@Article{JCM-1-116, author = {}, 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} }