73 citations · 398 across the 44 of their papers we have counts for
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math.NA2014★ 1 cited
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…
math.NA2014★ 1 cited
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…
math.NA2014★ 73 cited
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…