36 citations · 68 across the 16 of their papers we have counts for
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math.NA2021
A Consistent Quasi-Second Order Staggered Scheme for the Two-Dimensional Shallow Water Equations
R Herbin, J. -C Latché, Y Nasseri +1
A quasi-second order scheme is developed to obtain approximate solutions of the shallow water equationswith bathymetry. The scheme is based on a staggered finite volume scheme for…
math.NA2021
Finite volume schemes and Lax-Wendroff consistency
R Eymard, T Gallouët, R Herbin +1
We present a (partial) historical summary of the mathematical analysis of finite differences and finite volumes methods, paying a special attention to the Lax-Richtmyer and Lax-Wen…
math.NA2021★ 1 cited
Weak Consistency of Finite Volume Schemes for Systems of Non Linear Conservation Laws: Extension to Staggered Schemes
T Gallouët, R Herbin, J. -C Latché
We prove in this paper the weak consistency of a general finite volume convection operator acting on discrete functions which are possibly not piecewise-constant over the cells of…