基于样条拟插值的新型数值积分法  

New numerical integration method based on spline quasi-interpolation

作　　者：徐应祥 王佳 XU Yingxiang;WANG Jia(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》2022年第2期40-44,56,共6页Journal of Zhongkai University of Agriculture and Engineering

摘　　要：首先构造了一种基于等距节点的样条拟插值方法.这种新样条拟插值方法具有常数再生性.然后将其应用于计算定积分,得到了一类新的数值积分法.数值试验表明,这种数值积分法具有较高的精度和较快的收敛速度.First,a spline quasi-interpolation method based on isometric nodes had been constructed,which had constant reproducibility.Then it was applied to calculate definite integrals and a new type of numerical integration method had been obtained.Numerical experiments showed that:this numerical integration method had higher precision and faster convergent rate.

关 键 词：B-SPLINE 拟插值 数值积分 

分 类 号：O241.5[理学—计算数学] TP391.7[理学—数学]