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
收藏
页码：565 / 588
页数：24
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