@ARTICLE{10.21494/ISTE.OP.2021.0725, 

TITLE={Stabilité exponentielle de l’equation de Schrödinger amortie en temps discret}, 
  
AUTHOR={Imen Nouira, Moez Khenissi, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={12}, 

NUMBER={Numéro 3 (Septembre 2021)}, 
	
YEAR={2021}, 

URL={https://www.openscience.fr/Stabilite-exponentielle-de-l-equation-de-Schrodinger-amortie-en-temps-discret-2006}, 
	
DOI={10.21494/ISTE.OP.2021.0725}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={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.}}