A Relaxation Scheme for the Nonlinear Schrödinger Equation

Authors:
Christophe Besse
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
2004

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Abstract

In this paper, we present a new numerical scheme for the nonlinear Schrödinger equation. This is a relaxation-type scheme that avoids solving for nonlinear systems and preserves density and energy. We give convergence results for the semidiscretized version of the scheme and perform several numerical experiments.