Analysis of a Fourier-Galerkin numerical scheme for a 1D Benney-Luke-Paumond equation

We study convergence of the semidiscrete and fully discrete formulations of a Fourier- Galerkin numerical scheme to approximate solutions of a nonlinear Benney-Luke-Paumond equation that models long water waves with small amplitude propagating over a shallow channel with at bottom. The accuracy of t...