7 citations · 13 across the 11 of their papers we have counts for
4 papers · 2 filters
Parallelisation of partial differential equations via representation theory
Sheehan Olver
Incorporating symmetries into the numerical solution of differential equations has been a mainstay of research over the last 40 years, however, one aspect is less known and under-u…
Computing Inverses of Stieltjes Transforms of Probability Measures
James Chen, Sheehan Olver
The Stieltjes (or sometimes called the Cauchy) transform is a fundamental object associated with probability measures, corresponding to the generating function of the moments. In c…
A sparse hierarchical -finite element method on disks and annuli
Ioannis P. A. Papadopoulos, Sheehan Olver
We develop a sparse hierarchical -finite element method (-FEM) for the Helmholtz equation with variable coefficients posed on a two-dimensional disk or annulus. The mesh is…
Quasi-optimal complexity -FEM for the Poisson Equation on a rectangle
Kars Knook, Sheehan Olver, Ioannis P. A. Papadopoulos
We show, in one dimension, that an -Finite Element Method (-FEM) discretisation can be solved in optimal complexity because the discretisation has a special sparsity struct…