C2 weighted piecewise rational interpolation

作者：

Highlights：

• A localized scheme for smoothly interpolating discrete data is proposed, based on a rational weight function.

• C2 regularity of the proposed interpolants is proved, and analysis for the error bound is performed.

• The construction procedure used in the quadratic and cubic cases is generalised to those involving interpolation polynomials of degree m≥2.

摘要

•A localized scheme for smoothly interpolating discrete data is proposed, based on a rational weight function.•C2 regularity of the proposed interpolants is proved, and analysis for the error bound is performed.•The construction procedure used in the quadratic and cubic cases is generalised to those involving interpolation polynomials of degree m≥2.

论文关键词：Rational weight function,Weighted piecewise interpolation,Cubic spline

论文评审过程：Received 18 November 2020, Revised 21 April 2021, Accepted 25 April 2021, Available online 26 May 2021, Version of Record 26 May 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126366