A new method for judging the computational stability of the difference schemes of nonlinear evolution equations |
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| Authors: | Wantao Lin Zhongzhen Ji Bin Wang Xiaozhong Yang |
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| Affiliation: | (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;(2) North China Electric Power University, 102206 Beijing, China |
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| 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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| Keywords: | nonlinear evolution equation difference scheme computational stability heuristic analysis |
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