Implicit Difference Schemes For The Generalized Non-Linear Schrodinger System
You-Lan Zhu 11 Computing Center, Academia Sinica, China
Received 1992-9-7 Revised Online 2006-11-16
In this paper we prove under certain weak conditions that two classes of implicit difference schemes for the generalized non-linear schrodinger 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 Schrodinger system is established in this paper.