English

Adaptive Thiele interpolation

Numerical Analysis 2023-09-07 v1 Numerical Analysis

Abstract

The current implementation of Thiele rational interpolation in Maple (the ThieleInterpolation routine) breaks down when the points are not well-ordered. In this article, it is shown how this breakdown can be avoided by ordering the interpolation points in an adaptive way.

Keywords

Cite

@article{arxiv.2303.10957,
  title  = {Adaptive Thiele interpolation},
  author = {Oliver Salazar Celis},
  journal= {arXiv preprint arXiv:2303.10957},
  year   = {2023}
}
R2 v1 2026-06-28T09:23:44.976Z