APPROXIMATING THE NONLINEAR SCHRODINGER EQUATION BY A TWO LEVEL LINEARLY IMPLICIT FINITE ELEMENT METHOD

We study a numerical scheme for an initial- and Dirichlet boundary-value problem for a nonlinear Schrodinger equation. For the proposed fully discrete scheme we show convergence both in the [L.sub.2]- and [H.sup.1]-norms. Bibliography: 16 titles.
UDC 517.9 1 Introduction We consider an initial- and Dirichlet boundary-value problem for a nonlinear Schrodinger equation and approximate the solution by using a local (nonuniform) two level scheme in [...]