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Dufort-Frankel-Type Methods for Linear and Nonlinear Schrodinger Equations

Lixin Wu
SIAM Journal on Numerical Analysis
Vol. 33, No. 4 (Aug., 1996), pp. 1526-1533
Stable URL: http://www.jstor.org/stable/2158315
Page Count: 8
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Dufort-Frankel-Type Methods for Linear and Nonlinear Schrodinger Equations
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Abstract

In this paper we propose a so-called DuFort-Frankel-type method for the linear and nonlinear Schrodinger 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 Schrodinger equations, and this is important to get reliable numerical solutions.

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