一种新型B-样条拟插值  

A new B-spline quasi-interpolation

作　　者：徐应祥 XU Yingxiang(College of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China)

机构地区：[1]仲恺农业工程学院计算科学学院,广东广州510225

出　　处：《仲恺农业工程学院学报》2021年第4期60-65,共6页Journal of Zhongkai University of Agriculture and Engineering

基　　金：国家自然科学基金(10871160)资助项目.

摘　　要：利用B-样条作拉伸与压缩变换,得到可以逼近δ函数的分段多项式函数.在此基础上,构造了一种新的拟插值,分析了相应的误差,并进行了数值试验.数值例子表明,这种基于B-样条的新型拟插值具有良好的逼近效果.By using B-spline for stretching and compression transformation,a kind of piecewise polynomial function could be obtained and approximateδ-function.On the basis,a new quasi interpolation was constructed,while the corresponding errors were analyzed and numerical experiments were carried out.The results of numerical examples showed that the new quasi-interpolation on the basis of B-spline had good approximation effect.

关 键 词：B-SPLINE 拟插值 插值 

分 类 号：O241.5[理学—计算数学] TP391.7[理学—数学]