Z. Fei et al., NUMERICAL-SIMULATION OF NONLINEAR SCHRODINGER SYSTEMS - A NEW CONSERVATIVE SCHEME, Applied mathematics and computation, 71(2-3), 1995, pp. 165-177
We present a new numerical scheme for nonlinear Schrodinger type equat
ions. The scheme conserves the energy and charge of the systems and it
is linearly implicit. Numerical experiments for several physical prob
lems show that our scheme is stable, accurate, and efficient.