Abstract:

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

Key words: nonlinear, computational stability, nonconservative scheme, nonperiodic boundary condition