A New Approximation Method with High Order Accuracy

Mathematical and Computational Applications

Jiang, Ziwu¹ 

关键词: Radial Basis Functions (RBFs);    cubic B-spline;    quasi-interpolation;    approximation accuracy;   

DOI  :  10.3390/mca22010011

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY