AAA interpolation of equispaced data

TL;DR

The paper introduces AAA rational approximation as an effective method for interpolating smooth functions from equispaced data, often outperforming other techniques even with coarse sampling grids.

Contribution

It presents AAA rational approximation as a robust and accurate method for equispaced data interpolation, demonstrating superior performance over existing methods.

Findings

AAA method often yields more accurate approximations.

Performs well even with coarse sampling grids.

Outperforms other interpolation methods in most cases.

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.