平面散乱数据插值型拟插值  

Interpolation-quasi-interpolation form for scattered data in plane

作　　者：徐应祥 薛鹏翔[2] XU Yingxiang;XUE Pengxiang(College of Computational Science, Zhongkai University of Agriculture and Engineering,Guangzhou 510225,China;College of Science, Xi’an Technological University, Xi’an 710021,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 [2]西安工业大学理学院,陕西西安710021

出　　处：《仲恺农业工程学院学报》2021年第1期52-58,共7页Journal of Zhongkai University of Agriculture and Engineering

摘　　要：为了构造有较高阶精度的平面散乱数据拟插值,考虑到插值函数有较高精度的优点,将已有拟插值技巧与插值方法结合,构造了一种新的插值型拟插值,分析了相应的误差,并进行了数值试验.数值试验表明,这种插值型拟插值方法对平面散乱数据具有良好的逼近效果.To construct quasi-interpolation with higher accuracy for scattered data of plane,a new quasi-interpolation of interpolation form was constructed by merging quasi-interpolation technique and interpolation method regarding the advantages of interpolation function and its higher accuracy.The error analysis and numerical experiment were performed,the results showed that the new quasi-interpolation of interpolation form could be used very efficiently for scattered data approximated of plane.

关 键 词：散乱数据 精度 插值 拟插值 

分 类 号：O241.5[理学—计算数学] TP391.7[理学—数学]