Bivariate Simplex Spline Quasi-Interpolants

被引：5

作者：

Sbibih, D. ^{[1
]}

Serghini, A. ^{[1
]}

Tijini, A. ^{[1
]}

机构：

[1] Univ Mohammed 1, ESTO, MATSI Lab, Oujda, Morocco

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2010年 / 3卷 / 01期

关键词：

Polar form; quasi-interpolation; simplex B-spline; POWELL-SABIN PARTITIONS; B-SPLINES;

D O I：

10.4208/nmtma.2009.m9004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use the simplex B-spline representation of polynomials or piecewise polynomials in terms of their polar forms to construct several differential or discrete bivariate quasi interpolants which have an optimal approximation order. This method provides an efficient tool for describing many approximation schemes involving values and (or) derivatives of a given function.

引用

页码：97 / 118

页数：22

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