Hermite interpolation on the unit sphere and limits of Lagrange projectors

被引：8

作者：

Phung Van Manh ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy St, Hanoi, Vietnam

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2021年 / 41卷 / 02期

关键词：

Lagrange interpolation; Hermite interpolation; interpolation on the sphere; POLYNOMIAL INTERPOLATION; POINTS;

D O I：

10.1093/imanum/draa026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct new Hermite and Lagrange interpolation schemes on the unit sphere in R-3. We give Newton-type formulas for interpolation polynomials and use them to show that the Hermite projectors are the limits of Lagrange projectors when interpolation points coalesce.

引用

页码：1441 / 1464

页数：24

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