By Associate Professor William McLean

Journal articles

Mclean W; Thomee V; Wahlbin LB, 1996, 'Discretization with variable time steps of an evoloution equation with a positive type memory term', Journal of Computational and Applied Mathematics, pp. 49 - 69

Mclean W; Sloan IH, 1994, 'A fully discrete and symmetric boundary element method', IMA Journal of Numerical Analysis, 14, pp. 311 - 345, http://dx.doi.org/10.1093/imanum/14.3.311

MCLEAN W, 1994, 'NUMERICAL EVALUATION OF SOME TRIGONOMETRIC SERIES', MATHEMATICS OF COMPUTATION, 63, pp. 271 - 275, http://dx.doi.org/10.2307/2153573

McLean W, 1994, 'Fully-discrete collocation methods for an integral equation of the first kind', Journal of Integral Equations and Applications, 6, pp. 537 - 571, http://dx.doi.org/10.1216/jiea/1181075835

McLEAN W, 1994, 'Numerical evaluation of some trigonometric series', Mathematics of Computation, 63, pp. 271 - 274, http://dx.doi.org/10.1090/S0025-5718-1994-1240661-6

MCLEAN W; THOMEE V, 1993, 'NUMERICAL-SOLUTION OF AN EVOLUTION EQUATION WITH A POSITIVE-TYPE MEMORY TERM', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 35, pp. 23 - 70, http://dx.doi.org/10.1017/S0334270000007268

McLean W; Prössdorf S; Wendland WL, 1993, 'A fully-discrete trigonometric collocation method', Journal of Integral Equations and Applications, 5, pp. 103 - 129, http://dx.doi.org/10.1216/jiea/1181075730

Costabel M; McLean W, 1992, 'Spline collocation for strongly elliptic equations on the torus', Numerische Mathematik, 62, pp. 511 - 538, http://dx.doi.org/10.1007/BF01396241

McLean W, 1991, 'Local and Global Descriptions of Periodic Pseudodifferential Operators', Mathematische Nachrichten, 150, pp. 151 - 161, http://dx.doi.org/10.1002/mana.19911500112

MCLEAN W, 1990, 'AN INTEGRAL-EQUATION METHOD FOR A PROBLEM WITH MIXED BOUNDARY-CONDITIONS', SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 21, pp. 917 - 934, http://dx.doi.org/10.1137/0521051

Mclean W, 1989, 'Asymptotic error expansions for numerical solutions of integral equations', IMA Journal of Numerical Analysis, 9, pp. 373 - 384, http://dx.doi.org/10.1093/imanum/9.3.373

McLean W; Prößdorf SB; Wendland WL, 1989, 'Pointwise error estimates for the trigonometric collocation method applied to singular integral equations and periodic Pseudodifferential equations', Journal of Integral Equations and Applications, 2, pp. 125 - 146, http://dx.doi.org/10.1216/JIE-1989-2-1-125

McLean W, 1988, 'Hölder estimates for the Cauchy integral on a Lipschitz contour', Journal of Integral Equations and Applications, 1, pp. 435 - 451, http://dx.doi.org/10.1216/JIE-1988-1-3-435

McLean W; Elliott D, 1988, 'On the p-norm of the truncated Hilbert transform', Bulletin of the Australian Mathematical Society, 38, pp. 413 - 420, http://dx.doi.org/10.1017/S0004972700027799

MCLEAN W, 1986, 'A SPECTRAL GALERKIN METHOD FOR A BOUNDARY INTEGRAL-EQUATION', MATHEMATICS OF COMPUTATION, 47, pp. 597 - 607, http://dx.doi.org/10.2307/2008175

McLean W, 1986, 'A spectral Galerkin method for a boundary integral equation', Mathematics of Computation, 47, pp. 597 - 607, http://dx.doi.org/10.1090/S0025-5718-1986-0856705-2

Conference Papers

wang K; Kampwerth H; McLean W, 2013, 'Time-resolved Photoluminescence of Silicon Wafers for Illumination Source with High Repetition Rate: Finite Element Solution', in Proceedings of the 28th European Photovoltaic Solar Energy Conference and Exhibition, Villepinte, Frankreich, pp. 1622 - 1626, presented at 28th European Photovoltaic Solar Energy Conference and Exhibition, Villepinte, Frankreich, 23 September 2013 - 26 September 2013, http://dx.doi.org/10.4229/28theupvsec2013-2cv.3.52

McLean W; Prossdorf S, 1995, 'Boundary element collocation methods with reduced inter-element smoothness', in Morino L; Wendland WL (ed.), IABEM SYMPOSIUM ON BOUNDARY INTEGRAL METHODS FOR NONLINEAR PROBLEMS, KLUWER ACADEMIC PUBL, ITALY, PONTIGNANO, pp. 155 - 160, presented at IABEM Symposium on Boundary Integral Methods for Nonlinear Problems, ITALY, PONTIGNANO, 28 May 1995 - 03 June 1995, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1997BJ28U00024&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

McLean W, 1984, 'EFFECT OF APPROXIMATING THE GEOMETRY FOR A SIMPLE BOUNDARY INTEGRAL EQUATION.', pp. 277 - 288

Patents

Kampwerth H; Wang KW; MCLEAN , 2015, A method and apparatus for testing the performance of a semiconductor material, Patent No. , Patent Agent:Griffithhack

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/10.48550/arxiv.2012.13860

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/10.48550/arxiv.1902.02564

McLean W; Mustapha K; Ali R; Knio OM, 2019, Regularity theory for time-fractional advection-diffusion-reaction equations, http://dx.doi.org/10.48550/arxiv.1902.00850

McLean W; Mustapha K; Ali R; Knio O, 2018, Well-posedness of time-fractional, advection-diffusion-reaction equations, http://dx.doi.org/10.48550/arxiv.1810.04836

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/10.48550/arxiv.1507.05706

McLean W; Mustapha K, 2014, Time-stepping error bounds for fractional diffusion problems with non-smooth initial data, http://dx.doi.org/10.48550/arxiv.1405.2140

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; 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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