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2020 – today
- 2024
[j21]Kassem Mustapha
, William McLean, Josef Dick:
An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation. J. Sci. Comput. 99(3): 87 (2024)- [i8]Kassem Mustapha, William McLean, Josef Dick:
An α-robust second-order accurate scheme for a subdiffusion equation. CoRR abs/2401.04946 (2024) - [i7]Josef Dick, Quoc Thong Le Gia, William McLean, Kassem Mustapha, T. Tran:
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. CoRR abs/2402.11545 (2024) - [i6]K. A. Mustapha, William McLean, Josef Dick, Quoc Thong Le Gia:
A Locking-free modified conforming FEM for planar elasticity. CoRR abs/2407.06831 (2024) - [i5]Josef Dick, Hecong Gao, William McLean, Kassem Mustapha:
Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values. CoRR abs/2409.00893 (2024) - 2023
- [j20]William McLean, Kassem Mustapha:
Error profile for discontinuous Galerkin time stepping of parabolic PDEs. Numer. Algorithms 93(1): 157-177 (2023) - 2022
- [j19]William McLean, Kassem Mustapha:
Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation. Numer. Algorithms 89(4): 1441-1463 (2022) - [i4]William McLean, Kassem Mustapha:
Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs. CoRR abs/2208.03846 (2022) - [i3]William McLean:
Numerical Evaluation of Mittag-Leffler Functions. CoRR abs/2208.03851 (2022) - 2021
- [j18]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: 82-83 (2021) - 2020
- [j17]William McLean, Kassem Mustapha, Raed Ali, Omar M. Knio:
Regularity theory for time-fractional advection-diffusion-reaction equations. Comput. Math. Appl. 79(4): 947-961 (2020) - [i2]William McLean:
Implementation of high-order, discontinuous Galerkin time stepping for fractional diffusion problems. CoRR abs/2003.09805 (2020) - [i1]William McLean, Kassem Mustapha:
Uniform stability for a spatially-discrete, subdiffusive Fokker-Planck equation. CoRR abs/2012.13860 (2020)
2010 – 2019
- 2019
- [j16]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): 218-237 (2019) - 2018
- [j15]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): A3831-A3852 (2018) - 2017
- [j14]Shev MacNamara, Bruce Ian Henry, William McLean:
Fractional Euler Limits and their Applications. SIAM J. Appl. Math. 77(2): 447-469 (2017) - 2016
- [j13]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): 1763-1784 (2016) - 2015
- [j12]William McLean, Kassem Mustapha:
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data. J. Comput. Phys. 293: 201-217 (2015) - 2014
- [j11]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): 353-375 (2014) - 2013
- [j10]Kassem Mustapha, William McLean:
Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations. SIAM J. Numer. Anal. 51(1): 491-515 (2013) - 2012
- [j9]William McLean:
Fast Summation by Interval Clustering for an Evolution Equation with Memory. SIAM J. Sci. Comput. 34(6) (2012) - 2011
- [j8]Kassem Mustapha, William McLean:
Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. Numer. Algorithms 56(2): 159-184 (2011)
2000 – 2009
- 2009
- [j7]Kassem Mustapha, William McLean:
Discontinuous Galerkin method for an evolution equation with a memory term of positive type. Math. Comput. 78(268): 1975-1995 (2009) - [j6]William McLean, Kassem Mustapha:
Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. Numer. Algorithms 52(1): 69-88 (2009) - 2007
- [j5]William McLean, Kassem Mustapha:
A second-order accurate numerical method for a fractional wave equation. Numerische Mathematik 105(3): 481-510 (2007) - 2006
- [j4]William McLean, Ian H. Sloan, Vidar Thomée:
Time discretization via Laplace transformation of an integro-differential equation of parabolic type. Numerische Mathematik 102(3): 497-522 (2006) - [j3]Ivan G. Graham, William McLean:
Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners. SIAM J. Numer. Anal. 44(4): 1487-1513 (2006) - 2003
- [j2]Youngmok Jeon, William McLean:
A New Boundary Element Method for the Biharmonic Equation with Dirichlet Boundary Conditions. Adv. Comput. Math. 19(4): 339-354 (2003) - [j1]Mark Ainsworth, William McLean:
Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes. Numerische Mathematik 93(3): 387-413 (2003)
Coauthor Index
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