Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains

被引：18

作者：

Lamberti, Paola ^{[1
]}

机构：

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

来源：

BIT NUMERICAL MATHEMATICS | 2009年 / 49卷 / 03期

关键词：

Cubatures; Bivariate spline approximation; Quasi-interpolation;

D O I：

10.1007/s10543-009-0237-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C-1 bivariate quadratic B-splines on a rectangular domain Omega, endowed with a non-uniform criss-cross triangulation, with discrete linear functionals as coefficients. Such B-splines have their supports contained in Omega and there is no data point outside this domain. Numerical results illustrate the methods.

引用

页码：565 / 588

页数：24

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