73 citations · 250 across the 39 of their papers we have counts for
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math.NA2013★ 1 cited
A Riemann--Hilbert approach to Jacobi operators and Gaussian quadrature
Thomas Trogdon, Sheehan Olver
The computation of the entries of Jacobi operators associated with orthogonal polynomials has important applications in numerical analysis. From truncating the operator to form a J…
math.CV2013
Change of variable formulæ for regularizing slowly decaying and oscillatory Cauchy and Hilbert transforms
Sheehan Olver
Formulæ are derived for expressing Cauchy and Hilbert transforms of a function in terms of Cauchy and Hilbert transforms of . When is an integer, this corresponds t…
math.NA2013★ 33 cited
Fast inverse transform sampling in one and two dimensions
Sheehan Olver, Alex Townsend
We develop a computationally efficient and robust algorithm for generating pseudo-random samples from a broad class of smooth probability distributions in one and two dimensions. T…