非线性Schrdinger方程差分格式的计算稳定性

Computational stability of difference schemes of nonlinear Schrdinger equation

运用判定非线性发展方程差分格式计算稳定性的Hirt启发性分析方法,对一类非线性Schrdinger方程差分格式的计算稳定性进行分析,得到了保证差分格式计算稳定的必要条件.数值试验结果进一步表明,得到的稳定性判据不仅是保证差分格式计算稳定的必要条件,而且在实际中也是非常有效的.

The computational stability of nonlinear Schrdinger equation is analyzed by the Hirt heuristic analysis in this study. Using the method,the necessary condition of computational stability of difference schemes about the nonlinear Schrdinger equation is given,which is proved to be practical and effective by four sets of numerical examples.