非线性Galerkin方法的有界性和稳定性分析

Boundedness and Stability Analysis of Nonlinear Galerkin Methods

考虑了在谱离散和有限元离散情形下，数值求解非线性发展方程的一种全离散非线性Ｇａｌｅｒｋｉｎ方法，并分析了数值解的有界性和稳定性条件，其有界性条件仅仅依赖于粗网格参数Ｈ．

The full discrete nonlinear Galerkin method for solving numerically the nonlinear evolution equations in the case of the spectral and finite element discretizations is given Moreover.the boundedness and stability of the numerical solutions where the boundedness condition depend sonly on the coarse grid parameter H are analysed.