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Farther Research on Nonlinear Computational Instability Problems

Ji Zhongzhen Yang Xiaozhong Lin Wantao (National Key Laboratry of Atmospheric Science and Geophysics, Institute of Atmosphere Physics, Chinese Academy of Sciences ,Beijing 100029)  
Some new researchs on nonlinear computational instability are introduced, the contents are as follows: (1) Three types of representative evolution equations are analyzed, and the close relationship between the nonlinear computational stability and instability of their corresponding difference the properties of their solution is revealed; (2) Nonlinear computation instability problem of conservative difference equations with nonperiodic boundary conditions is further discussed, and some effective ways to avoid nonlinear computation instability are included; (3)Nonlinear computation instability problem of nonconservative difference equations with aperiodic boundary condition is focused on by using nonlinear advection equations as examples, and "synthetically analysis method" is given to judge their computation stability.
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