Superconvergent spline quasi-interpolants and an application to numerical integration

被引：3
|
作者：
Allouch, C. [1 ]
Boujraf, A. [2 ]
Tahrichi, M. [2 ]
机构：
[1] Multidisciplinary Fac Nador, MASI Lab, Nador, Morocco
[2] Univ Mohammed 1, LANO Lab, FSO, Oujda, Morocco
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 137卷
关键词：
B-spline; Superconvergent quasi-interpolant; Quadrature formula; PARTITIONS; ORDER;
D O I：
10.1016/j.matcom.2016.09.014
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we present a new technique to get superconvergence phenomenon of spline quasi-interpolants at the knots of the partition. This method gives rise to good approximation not only at these knots but also on the whole domain of definition. Moreover, we give an application to numerical integration. Numerical results are given to illustrate the theoretical ones. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：90 / 108
页数：19
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