William McLean

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 16

Top Topics

Digital Image Watermarking Scheme

Fine Granularity

Radial Basis Function

Top Venues

SIAM J. Numer. Anal.

Comput. Math. Appl.

Numer. Algorithms

Publications

Kassem Mustapha, William McLean, Josef Dick
An α-robust second-order accurate scheme for a subdiffusion equation. CoRR (2024)
Kassem Mustapha, William McLean, Josef Dick
An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation. J. Sci. Comput. 99 (3) (2024)
Josef Dick, T. Le Gia, William McLean, Kassem Mustapha, T. Tran
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. CoRR (2024)
K. A. Mustapha, William McLean, Josef Dick, Quoc Thong Le Gia
A Locking-free modified conforming FEM for planar elasticity. CoRR (2024)
William McLean, Kassem Mustapha
Error profile for discontinuous Galerkin time stepping of parabolic PDEs. Numer. Algorithms 93 (1) (2023)
William McLean, Kassem Mustapha
Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs. CoRR (2022)
William McLean, Kassem Mustapha
Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation. Numer. Algorithms 89 (4) (2022)
William McLean
Numerical Evaluation of Mittag-Leffler Functions. CoRR (2022)
William McLean, Kassem Mustapha, Raed Ali, Omar M. Knio
Erratum to "Regularity theory for time-fractional advection-diffusion-reaction equations" [Comput. Math. Appl. 79 (2020) 947-961]. Comput. Math. Appl. 85 (2021)
William McLean, Kassem Mustapha, Raed Ali, Omar M. Knio
Regularity theory for time-fractional advection-diffusion-reaction equations. Comput. Math. Appl. 79 (4) (2020)
William McLean, Kassem Mustapha
Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation. CoRR (2020)
William McLean
Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems. CoRR (2020)
Hong-lin Liao, William McLean, Jiwei Zhang
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems. SIAM J. Numer. Anal. 57 (1) (2019)
Kim Ngan Le, William McLean, Kassem Mustapha
A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker-Planck Equation with NonSmooth Initial Data. SIAM J. Sci. Comput. 40 (6) (2018)
Shev MacNamara, Bruce Ian Henry, William McLean
Fractional Euler Limits and their Applications. SIAM J. Appl. Math. 77 (2) (2017)
Kim Ngan Le, William McLean, Kassem Mustapha
Numerical Solution of the Time-Fractional Fokker-Planck Equation with General Forcing. SIAM J. Numer. Anal. 54 (3) (2016)
William McLean, Kassem Mustapha
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data. J. Comput. Phys. 293 (2015)
Quoc Thong Le Gia, William McLean
Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions. Adv. Comput. Math. 40 (2) (2014)
Kassem Mustapha, William McLean
Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations. SIAM J. Numer. Anal. 51 (1) (2013)
William McLean
Fast Summation by Interval Clustering for an Evolution Equation with Memory. SIAM J. Sci. Comput. 34 (6) (2012)
Kassem Mustapha, William McLean
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Numer. Algorithms 56 (2) (2011)
Kassem Mustapha, William McLean
Discontinuous Galerkin method for an evolution equation with a memory term of positive type. Math. Comput. 78 (268) (2009)
William McLean, Kassem Mustapha
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Numer. Algorithms 52 (1) (2009)
William McLean, Kassem Mustapha
A second-order accurate numerical method for a fractional wave equation. Numerische Mathematik 105 (3) (2007)
Ivan G. Graham, William McLean
Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners. SIAM J. Numer. Anal. 44 (4) (2006)
William McLean, Ian H. Sloan, Vidar Thomée
Time discretization via Laplace transformation of an integro-differential equation of parabolic type. Numerische Mathematik 102 (3) (2006)
Mark Ainsworth, William McLean
Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes. Numerische Mathematik 93 (3) (2003)
Youngmok Jeon, William McLean
A New Boundary Element Method for the Biharmonic Equation with Dirichlet Boundary Conditions. Adv. Comput. Math. 19 (4) (2003)