@Article{JCM-16-3,
author = {Xinming, Xiang},
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 = {<p style="text-align: justify;">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 $d (\mathcal{A}_N, \mathcal{A})\to 0$, $d (\mathcal{A}_N^k, \mathcal{A}) \to 0$.&nbsp;&nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1998-JCM-9153},
url = {https://global-sci.com/article/85683/the-large-time-convergence-of-spectral-method-for-generalized-kuramoto-sivashinsky-equation-ii}
}