一种带噪声的周期函数数值微分方法  

A Numerical Differentiation Method for Period Function with Noisy Data

作　　者：郜均均[1] 贺国强[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2009年第2期61-71,共11页Communication on Applied Mathematics and Computation

摘　　要：本文利用Thkhonov正则化方法讨论了带有噪声离散数据的周期函数的数值微分问题,证明了该方法存在唯一的三次周期样条函数解,并给出了其误差估计,而且从理论和数值例子说明了此方法的有效性.In this paper,we use the Tikhonov regularization method to discuss the numerical differentiation problem of a period function with noisy data.The unique solution is provided existence,and is a period spline function.The error estimate is also given.The theoretical result and numerical examples prove that our method is applicable.

关 键 词：不适定问题 离散数据 TIKHONOV正则化方法 数值微分 周期样条 

分 类 号：O241.8[理学—计算数学]