|
|||||
|
|
The Impacts of Initial Perturbations on the Computational Stability of Nonlinear Evolution Equations |
|
| Authors: | WU Li-Fei LIN Wan-Tao and YANG Xiao-Zhong |
| Institution: | 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;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 |
| Abstract: | 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 one- dimensional 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. |
| Keywords: | nonlinear evolution equation initial perturbations computational stability initial values |
| 本文献已被 CNKI 等数据库收录！ | |
| 点击此处可从《大气和海洋科学快报》浏览原始摘要信息 | |
| 点击此处可从《大气和海洋科学快报》下载免费的PDF全文 | |