Speaker
Ludovic Martaud
(Inria Rennes)
Description
This talk concerns the numerical approximations of the weak solutions of scalar hyperbolic conservation laws. After showing how to bypass the barrier theorems for the linear advection, the derivation of a second-order entropy-stable scheme will be presented for non-linear equations. The fully discrete stability result will be established for regular strictly convex entropy and under a parabolic CFL-like condition. Some numerical experiments will be presented to assess the accuracy and the stability of the proposed scheme.