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摘要
This paper considers a 2D Ginzburg-Landau equation with a periodic initial-value condition. A fully discrete Galerkin-Fourier spectral approximation scheme, which is a linear scheme, is constructed and the dynamical behaviour of the discrete system is then analysed. First, the existence and convergence of global attractors of the discrete system are obtained by a priori estimates and the error estimates of the discrete solution without any restriction on the time step, and the convergence of the discrete scheme is then obtained. The numerical stability of the discrete scheme is proved.
- 出版日期2008-5
- 单位北京大学
