ERROR ANALYSIS OF NONLINEAR GALERKIN METHODS FOR KURAMOTO-SIVASHINSKY EQUATIONS

作     者：范先令 王碧祥 

作者机构：Department of MathematicsLanzhou UniversityLanzhou 730000PRC Institute of Applied Physics and Computational MalthernaticsP.O. Box 8009Beijing 100088PRC 

出 版 物：《Numerical Mathematics A Journal of Chinese Universities(English Series)》 (高等学校计算数学学报(英文版))

年 卷 期：1996年第5卷第1期

页      面：49-61页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：Nonlinear Galerkin methods approximate inertial manifolds Kuramoto-Sivashinsky equations. 

摘      要：Nonlinear Galerkin methods are new schemes for integrating dissipative systems:In the present paper, we obtain the estimates to the rate of convergence of such methods for Kuramoto-Sivashinsky equations. In particular, by an illustrative example, we show that nonlinear Galerkin methods converge faster than the usual Galerkin method.