@ARTICLE{10.21494/ISTE.OP.2021.0725, 

TITLE={Exponential stability of discrete-time damped Schrödinger equation}, 
  
AUTHOR={Imen Nouira, Moez Khenissi, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={12}, 

NUMBER={Issue 4 (September 2021)}, 
	
YEAR={2021}, 

URL={http://www.openscience.fr/Exponential-stability-of-discrete-time-damped-Schrodinger-equation-2007}, 
	
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.}}