113 Tobin Driscoll

Tobin Driscoll (University of Delaware, USA) // AAA for rational interpolation on continuua // Abstract:// The AAA algorithm of Nakatsukasa, Sète, and Trefethen has rapidly risen to prominence as a fast and powerful way to approximate functions in the complex plane. As originally presented, AAA incrementally constructs an approximation based on a fixed initial discretization, which is not ideal in cases where a good initial distribution of nodes may be difficult to discern. By also incrementally adding nodes from the domain based on the latest residual, the algorithm can be adapted to work well automatically even when singularities are very close to or even on the approximation interval. This capability has been released as a Julia software package, and another package is in development to use these approximations for computing conformal maps to simply- and doubly-connected domains.