On some aspects of multivariate polynomial interpolation

被引：1

作者：

Le Méhauté, A ^{[1
]}

机构：

[1] Univ Nantes, Fac Sci & Tech, Dept Math, F-44322 Nantes 03, France

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2000年 / 12卷 / 04期

关键词：

Hermite interpolation; multivariate interpolation; Lagrange formula; Newton formula; Aitken-type algorithm; Abel interpolation;

D O I：

10.1023/A:1018985606661

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to present some aspects of multivariate Hermite polynomial interpolation. We do not focus on algebraic considerations, combinatoric and geometric aspects, but on explicitation of formulas for uniform and non-uniform bivariate interpolation and some higher dimensional problems. The concepts of similar and equivalent interpolation schemes are introduced and some differential aspects related to them are also investigated.

引用

页码：311 / 333

页数：23

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