159 citations · 577 across the 10 of their papers we have counts for
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math.NA2020★ 26 cited
Well-balanced finite volume schemes for nearly steady adiabatic flows
Luc Grosheintz-Laval, Roger Käppeli
We present well-balanced finite volume schemes designed to approximate the Euler equations with gravitation. They are based on a novel local steady state reconstruction. The scheme…
math.NA2018
High-order well-balanced finite volume schemes for the Euler equations with gravitation
Luc Grosheintz, Roger Käppeli
A high-order well-balanced scheme for the Euler equations with gravitation is presented. The scheme is able to preserve a spatially high-order accurate discrete representation of a…
math.NA2014★ 116 cited
Construction of approximate entropy measure valued solutions for hyperbolic systems of conservation laws
Ulrik S. Fjordholm, Roger Käppeli, Siddhartha Mishra +1
Entropy solutions have been widely accepted as the suitable solution framework for systems of conservation laws in several space dimensions. However, recent results in \cite{CDL1,C…