Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain
Résumé
Based on the discrete artificial boundary condition introduced in [16] for the two-dimensional free Schrödinger equation in a computational rectangular domain, we propose to analyze the stability and convergence rate of the resulting full scheme. We prove that the global scheme is L 2-stable and that the accuracy is second-order in time, confirming then the numerical results reported in [16].
Origine : Fichiers produits par l'(les) auteur(s)
Loading...