BV instability for the Lax-Friedrichs scheme

Details BV instability for the Lax-Friedrichs scheme BV instability for the Lax-Friedrichs scheme

2005-02-02

arxiv.org/abs/math/0502043v1

Mathematics

Analysis of PDEs

24 pages, 3 figures

Scientific paper

It is proved that discrete shock profiles (DSPs) for the Lax-Friedrichs scheme for a system of conservation laws do not necessarily depend continuously in BV on their speed. We construct examples of $2 \times 2$-systems for which there are sequences of DSPs with speeds converging to a rational number. Due to a resonance phenomenon, the difference between the limiting DSP and any DSP in the sequence will contain an order-one amount of variation.

Affiliated with

Also associated with

No associations

Rating

BV instability for the Lax-Friedrichs scheme does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with BV instability for the Lax-Friedrichs scheme, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and BV instability for the Lax-Friedrichs scheme will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-61214