Domain decomposition method for nonlinear generalized Schrödinger-type systems: Semi-discrete problem

摘要

In this paper, the domain decomposition method is developed to solve a class of nonlinear evolution systems—nonlinear generalized Schrödinger-type systems. The detailed computation procedure and the proof of convergence are proposed. Therefore, it provides a new computing method and theoretical foundation for solving the numerical solutions of large scale and nonlinear systems.