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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| Author: | Michael Junk |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-7640 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (218) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1999 |
| Year of first Publication: | 1999 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 1999/11/03 |
| Tag: | Kinetic Schems; hyperbolic systems of conservation laws |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |