Numerical Simulation of Nonlinear Schrödinger Systems: A New Conservative Scheme
Z. Fei, V.M. Pérez-García, L. Vázquez
Applied Mathematics Computation, 71, 164-177 (1995).
MOLAB authors
Pérez García, Victor M.. 
Abstract
We present a new numerical scheme for nonlinear Schrödinger type equations. The scheme conserves the energy and charge of the systems and it is linearly implicit. Numerical experiments for several physical problems show that our scheme is stable, accurate, and efficient.