A note on energy conservation and stability of nonlinear time-stepping algorithms
暂无分享,去创建一个
An example of a nonlinear time-stepping algorithm which preserves energy exactly but is unstable is presented and used to illustrate the fact that energy conservation is not sufficient for numerical stability in the nonlinear range.
[1] J. Marsden,et al. Product formulas and numerical algorithms , 1978 .
[2] R. D. Richtmyer,et al. Difference methods for initial-value problems , 1959 .