Titre : Exponential stability of discrete-time damped Schrödinger equation Auteurs : Imen Nouira, Moez Khenissi, Revue : Advances in Pure and Applied Mathematics Numéro : Issue 4 (September 2021) Volume : 12 Date : 2021/09/6 DOI : 10.21494/ISTE.OP.2021.0725 ISSN : 1869-6090 Résumé : This article concerns the discrete-time problem of the damped Schrödinger equation in a bounded domain and the internal stabilization problem is considered. We constructed a well-posed discrete-time scheme and we proved the exponential stability. Numerical simulations are presented to illustrate the theoretical results. Éditeur : ISTE OpenScience