Adaptive interpolation with maximum order close to discontinuities

作者：

Highlights：

• We present a new general method to approximate functions with maximum order at the points close to the isolated discontinuities.

• We present a family of non-linear weights and a general formula to calculate them.

• The approximation using this new method presents a more approximate behaviour than when WENO or linear method are used.

• We perform several experiments to check the theoretical results.

摘要

•We present a new general method to approximate functions with maximum order at the points close to the isolated discontinuities.•We present a family of non-linear weights and a general formula to calculate them.•The approximation using this new method presents a more approximate behaviour than when WENO or linear method are used.•We perform several experiments to check the theoretical results.

论文关键词：Rational interpolation,Order,Point-value interpolation,Optimal weights,WENO schemes

论文评审过程：Received 2 July 2021, Revised 19 October 2021, Accepted 8 November 2021, Available online 29 November 2021, Version of Record 29 November 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126795