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| The Impacts of Initial Perturbations on the Computational Stability of Nonlinear Evolution Equations |
| WU Li-Fei,LIN Wan-Tao,YANG Xiao-Zhong |
| 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 |
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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.
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Received: 15 July 2011
Revised: 29 August 2011
Accepted: 29 August 2011
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