William McLean

Orcid: 0000-0002-7133-2884

According to our database1, William McLean authored at least 27 papers between 2003 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation.
J. Sci. Comput., June, 2024

Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values.
CoRR, 2024

A Locking-free modified conforming FEM for planar elasticity.
CoRR, 2024

High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations.
CoRR, 2024

An α-robust second-order accurate scheme for a subdiffusion equation.
CoRR, 2024

2023
Error profile for discontinuous Galerkin time stepping of parabolic PDEs.
Numer. Algorithms, May, 2023

2022
Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation.
Numer. Algorithms, 2022

Numerical Evaluation of Mittag-Leffler Functions.
CoRR, 2022

2021
Erratum to "Regularity theory for time-fractional advection-diffusion-reaction equations" [Comput. Math. Appl. 79 (2020) 947-961].
Comput. Math. Appl., 2021

2020
Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems.
CoRR, 2020

Regularity theory for time-fractional advection-diffusion-reaction equations.
Comput. Math. Appl., 2020

2019
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems.
SIAM J. Numer. Anal., 2019

2018
A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker-Planck Equation with NonSmooth Initial Data.
SIAM J. Sci. Comput., 2018

2017
Fractional Euler Limits and their Applications.
SIAM J. Appl. Math., 2017

2016
Numerical Solution of the Time-Fractional Fokker-Planck Equation with General Forcing.
SIAM J. Numer. Anal., 2016

2015
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data.
J. Comput. Phys., 2015

2014
Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions.
Adv. Comput. Math., 2014

2013
Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations.
SIAM J. Numer. Anal., 2013

2012
Fast Summation by Interval Clustering for an Evolution Equation with Memory.
SIAM J. Sci. Comput., 2012

2011
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation.
Numer. Algorithms, 2011

2009
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation.
Numer. Algorithms, 2009

Discontinuous Galerkin method for an evolution equation with a memory term of positive type.
Math. Comput., 2009

2007
A second-order accurate numerical method for a fractional wave equation.
Numerische Mathematik, 2007

2006
Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners.
SIAM J. Numer. Anal., 2006

Time discretization via Laplace transformation of an integro-differential equation of parabolic type.
Numerische Mathematik, 2006

2003
Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes.
Numerische Mathematik, 2003

A New Boundary Element Method for the Biharmonic Equation with Dirichlet Boundary Conditions.
Adv. Comput. Math., 2003


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