摘要
考虑利用谱方法求一维双曲型方程的数值解,引进了一种稳定性过滤算子,从理论和数值试验上分析了该过滤算子对数值解稳定性和精度的影响.理论分析虽然基于线性化的一维常系数双曲型方程,但数值试验显示分析结果同样适用于非线性情形.
One-dimensional hyperbolic equation with spectral methods is studied.A filtering technique is introduced and analyzed.It is proved that the filtering treatment has an effect on the stability of the numerical solution.Numerical tests are in good agreement with the theoretical analysis.
出处
《烟台大学学报（自然科学与工程版）》
CAS
2007年第3期169-171,共3页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
国家自然科学基金资助项目(19801029)
关键词
双曲型方程
谱方法
过滤
hyperbolic equation
spectral method
filtering
