Reproducing kernel functions based univariate spline interpolation

被引：28

作者：

Geng, Fazhan ^{[1
,2
]}

Wu, Xinyuan ^{[2
,3
,4
]}

机构：

[1] Changshu Inst Technol, Sch Math & Stat, Suzhou 215500, Jiangsu, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[3] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

[4] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 122卷

基金：

中国博士后科学基金;

关键词：

Spline interpolation; Univariate; Reproducing kernel functions;

D O I：

10.1016/j.aml.2021.107525

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by employing a class of reproducing kernel functions (RKFs), we discuss new techniques for constructing univariate splines interpolations. In the method, the basis of univariate splines are yielded by the RKFs directly. Also, the present method does not require the derivative information. The simulation results of numerical experiments demonstrate the validity of this method. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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