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.
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
