具有波动算子的非线性Schr dinger方程的谱方法

The Spectral Methods for Nonlinear Schrdinger Equation with Wave Operator

本文讨论了一类具有波动算子的非线性 Schr dinger方程的周期初值问题 ,构造了半离散和全离散的 Fourier谱格式 ,利用有界延拓法 ,证明了格式的收敛性与稳定性 ,并给出了误差估计 。

In this paper, the nonlinear Schrodinger equation with wave operator of initial value periodic problem are considered. The semi discrete spectral scheme and the full discrete spectral scheme are constructed. By using the bound extension method, the convergence, stability and error estimate of these schemes are proved.