Volume 23, Number 3/4 (2010), 237-252.
We consider a semi-discrete in time Crank-Nicolson scheme to discretize a damped forced nonlinear Schrödinger equation in $2D$. This provides us with a discrete infinite-dimensional dynamical system. We prove the existence of a finite-dimensional global attractor for this dynamical system.
Differential Integral Equations, Volume 23, Number 3/4 (2010), 237-252.