On the Quadrature of Multivariate Highly Oscillatory Integrals Over Non-polytope Domains. - Sheehan Olver (Numerische Mathematik, 2006)

On the convergence rate of a modified Fourier series. - Sheehan Olver (Math. Comput., 2009)

GMRES for the Differentiation Operator. - Sheehan Olver (SIAM J. Numer. Anal., 2009)

Shifted GMRES for oscillatory integrals. - Sheehan Olver (Numerische Mathematik, 2010)

Numerical Solution of Riemann-Hilbert Problems: Painlevé II. - Sheehan Olver (Found. Comput. Math., 2011)

Erratum to: Numerical Solution of Riemann-Hilbert Problems: Painlevé II. - Sheehan Olver (Found. Comput. Math., 2011)

Computation of equilibrium measures. - Sheehan Olver (J. Approx. Theory, 2011)

Computing the Hilbert transform and its inverse. - Sheehan Olver (Math. Comput., 2011)

Superinterpolation in Highly Oscillatory Quadrature. - Daan Huybrechs; Sheehan Olver (Found. Comput. Math., 2012)

A general framework for solving Riemann-Hilbert problems numerically. - Sheehan Olver (Numerische Mathematik, 2012)

A Fast and Well-Conditioned Spectral Method. - Sheehan Olver; Alex Townsend (SIAM Rev., 2013)

A practical framework for infinite-dimensional linear algebra. - Sheehan Olver; Alex Townsend (HPTCDL@SC, 2014)

The automatic solution of partial differential equations using a global spectral method. - Alex Townsend; Sheehan Olver (J. Comput. Phys., 2015)

On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods. - Richard Mikaël Slevinsky; Sheehan Olver (SIAM J. Sci. Comput., 2015)

Tensor calculus in polar coordinates using Jacobi polynomials. - Geoffrey M. Vasil; Keaton J. Burns; Daniel Lecoanet; Sheehan Olver; Benjamin P. Brown; Jeffrey S. Oishi (J. Comput. Phys., 2016)

A fast and well-conditioned spectral method for singular integral equations. - Richard Mikaël Slevinsky; Sheehan Olver (J. Comput. Phys., 2017)

Numerical methods for the computation of the confluent and Gauss hypergeometric functions. - John W. Pearson; Sheehan Olver; Mason A. Porter (Numer. Algorithms, 2017)

Fast polynomial transforms based on Toeplitz and Hankel matrices. - Alex Townsend; Marcus Webb; Sheehan Olver (Math. Comput., 2018)

A Fast and Spectrally Convergent Algorithm for Rational-Order Fractional Integral and Differential Equations. - Nicholas Hale; Sheehan Olver (SIAM J. Sci. Comput., 2018)

Sparse spectral and p-finite element methods for partial differential equations on disk slices and trapeziums. - Ben Snowball; Sheehan Olver (CoRR, 2019)

Orthogonal Structure on a Wedge and on the Boundary of a Square. - Sheehan Olver; Yuan Xu 005 (Found. Comput. Math., 2019)

A Sparse Spectral Method on Triangles. - Sheehan Olver; Alex Townsend; Geoffrey M. Vasil (SIAM J. Sci. Comput., 2019)

Fast algorithms using orthogonal polynomials. - Sheehan Olver; Richard Mikaël Slevinsky; Alex Townsend (Acta Numer., 2020)

Sparse spectral methods for partial differential equations on spherical caps. - Ben Snowball; Sheehan Olver (CoRR, 2020)

Orthogonal polynomials in and on a quadratic surface of revolution. - Sheehan Olver; Yuan Xu (Math. Comput., 2020)

A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle. - Timon S. Gutleb; Sheehan Olver (SIAM J. Numer. Anal., 2020)

Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension. - Timon S. Gutleb; José A. Carrillo 001; Sheehan Olver (CoRR, 2021)

A sparse spectral method for fractional differential equations in one-spacial dimension. - Ioannis P. A. Papadopoulos; Sheehan Olver (CoRR, 2022)

Orthogonal polynomials on a class of planar algebraic curves. - Marco Fasondini; Sheehan Olver; Yuan Xu (CoRR, 2022)

Representations of the symmetric group are decomposable in polynomial time. - Sheehan Olver (CoRR, 2022)

Computing equilibrium measures with power law kernels. - Timon S. Gutleb; José A. Carrillo 001; Sheehan Olver (Math. Comput., 2022)

Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations. - Timon S. Gutleb; Sheehan Olver; Richard Mikaël Slevinsky (CoRR, 2023)

A frame approach for equations involving the fractional Laplacian. - Ioannis P. A. Papadopoulos; Timon S. Gutleb; José A. Carrillo 001; Sheehan Olver (CoRR, 2023)

Orthogonal Polynomials on Planar Cubic Curves. - Marco Fasondini; Sheehan Olver; Yuan Xu (Found. Comput. Math., 2023)

Quasi-optimal complexity hp-FEM for Poisson on a rectangle. - Kars Knook; Sheehan Olver; Ioannis P. A. Papadopoulos (CoRR, 2024)

Computing Inverses of Stieltjes Transforms of Probability Measures. - James Chen; Sheehan Olver (CoRR, 2024)

Parallelisation of partial differential equations via representation theory. - Sheehan Olver (CoRR, 2024)

Building Hierarchies of Semiclassical Jacobi Polynomials for Spectral Methods in Annuli. - Ioannis P. A. Papadopoulos; Timon S. Gutleb; Richard M. Slevinsky; Sheehan Olver (SIAM J. Sci. Comput., 2024)

A sparse spectral method for fractional differential equations in one-spatial dimension. - Ioannis P. A. Papadopoulos; Sheehan Olver (Adv. Comput. Math., 2024)

A sparse hp-finite element method for piecewise-smooth differential equations with periodic boundary conditions. - Daniel J. Vandenheuvel; Sheehan Olver (CoRR, 2025)

Newtonian potentials of Legendre polynomials on rectangles have displacement structure. - Sheehan Olver (CoRR, 2025)

A Sparse Hierarchical hp-Finite Element Method on Disks and Annuli. - Ioannis P. A. Papadopoulos; Sheehan Olver (J. Sci. Comput., 2025)