73 citations · 250 across the 39 of their papers we have counts for
7 papers · 1 filter
Fast computation of Gauss quadrature nodes and weights on the whole real line
Alex Townsend, Thomas Trogdon, Sheehan Olver
A fast and accurate algorithm for the computation of Gauss-Hermite and generalized Gauss-Hermite quadrature nodes and weights is presented. The algorithm is based on Newton's metho…
A practical framework for infinite-dimensional linear algebra
Sheehan Olver, Alex Townsend
We describe a framework for solving a broad class of infinite-dimensional linear equations, consisting of almost banded operators, which can be used to resepresent linear ordinary…
The automatic solution of partial differential equations using a global spectral method
Alex Townsend, Sheehan Olver
A spectral method for solving linear partial differential equations (PDEs) with variable coefficients and general boundary conditions defined on rectangular domains is described, b…
Universality in Numerical Computations with Random Data. Case Studies
Percy Deift, Govind Menon, Sheehan Olver +1
The authors present evidence for universality in numerical computations with random data. Given a (possibly stochastic) numerical algorithm with random input data, the time (or num…
Numerical Methods for the Computation of the Confluent and Gauss Hypergeometric Functions
John W. Pearson, Sheehan Olver, Mason A. Porter
The two most commonly used hypergeometric functions are the confluent hypergeometric function and the Gauss hypergeometric function. We review the available techniques for accurate…
On the use of conformal maps for the acceleration of convergence of the trapezoidal rule and Sinc numerical methods
Richard Mikael Slevinsky, Sheehan Olver
We investigate the use of conformal maps for the acceleration of convergence of the trapezoidal rule and Sinc numerical methods. The conformal map is a polynomial adjustment to the…