Select Publications

Books

Mclean W, 2000, Strongly elliptic systems and boundary integral equations, Original, Cambridge University Press, UK

Journal articles

McLean W, 2018, 'Exponential sum approximations for t', Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pp. 911 - 930, http://dx.doi.org/10.1007/978-3-319-72456-0_40

Macnamara S;Henry B;McLean W, 2017, 'Fractional euler limits and their applications', SIAM Journal on Applied Mathematics, vol. 77, pp. 447 - 469, http://dx.doi.org/10.1137/16M1091861

Le KN;McLean W;Lamichhane B, 2017, 'FINITE ELEMENT APPROXIMATION of A TIME-FRACTIONAL DIFFUSION PROBLEM for A DOMAIN with A RE-ENTRANT CORNER', ANZIAM Journal, vol. 59, pp. 61 - 82, http://dx.doi.org/10.1017/S1446181116000365

Le KN;McLean W;Mustapha K, 2016, 'Numerical solution of the time-fractional Fokker-Planck equation with general forcing', SIAM Journal on Numerical Analysis, vol. 54, pp. 1763 - 1784, http://dx.doi.org/10.1137/15M1031734

McLean W;Mustapha K, 2015, 'Time-stepping error bounds for fractional diffusion problems with non-smooth initial data', Journal of Computational Physics, vol. 293, pp. 201 - 217, http://dx.doi.org/10.1016/j.jcp.2014.08.050

Le Gia QT;McLean W, 2014, 'Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions', Advances in Computational Mathematics, vol. 40, pp. 353 - 375, http://dx.doi.org/10.1007/s10444-013-9311-6

Kim IS;McLean W, 2013, 'Computing the hausdorff distance between two sets of parametric curves', Communications of the Korean Mathematical Society, vol. 28, pp. 833 - 850, http://dx.doi.org/10.4134/CKMS.2013.28.4.833

Wang K;McLean W;Kampwerth H, 2013, 'Transient photoluminescence from silicon wafers: Finite element analysis', Journal of Applied Physics, vol. 114, http://dx.doi.org/10.1063/1.4826896

Mustapha K;McLean W, 2013, 'Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations', SIAM Journal on Numerical Analysis, vol. 51, pp. 491 - 515, http://dx.doi.org/10.1137/120880719

Mustapha K;McLean W, 2012, 'Uniform convergence for a discontinuous Galerkin, time-stepping method applied to a fractional diffusion equation', IMA Journal of Numerical Analysis, vol. 32, pp. 906 - 925, http://dx.doi.org/10.1093/imanum/drr027

McLean W, 2012, 'Fast summation by interval clustering for an evolution equation with memory', SIAM Journal on Scientific Computing, vol. 34, http://dx.doi.org/10.1137/120870505

Mustapha K;McLean W, 2011, 'Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation', Numerical Algorithms, vol. 56, pp. 159 - 184, http://dx.doi.org/10.1007/s11075-010-9379-8

Mclean W;Thomée V, 2011, 'Iterative solution of shifted positive-definite linear systems arising in a numerical method for the heat equation based on laplace transformation and quadrature', ANZIAM Journal, vol. 53, pp. 134 - 155, http://dx.doi.org/10.1017/S1446181112000107

McLean W, 2011, 'Regularity of solutions to a time-fractional diffusion equation', ANZIAM Journal, vol. 52, pp. 123 - 138, http://dx.doi.org/10.1017/S1446181111000617

McLean W;Thomee V, 2010, 'Numerical solution via laplace transforms of a fractional order evolution equation', Journal of Integral Equations and Applications, vol. 22, pp. 57 - 94, http://dx.doi.org/10.1216/JIE-2010-22-1-57

McLean W;Thomée V, 2010, 'Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation', IMA Journal of Numerical Analysis, vol. 30, pp. 208 - 230, http://dx.doi.org/10.1093/imanum/drp004

McLean W;Mustapha K, 2009, 'Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation', Numerical Algorithms, vol. 52, pp. 69 - 88, http://dx.doi.org/10.1007/s11075-008-9258-8

Mustapha K;McLean W, 2009, 'Discontinuous galerkin method for an evolution equation with a memory term of positive type', Mathematics of Computation, vol. 78, pp. 1975 - 1995, http://dx.doi.org/10.1090/S0025-5718-09-02234-0

McLean W;Mustapha K, 2007, 'A second-order accurate numerical method for a fractional wave equation', Numerische Mathematik, vol. 105, pp. 481 - 510, http://dx.doi.org/10.1007/s00211-006-0045-y

McLean W;Sloan IH;Thomée V, 2006, 'Time discretization via Laplace transformation of an integro-differential equation of parabolic type', Numerische Mathematik, vol. 102, pp. 497 - 522, http://dx.doi.org/10.1007/s00211-005-0657-7

Graham IG;McLean W, 2006, 'Anisotropic mesh refinement: The conditioning of Galerkin boundary element matrices and simple preconditioners', SIAM Journal on Numerical Analysis, vol. 44, pp. 1487 - 1513, http://dx.doi.org/10.1137/040621247

McLean W;Thomée V, 2004, 'Time discretization of an evolution equation via Laplace transforms', IMA Journal of Numerical Analysis, vol. 24, pp. 439 - 463, http://dx.doi.org/10.1093/imanum/24.3.439

Ainsworth M;McLean W, 2003, 'Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes', Numerische Mathematik, vol. 93, pp. 387 - 413, http://dx.doi.org/10.1007/s002110100391

Jeon Y;McLean W, 2003, 'A new boundary element method for the biharmonic equation with Dirichlet boundary conditions', Advances in Computational Mathematics, vol. 19, pp. 339 - 354, http://dx.doi.org/10.1023/A:1024206232212

Ainsworth M;Mclean B;Tran T, 2000, 'Diagonal scaling of stiffness matrices in the galerkin boundary element method', ANZIAM Journal, vol. 42, pp. 141 - 150

McLean W;Steinbach O, 1999, 'Boundary element preconditioners for a hypersingular integral equation on an interval', Advances in Computational Mathematics, vol. 11, pp. 271 - 286, http://dx.doi.org/10.1023/A:1018944530343

Ainsworth M;Mclean W;Tran T, 1999, 'The conditioning of boundary element equations on locally refined meshes and preconditioning by diagonal scaling', SIAM Journal on Numerical Analysis, vol. 36, pp. 1901 - 1932, http://dx.doi.org/10.1137/S0036142997330809

McLean W;Thomée V, 1997, 'Asymptotic behaviour of numerical solutions of an evolution equation with memory', Asymptotic Analysis, vol. 14, pp. 257 - 276

McLean W;Tran T, 1997, 'A Preconditioning Strategy for Boundary Element Galerkin Methods', Numerical Methods for Partial Differential Equations, vol. 13, pp. 283 - 301, http://dx.doi.org/10.1002/(SICI)1098-2426(199705)13:3<283::AID-NUM4>3.0.CO;2-J

McLean W;Thomée V;Wahlbin LB, 1996, 'Discretization with variable time steps of an evolution equation with a positive-type memory term', Journal of Computational and Applied Mathematics, vol. 69, pp. 49 - 69, http://dx.doi.org/10.1016/0377-0427(95)00025-9

McLean W;Prößdorf SB, 1996, 'Boundary element collocation methods using splines with multiple knots', Numerische Mathematik, vol. 74, pp. 419 - 451, http://dx.doi.org/10.1007/s002110050224

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

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

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

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

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

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, vol. 35, pp. 23 - 70, http://dx.doi.org/10.1017/S0334270000007268

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

McLean W, 1991, 'Local and Global Descriptions of Periodic Pseudodifferential Operators', Mathematische Nachrichten, vol. 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, vol. 21, pp. 917 - 934, http://dx.doi.org/10.1137/0521051

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, vol. 2, pp. 125 - 146, http://dx.doi.org/10.1216/JIE-1989-2-1-125

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

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

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

MCLEAN W, 1986, 'A SPECTRAL GALERKIN METHOD FOR A BOUNDARY INTEGRAL-EQUATION', MATHEMATICS OF COMPUTATION, vol. 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, vol. 47, pp. 597 - 607, http://dx.doi.org/10.1090/S0025-5718-1986-0856705-2

McLean W;Mustapha K;Ali R;Knio O, 'Well-posedness and regularity of time-fractional, advection-diffusion-reaction equations', Well-posedness and regularity of time-fractional, advection-diffusion-reaction equations, http://arxiv.org/abs/1810.04836v1

Le KN;McLean W;Lamichhane B, 'Finite element approximation of a time-fractional diffusion problem in a non-convex polygonal domain', ANZIAM J. 59(2017), 61-82, http://dx.doi.org/10.1017/S1446181116000365

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, 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 - 26 September 2013, http://dx.doi.org/10.4229/28thEUPVSEC2013-2CV.3.52


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