Journal of University of Chinese Academy of Sciences >
Farther Research on Nonlinear Computational Instability Problems
Received date: 2001-02-15
Online published: 2001-01-10
Some new researchs on nonlinear computational instability are introduced, the contents are as fol-lows :(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 re-vealed ;(2)Nonlinear computation instability problem of conservative difference equations with nonperiodic bound-ary conditions is further discussed, and some effective ways to avoid nonlinear computation instability are included ;(3)Nonlinear computation instability problem of nonconservative difference equationswith aperiodic boundary condi-tion is focused on by using nonlinear advection equations as examples, and “synthetically analysis method” is given to judge their computation stability
Ji Zhongzhen , Yang Xiaozhong , Lin Wantao . Farther Research on Nonlinear Computational Instability Problems[J]. Journal of University of Chinese Academy of Sciences, 2001 , 18(1) : 59 -65 . DOI: 10.7523/j.issn.2095-6134.2001.1.010
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