The Impacts of Initial Perturbations on the Computational Stability of Nonlinear Evolution Equations  

作　　者：WU Li-Fei LIN Wan-Tao YANG Xiao-Zhong 

机构地区：[1]State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric_ Physics, Chinese Academy of Sciences, Beijing 100029, China [2]Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

出　　处：《Atmospheric and Oceanic Science Letters》2011年第5期293-297,共5页大气和海洋科学快报（英文版）

基　　金：supported by the"Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues"of the Chinese Academy of Sciences (Grant No.XDA01020304)

摘　　要：The impacts of initial perturbations on the computational stability of nonlinear evolution equations for non-conservative difference schemes and non-periodic boundary conditions are studied through theoretical analysis and numerical experiments for the case of onedimensional equations.The sensitivity of the difference scheme to initial values is further analyzed.The results show that the computational stability primarily depends on the form of the initial values if the difference scheme and boundary conditions are determined.Thus,the computational stability is sensitive to the initial perturbations.The impacts of initial perturbations on the computational stability of nonlinear evolution equations for non-conservative difference schemes and non-periodic boundary conditions are studied through theoretical analysis and numerical experiments for the case of onedimensional equations. The sensitivity of the difference scheme to initial values is further analyzed. The results show that the computational stability primarily depends on the form of the initial values if the difference scheme and boundary conditions are determined. Thus, the computational stability is sensitive to the initial perturbations.

关 键 词：nonlinear evolution equation initial perturbations computational stability initial values 

分 类 号：O175.29[理学—数学] P456.7[理学—基础数学]