356 citations · 4.2k across the 89 of their papers we have counts for
Showing 2012 · math.NAShow all
2 papers · 2 filters
math.NA2012★ 196 cited
ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement
Michael Dumbser, Olindo Zanotti, Arturo Hidalgo +1
We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained th…
math.NA2012★ 38 cited
On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws
Michael Dumbser, Ariunaa Uuriintsetseg, Olindo Zanotti
In this article we present a new family of high order accurate Arbitrary Lagrangian-Eulerian one-step WENO finite volume schemes for the solution of stiff hyperbolic balance laws.…