perspective on kinetic schemes

  • Compared to standard numerical methods for hyperbolic systems of conservation laws, Kinetic Schemes model propagation of information by particles instead of waves. In this article, the wave and the particle concept are shown to be closely related. Moreover, a general approach to the construction of Kinetic Schemes for hyperbolic conservation laws is given which summarizes several approaches discussed by other authors. The approach also demonstrates why Kinetic Schemes are particularly well suited for scalar conservation laws and why extensions to general systems are less natural.

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Metadaten
Author:Michael Junk
URN (permanent link):urn:nbn:de:hbz:386-kluedo-7640
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (218)
Document Type:Preprint
Language of publication:English
Year of Completion:1999
Year of Publication:1999
Publishing Institute:Technische Universität Kaiserslautern
Tag:Kinetic Schems; hyperbolic systems of conservation laws
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

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