Error bounds on the approximation of functions and partial derivatives by quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of a rectangular domain

被引：9

作者：

Dagnino, Catterina ^{[1
]}

Remogna, Sara ^{[1
]}

Sablonniere, Paul ^{[2
]}

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] INSA Rennes, Ctr Math, F-35708 Rennes 7, France

来源：

BIT NUMERICAL MATHEMATICS | 2013年 / 53卷 / 01期

关键词：

Bivariate splines; Quasi-interpolation; Derivative approximation;

D O I：

10.1007/s10543-012-0392-2

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Given a non-uniform criss-cross triangulation of a rectangular domain Omega, we consider the approximation of a function f and its partial derivatives, by general C (1) quadratic spline quasi-interpolants and their derivatives. We give error bounds in terms of the smoothness of f and the characteristics of the triangulation. Then, the preceding theoretical results are compared with similar results in the literature. Finally, several examples are proposed for illustrating various applications of the quasi-interpolants studied in the paper.

引用

页码：87 / 109

页数：23

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