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A new method for judging the computational stability of the difference schemes of nonlinear evolution equations

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Chinese Science Bulletin

Abstract

For the non-conservative difference schemes of nonlinear evolution equations with aperiodic boundary conditions, taken one-dimensional nonlinear advection equation as an example, a new method for judging the computational stability is given. It is proved to be practical and effective through several numerical examples. The stability criteria obtained by this method are really the necessary conditions of computational stability.

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Authors and Affiliations

  1. State Key Laboratory of Numerical Modeting for Atmospheric Science and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029, Beijing, China

    Wantao Lin, Zhongzhen Ji & Bin Wang

  2. North China Electric Power University, 102206, Beijing, China

    Xiaozhong Yang

Authors
  1. Wantao Lin
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  2. Zhongzhen Ji
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  3. Bin Wang
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  4. Xiaozhong Yang
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Cite this article

Lin, W., Ji, Z., Wang, B. et al. A new method for judging the computational stability of the difference schemes of nonlinear evolution equations. Chin. Sci. Bull. 45, 1358–1361 (2000). https://doi.org/10.1007/BF02886236

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  • DOI: https://doi.org/10.1007/BF02886236

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