非线性色散Wave Equations方程数值解的误差增长率
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations
摘要：
研究了非线性色散波方程的孤波解的数值误差。一些现有的结果为离散的孤波解的特殊方程表明，误差增长的时间为数值方法，不保存能量，但增长仅线性保守的方法。我们提供的数值实验表明，这一结果扩展到一个非常广泛的一类方程和数值方法。
英文摘要：
We study the numerical error in solitary wave solutions of nonlinear dispersive wave equations. A number of existing results for discretizations of solitary wave solutions of particular equations indicate that the error grows quadratically in time for numerical methods that do not conserve energy, but grows only linearly for conservative methods. We provide numerical experiments suggesting that this result extends to a very broad class of equations and numerical methods.
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