29 citations · 68 across the 10 of their papers we have counts for
Showing 2021 · math.NAShow all
3 papers · 2 filters
math.NA2021★ 10 cited
Model order reduction strategies for weakly dispersive waves
Davide Torlo, Mario Ricchiuto
We focus on the numerical modelling of water waves by means of depth averaged models. We consider in particular PDE systems which consist in a nonlinear hyperbolic model plus a lin…
math.NA2021
Analytical travelling vortex solutions of hyperbolic equations for validating very high order schemes
Mario Ricchiuto, Davide Torlo
Testing the order of accuracy of (very) high order methods for shallow water (and Euler) equations is a delicate operation and the test cases are the crucial starting point of this…
math.NA2021★ 1 cited
Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping
Sixtine Michel, Davide Torlo, Mario Ricchiuto +1
We study continuous finite element dicretizations for one dimensional hyperbolic partial differential equations. The main contribution of the paper is to provide a fully discrete s…