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 - <p style="text-align: justify;">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.</p>