73 citations · 250 across the 39 of their papers we have counts for
3 papers · 2 filters
Tensor calculus in polar coordinates using Jacobi polynomials
Geoffrey M. Vasil, Keaton J. Burns, Daniel Lecoanet +3
Spectral methods are an efficient way to solve partial differential equations on domains possessing certain symmetries. The utility of a method depends strongly on the choice of sp…
Numerical Methods for the Discrete Map
Folkmar Bornemann, Alexander Its, Sheehan Olver +1
As a basic example in nonlinear theories of discrete complex analysis, we explore various numerical methods for the accurate evaluation of the discrete map introduced by Agaf…
A fast and well-conditioned spectral method for singular integral equations
Richard Mikael Slevinsky, Sheehan Olver
We develop a spectral method for solving univariate singular integral equations over unions of intervals by utilizing Chebyshev and ultraspherical polynomials to reformulate the eq…