Cubature rule associated with a discrete blending sum of quadratic spline quasi-interpolants

被引：4

作者：

Demichelis, Vittoria ^{[1
]}

Sablonniere, Paul ^{[2
]}

机构：

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

[2] INSA Rennes, Ctr Math, F-35043 Rennes, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 235卷 / 01期

关键词：

Multivariate numerical integration; Spline quasi-interpolants; INTEGRATION;

D O I：

10.1016/j.cam.2010.05.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new cubature rule for a parallelepiped domain is defined by integrating a discrete blending sum of C(1) quadratic spline quasi-interpolants in one and two variables. We give the weights and the nodes of this cubature rule and we study the associated error estimates for smooth functions. We compare our method with cubature rules based on the tensor products of spline quadratures and classical composite Simpson's rules. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：174 / 185

页数：12

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