401 citations · 571 across the 24 of their papers we have counts for
7 papers · 1 filter
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…
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…
The Helmholtz equation with uncertainties in the wavenumber
Roland Pulch, Olivier Sète
We investigate the Helmholtz equation with suitable boundary conditions and uncertainties in the wavenumber. Thus the wavenumber is modeled as a random variable or a random field.…
Computing the logarithmic capacity of compact sets having (infinitely) many components with the Charge Simulation Method
Jörg Liesen, Mohamed M. S. Nasser, Olivier Sète
We apply the Charge Simulation Method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many "small" components. This application allows…
The transport of images method: computing all zeros of harmonic mappings by continuation
Olivier Sète, Jan Zur
We present a continuation method to compute all zeros of a harmonic mapping in the complex plane. Our method works without any prior knowledge of the number of zeros or their a…
The AAA algorithm for rational approximation
Yuji Nakatsukasa, Olivier Sète, Lloyd N. Trefethen
We introduce a new algorithm for approximation by rational functions on a real or complex set of points, implementable in 40 lines of Matlab and requiring no user input parameters.…
Fast and accurate computation of the logarithmic capacity of compact sets
Jörg Liesen, Olivier Sète, Mohamed M. S. Nasser
We present a numerical method for computing the logarithmic capacity of compact subsets of , which are bounded by Jordan curves and have finitely connected complement.…