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本文以二维涡度方程为模型，介绍了谱方法和拟谱方法以及它们与差分方法和有限元法相结合的混合解法．这些方法可推广应用于其它一些类似的非线性问题．本文还给出了这些方法的某些数值例子和误差估计结果
In this paper, the two-dimensional vorticity equation is used as a model to describe the spectral method and the pseudo-spectral method and their hybrid method with the difference method and the finite element method. These methods can be generalized to other similar nonlinear problems. Some numerical examples and error estimates of these methods are also given in this paper