@Article{JCM-16-203, author = {Xiang , Xinming}, title = {The Large Time Convergence of Spectral Method for Generalized Kuramoto-Sivashinsky Equation (II)}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {3}, pages = {203--212}, abstract = {

In this paper, we study fully discrete spectral method and long time behavior of solution of generalized Kuramoto-Sivashinsky equation with periodic initial condition. We prove that the large time error estimation for fully discrete solution of spectral method. We prove the existence of approximate attractors $\mathcal{A}_N$, $\mathcal{A}_N^k$ respectively and $d (\mathcal{A}_N, \mathcal{A})\to 0$, $d (\mathcal{A}_N^k, \mathcal{A}) \to 0$.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9153.html} }