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math.NA2023
The first five years of the AAA algorithm
Yuji Nakatsukasa, Olivier Sete, Lloyd N. Trefethen
The AAA algorithm, introduced in 2018, computes best or near-best rational approximations to functions or data on subsets of the real line or the complex plane. It is much faster a…
math.NA2023
Stochastic Galerkin method and port-Hamiltonian form for linear first-order ordinary differential equations
Roland Pulch, Olivier Sète
We consider linear first-order systems of ordinary differential equations (ODEs) in port-Hamiltonian (pH) form. Physical parameters are remodelled as random variables to conduct an…
math.CV2023
Walsh's Conformal Map onto Lemniscatic Domains for Polynomial Pre-images II
Klaus Schiefermayr, Olivier Sète
We consider Walsh's conformal map from the exterior of a set consisting of compact disjoint components onto a lemniscatic domain. In particular, w…