English

AAA interpolation of equispaced data

Numerical Analysis 2022-07-26 v1 Numerical Analysis

Abstract

We propose AAA rational approximation as a method for interpolating or approximating smooth functions from equispaced data samples. Although it is always better to approximate from large numbers of samples if they are available, whether equispaced or not, this method often performs impressively even when the sampling grid is fairly coarse. In most cases it gives more accurate approximations than other methods.

Keywords

Cite

@article{arxiv.2207.11807,
  title  = {AAA interpolation of equispaced data},
  author = {Daan Huybrechs and Lloyd N. Trefethen},
  journal= {arXiv preprint arXiv:2207.11807},
  year   = {2022}
}
R2 v1 2026-06-25T01:11:04.904Z