Polynomial interpolation on the unit sphere II

被引：8

作者：

Castell, Wolfgang zu

Fernandez, Noemi Lain

Xu, Yuan

机构：

[1] GSF, Natl Res Ctr Environm & Hlth, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2007年 / 26卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

interpolation; spherical polynomials; unit sphere;

D O I：

10.1007/s10444-005-7510-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of interpolation at (n + 1)(2) points on the unit sphere S-2 by spherical polynomials of degree at most n is proved to have a unique solution for several sets of points. The points are located on a number of circles on the sphere with even number of points on each circle. The proof is based on a method of factorization of polynomials.

引用

页码：155 / 171

页数：17

共 15 条

[1] On a Hermite interpolation by polynomials of two variables [J].