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Symmetric Domain Decomposition Method for Large Scale and Nonlinear Evolution Systems

The domain decomposition method is one of the most important and effective methods to obtain the numerical solutions for partial differential equations at present. And the symmetric domain decomposition method, although a special domain decomposition method just developed recently, has very extensive application prospects shown by some present work. The purpose of this article is to generalize this method and apply it to large scale and nonlinear evolution systems. It is demonstrated by theoretical analyses that such method is stable and convergent. And an example is employed to show the applicability and efficiency of this method.