3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2005★ 3 cited
An Instability of the Godunov Scheme
Alberto Bressan, Helge Kristian Jenssen, Paolo Baiti
We construct a solution to a strictly hyperbolic system of conservation laws, showing that the Godunov scheme \cite{Godunov59} can produce an arbitrarily large amount o…
math.AP2005
BV instability for the Lax-Friedrichs scheme
Paolo Baiti, Alberto Bressan, Helge Kristian Jenssen
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 con…
math.AP2003★ 1 cited
Low Frequency Stability of Multi-dimensional Inviscid Planar Detonation Waves
Helge Kristian Jenssen, Gregory Lyng
This paper was withdrawn by the authors due an error in the elimination of the front in the linearized interior equations (28)-(29).