DuFort--Frankel-Type Methods for Linear and Nonlinear Schrödinger Equations

Authors:
Lixin Wu
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
1996

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Abstract

In this paper we propose a so-called DuFort--Frankel-type method for the linear and nonlinear Schrödinger equations. Schemes of the DuFort--Frankel type are explicit and have solution-independent stability criteria. Moreover, the DuFort--Frankel-type method satisfies a discrete conservation law for the Schrödinger equations, and this is important to get reliable numerical solutions.