A simple method for constructing integro spline quasi-interpolants

被引：11
|
作者：
Boujraf, A. [1 ]
Sbibih, D. [1 ]
Tahrichi, M. [1 ]
Tijini, A. [1 ]
机构：
[1] Univ Mohammed 1, MATSI Lab, URAC 05, Oujda, Morocco
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2015年 / 111卷
关键词：
B-spline; Quasi-interpolant; Integral value; End conditions; APPROXIMATION;
D O I：
10.1016/j.matcom.2014.11.019
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 study a new method for function approximation from the given integral values over successive subintervals by using cubic B-splines. The method does not need any additional end conditions and it is easy to be implemented without solving any system of linear equations. The method is able to approximate the original function and its first and second-order derivatives over the global interval successfully. The approximation errors are well studied. Numerical results illustrate that our method is very effective. (C) 2014 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：36 / 47
页数：12
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