Paolo Baiti, Alberto Bressan and Helge Kristian Jenssen
Instability of Travelling Wave Profiles for the Lax–Friedrichs scheme
We study travelling wave profiles for discrete approximations to hyperbolic
systems of conservation laws.
A detailed example is constructed,
showing that for the Lax–Friedrichs scheme the travelling profiles
do not depend continuously on the wave speed, in the BV norm.
Namely, taking a sequence of wave speeds
the corresponding profiles
converge to a limit Ψ uniformly on the real line, but
for all n.
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- Paolo Baiti,
- Alberto Bressan,
- Helge Kristian Jenssen,
- Publishing information:
- Submitted by:
July 22 2004.
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