J. Comp. Math., 1 (1983), pp. 116-129.


Implicit Difference Schemes For The Generalized Non-Linear Schrodinger System

You-Lan Zhu 1

1 Computing Center, Academia Sinica, China

Received 1992-9-7 Revised Online 2006-11-16
Abstract

In this paper we prove under certain weak conditions that two classes of implicit difference schemes for the generalized non-linear schrodinger system are convergent and that an iteration method for the corresponding non-linear difference equation is convergent. Therefore, quite a complete theoretical foundation of implicit schemes for the generalized non-linear Schrodinger system is established in this paper.

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