73 citations · 398 across the 44 of their papers we have counts for
4 papers · 2 filters
Computing with functions in the ball
Nicolas Boullé, Alex Townsend
A collection of algorithms in object-oriented MATLAB is described for numerically computing with smooth functions defined on the unit ball in the Chebfun software. Functions are nu…
A sparse spectral method on triangles
Sheehan Olver, Alex Townsend, Geoff Vasil
In this paper, we demonstrate that many of the computational tools for univariate orthogonal polynomials have analogues for a family of bivariate orthogonal polynomials on the tria…
Error localization of best L1 polynomial approximants
Yuji Nakatsukasa, Alex Townsend
An important observation in compressed sensing is that the minimizer of an underdetermined linear system is equal to the minimizer when there exists a sparse solu…
FEAST for differential eigenvalue problems
Andrew Horning, Alex Townsend
An operator analogue of the FEAST matrix eigensolver is developed to compute the discrete part of the spectrum of a differential operator in a region of interest in the complex pla…