Implicit Difference Schemes for the Generalized Non-Linear Schrödinger System

Implicit Difference Schemes for the Generalized Non-Linear Schrödinger System

Year:    1983

Journal of Computational Mathematics, Vol. 1 (1983), Iss. 2 : pp. 116–129

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 equation 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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1983-JCM-9688

Journal of Computational Mathematics, Vol. 1 (1983), Iss. 2 : pp. 116–129

Published online:    1983-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords: