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Section 21
About the Lax-Friedrichs scheme for the numerical approximation of hyperbolic conservation laws
Article first published online: 27 DEC 2004
DOI: 10.1002/pamm.200410299
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1617-7061/asset/cover.gif?v=1&s=79b6ccfe3470758033c99b476335ce58b5a38819 "PAMM")
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How to Cite
Breuß, M. (2004), About the Lax-Friedrichs scheme for the numerical approximation of hyperbolic conservation laws. Proc. Appl. Math. Mech., 4: 636–637. doi: 10.1002/pamm.200410299
Publication History
- Issue published online: 27 DEC 2004
- Article first published online: 27 DEC 2004
- Abstract
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Abstract
We discuss the numerical stability of the classical Lax-Friedrichs method. The scheme features well-established properties, especially it is TVD and monotone. However, it turns out that oscillations can occur at data extrema which seems to be in severe contrast to the large numerical diffusion the scheme exhibits. We briefly explain the phenomenon by use of a simple model problem and we give a short theoretical discussion. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)