Showing math.NAShow all
2 papers · 1 filter
math.NA2024
Polynomial and rational interpolation: potential, barycentric weights, and Lebesgue constants
Kelong Zhao, Shuhuang Xiang
In this paper, we focus on barycentric weights and Lebesgue constants for Lagrange interpolation of arbitrary node distributions on \([-1,1]\). The following three main works are i…
math.NA2023
Barycentric Interpolation Based on Equilibrium Potential
Kelong Zhao, shuhuang Xiang
We present a novel barycentric interpolation algorithm designed for analytic functions defined on the complex plane. The algorithm, which encompasses both poly…