By Associate Professor William McLean

Preprints

Dick J; Gao H; McLean W; Mustapha K, 2024, Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values, http://dx.doi.org/10.48550/arxiv.2409.00893

Mustapha K; McLean W; Dick J, 2024, An $\alpha$-robust and second-order accurate scheme for a subdiffusion equation, http://dx.doi.org/10.48550/arxiv.2401.04946

McLean W; Mustapha K, 2022, Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs, http://arxiv.org/abs/2208.03846v2

McLean W, 2022, Numerical Evaluation of Mittag-Leffler Functions, http://dx.doi.org/10.1007/s10092-021-00398-6

McLean W; Mustapha K, 2020, Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation, http://dx.doi.org/10.1007/s11075-021-01160-3

McLean W, 2020, Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems, http://dx.doi.org/10.48550/arxiv.2003.09805

Le KN; McLean W; Mustapha K, 2019, A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial data, http://dx.doi.org/10.48550/arxiv.1902.03204

Le K-N; McLean W; Stynes M, 2019, Existence, uniqueness and regularity of the solution of the time-fractional Fokker-Planck equation with general forcing, http://dx.doi.org/10.3934/cpaa.2019124

McLean W; Mustapha K; Ali R; Knio OM, 2019, Regularity theory for time-fractional advection-diffusion-reaction equations, http://dx.doi.org/10.1016/j.camwa.2019.08.008

McLean W; Mustapha K; Ali R; Knio O, 2018, Well-posedness of time-fractional, advection-diffusion-reaction equations, http://dx.doi.org/10.1515/fca-2019-0050

Liao H-L; McLean W; Zhang J, 2018, A discrete Grönwall inequality with application to numerical schemes for subdiffusion problems, http://dx.doi.org/10.1137/16M1175742

Liao H-L; McLean W; Zhang J, 2018, A second-order scheme with nonuniform time steps for a linear reaction-sudiffusion problem, http://dx.doi.org/10.4208/cicp.OA-2020-0124

MacNamara S; McLean W; Burrage K, 2017, Wider contours and adaptive contours, http://dx.doi.org/10.48550/arxiv.1712.06893

McLean W, 2016, Exponential sum approximations for $t^{-β}$, http://dx.doi.org/10.1007/978-3-319-72456-0_40

Le KN; McLean W; Lamichhane B, 2016, Finite element approximation of a time-fractional diffusion problem in a non-convex polygonal domain, http://dx.doi.org/10.48550/arxiv.1602.00040

Le KN; McLean W; Mustapha K, 2015, Numerical solution of the time-fractional Fokker-Planck equation with general forcing, http://dx.doi.org/10.1137/15M1031734

McLean W; Mustapha K, 2014, Time-stepping error bounds for fractional diffusion problems with non-smooth initial data, http://dx.doi.org/10.1016/j.jcp.2014.08.050

Gia QTL; McLean W, 2012, Solving parabolic equations on the unit sphere via Laplace transforms and radial basis functions, http://dx.doi.org/10.48550/arxiv.1207.4845

Mustapha K; McLean W, 2012, Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations, http://dx.doi.org/10.48550/arxiv.1206.2686

McLean W, 2012, Fast summation by interval clustering for an evolution equation with memory, http://dx.doi.org/10.48550/arxiv.1203.4032

McLean W; Thomée V, 2011, Iterative methods for shifted positive definite linear systems and time discretization of the heat equation, http://dx.doi.org/10.48550/arxiv.1111.5105

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