A new multiquadric quasi-interpolation operator with interpolation property

作者：Wu, Jinming^*

来源：Mathematical Methods in the Applied Sciences, 2014, 37(11): 1593-1601.

DOI：10.1002/mma.2915

• radial basis function
• multiquadric function
• quasi-interpolation
• interpolation property

In this article, we discuss a class of multiquadric quasi-interpolation operator that is primarily on the basis of Wu-Schaback's quasi-interpolation operator LD and radial basis function interpolation. The proposed operator possesses the advantages of linear polynomial reproducing property, interpolation property, and high accuracy. It can be applied to construct flexible function approximation and scattered data fitting from numerical experiments.

• 出版日期2014-7-30
• 单位浙江工商大学