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  • 标题:The Impacts of Initial Perturbations on the Computational Stability of Nonlinear Evolution Equations
  • 本地全文:下载
  • 作者:Wu Li-Fei ; Lin Wan-Tao ; Yang Xiao-Zhong
  • 期刊名称:Atmospheric and Oceanic Science Letters
  • 印刷版ISSN:1674-2834
  • 电子版ISSN:2376-6123
  • 出版年度:2011
  • 卷号:4
  • 期号:5
  • 页码:293-297
  • DOI:10.1080/16742834.2011.11446945
  • 语种:English
  • 出版社:Taylor and Francis Ltd
  • 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.
  • 关键词:nonlinear evolution equation; initial perturbations; computational stability; initial values
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