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IMPLICIT DIFFERENCE SCHEMES FOR THE GENERALIZED NON-LINEAR SCHRÖDINGER SYSTEM

Zhu You-lan and 朱幼兰
Journal of Computational Mathematics
Vol. 1, No. 2 (April 1983), pp. 116-129
Stable URL: http://www.jstor.org/stable/43692310
Page Count: 14
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
IMPLICIT DIFFERENCE SCHEMES FOR THE GENERALIZED NON-LINEAR SCHRÖDINGER SYSTEM
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Abstract

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

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