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强迫耗散非线性发展方程显式差分格式的计算稳定性
引用本文:Lin Wantao,Ji Zhongzhen,Wang Bin. 强迫耗散非线性发展方程显式差分格式的计算稳定性[J]. 大气科学进展, 2001, 18(3): 413-417. DOI: 10.1007/BF02919320
作者姓名:Lin Wantao  Ji Zhongzhen  Wang Bin
作者单位:Lin Wantao,Ji Zhongzhen and Wang Bin LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029
基金项目:the National Outstanding Youth Scientist Foundation of China (GrantNo. 49825109), the Key Innovation Project of Chinese Academ
摘    要:
基于计算准稳定的概念来分析强迫耗散非线性方程显式差分格式的计算稳定性,给出强迫耗散非线性大气方程组显示差分格式计算准稳定的判据,为设计强迫耗散非线性大气方程组计算稳定的显式差分格式提供了新的思路和理论依据。

关 键 词:计算准稳定性  计算稳定性  强迫耗散非线性发展方程  显式差分格式

Computational stability of the explicit difference schemes of the forced dissipative nonlinear evolution equations
Lin Wantao,Ji Zhongzhen,Wang Bin. Computational stability of the explicit difference schemes of the forced dissipative nonlinear evolution equations[J]. Advances in Atmospheric Sciences, 2001, 18(3): 413-417. DOI: 10.1007/BF02919320
Authors:Lin Wantao  Ji Zhongzhen  Wang Bin
Affiliation:LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
Abstract:
The computational stability of the explicit difference schemes of the forced dissipative nonlinear evolution equations is analyzed and the computational quasi-stability criterion of explicit difference schemes of the forced dissipative nonlinear atmospheric equations is obtained on account of the concept of computational quasi-stability, Therefore, it provides the new train of thought and theoretical basis for designing computational stable difference scheme of the forced dissipative nonlinear atmospheric equations.
Keywords:Computational quasi-stability   Computational stability   Forced dissipative nonlinear evolution equation   Explicit difference scheme
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