18 citations · 30 across the 10 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.NA2012
Convergence of a numerical scheme for a coupled Schrödinger--KdV system
Paulo Amorim, Mário Figueira
We prove the convergence in a strong norm of a finite difference semi-discrete scheme approximating a coupled Schrödinger--KdV system on a bounded domain. This system models the in…
math.NA2012
Convergence of a finite difference method for the KdV and modified KdV equations with data
Paulo Amorim, Mário Figueira
We prove strong convergence of a semi-discrete finite difference method for the KdV and modified KdV equations. We extend existing results to non-smooth data (namely, in ), wi…
math.AP2012
The linear stability of shock waves for the nonlinear Schrödinger-Inviscid Burgers system
Paulo Amorim, Joao-Paulo Dias, Mario Figueira +1
We investigate the coupling between the nonlinear Schrödinger equation and the inviscid Burgers equation, a system which models interactions between short and long waves, for insta…