Abstract
AbstractWe 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)
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