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Volume 1, Issue 2
Implicit Difference Schemes for the Generalized Non-Linear Schrödinger System

You-Lan Zhu

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

Published online: 1983-01

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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 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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@Article{JCM-1-116, author = {You-Lan Zhu}, title = {Implicit Difference Schemes for the Generalized Non-Linear Schrödinger System}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9688.html} }
TY - JOUR T1 - Implicit Difference Schemes for the Generalized Non-Linear Schrödinger System AU - You-Lan Zhu JO - Journal of Computational Mathematics VL - 2 SP - 116 EP - 129 PY - 1983 DA - 1983/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9688.html KW - AB -

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.

You-Lan Zhu. (1983). Implicit Difference Schemes for the Generalized Non-Linear Schrödinger System. Journal of Computational Mathematics. 1 (2). 116-129. doi:
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