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Math. Comput. Appl. 2017, 22(1), 11; doi:10.3390/mca22010011

A New Approximation Method with High Order Accuracy

School of Mathematics and Statistics, Linyi University, Linyi 276005, China
Academic Editor: Xiuping Liu
Received: 12 October 2016 / Revised: 2 January 2017 / Accepted: 5 January 2017 / Published: 19 January 2017
(This article belongs to the Special Issue Information and Computational Science)
View Full-Text   |   Download PDF [763 KB, uploaded 19 January 2017]   |  

Abstract

In this paper, we propose a new multilevel univariate approximation method with high order accuracy using radial basis function interpolation and cubic B-spline quasi-interpolation. The proposed approach includes two schemes, which are based on radial basis function interpolation with less center points, and cubic B-spline quasi-interpolation operator. Error analysis shows that our method produces higher accuracy compared with other approaches. Numerical examples demonstrate that the proposed scheme is effective. View Full-Text
Keywords: Radial Basis Functions (RBFs); cubic B-spline; quasi-interpolation; approximation accuracy Radial Basis Functions (RBFs); cubic B-spline; quasi-interpolation; approximation accuracy
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Jiang, Z. A New Approximation Method with High Order Accuracy. Math. Comput. Appl. 2017, 22, 11.

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