W. McLean

activity

20112022

most citedA discrete Grönwall inequality with application to numerical schemes for subdiffusion problems

376 citations · 1.1k across the 19 of their papers we have counts for

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Showing 2012 · math.NAShow all

3 papers · 2 filters

math.NA2012★ 13 cited

Solving parabolic equations on the unit sphere via Laplace transforms and radial basis functions

Q. T. Le Gia, William McLean

We propose a method to construct numerical solutions of parabolic equations on the unit sphere. The time discretization uses Laplace transforms and quadrature. The spatial approxim…

math.NA2012★ 168 cited

Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations

Kassem Mustapha, William McLean

We consider an initial-boundary value problem for $\partial_{t} u - \partial_{t}^{- α} \nabla^{2} u = f (t)$ , that is, for a fractional diffusion ( $- 1 < α < 0$ ) or wave ( $0 < α < 1$ ) equation. A numerica…

math.NA2012★ 55 cited

Fast summation by interval clustering for an evolution equation with memory

William McLean

We solve a fractional diffusion equation using a piecewise-constant, discontinuous Galerkin method in time combined with a continuous, piecewise-linear finite element method in spa…