SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION

作     者：马逸尘 胡常兵 

作者机构：Research Centre for Applied Mathematics Xi'an Jiaotong University Xi'an 710049 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：1997年第17卷第1期

页      面：108-120页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：国家攀登计划项目 

主　　题：nonlinear evolution equation inertial manifold time discretization 

摘      要：In this paper we discuss the smoothness of inertial manifolds under time discretization. By the fibre contract principle, see Section 4, we obtain a sufficient condition for C-k(k greater than or equal to 1) inertial manifolds. In view of the numerical computation for dissipative nonlinear evolution equations, it is more important to consider the discretized case than continuous case([3]).