3 citations · 3 across the 2 of their papers we have counts for
2 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…