基于广义延拓的数值逼近方法  

Generalized extended interpolation method

作　　者：张文娟[1] 张国华[1] 杨继业[2] 

机构地区：[1]西安工业大学数理系,陕西西安710032 [2]宁夏大学数计系,宁夏银川750021

出　　处：《纺织高校基础科学学报》2007年第3期281-285,共5页Basic Sciences Journal of Textile Universities

摘　　要：针对科学实验和工程中实际问题的需要以及现有的插值法和拟合法的局限性,给出一种分段光滑的数值逼近方法——广义延拓逼近法.它在分段边界点上进行插值,使得分段之间的变化具有一定的协调性;另一方面又利用分段插值区域的周围结点(包括内点)的信息,实现分段最佳拟合,从而达到吸取插值法和拟合法的特性,将两者有机结合起来的目的.数值实验证明,广义延拓逼近法逼近效果良好,绝对误差平均值为0.006 3.Aiming at the need of scientific experiment and project and the limits of current interpolation and fitting method, a numerical approaching method is given in this paper , namely generalized extended interpolation method. It interpolates at the boundry points of each segment in order to have compatibility between the segments. On the other hand, it achieves the best fitting effect by using the surrouding points of each segment. The features of interpolation and fitting methods are combined together in this method. Numerical experiments prove that it has good approaching effect, and the average value of absolute error is 0.006 3.

关 键 词：分段光滑逼近 广义延拓 插值 拟合 

分 类 号：O241.5[理学—计算数学]