ORCID as entered in ROS

Select Publications
2000, Strongly elliptic systems and boundary integral equations, Cambridge University Press, UK
,2019, 'Wider Contours and Adaptive Contours', in 2017 MATRIX Annals, pp. 79 - 98, http://dx.doi.org/10.1007/978-3-030-04161-8_7
,2018, 'Exponential sum approximations for t−β', in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, Springer, pp. 911 - 930, http://dx.doi.org/10.1007/978-3-319-72456-0_40
,1989, 'Trigonometric Approximation of Solutions of Periodic Pseudodifferential Equations', in The Gohberg Anniversary Collection, Birkhäuser Basel, pp. 359 - 383, http://dx.doi.org/10.1007/978-3-0348-9278-0_20
,1989, 'Trigonometric Approximation of Solutions of Periodic Pseudodifferential Equations', in The Gohberg Anniversary Collection, Birkhäuser Basel, pp. 851 - 875, http://dx.doi.org/10.1007/978-3-0348-9144-8_37
,2024, 'An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation', Journal of Scientific Computing, 99, http://dx.doi.org/10.1007/s10915-024-02554-w
,2023, 'Error profile for discontinuous Galerkin time stepping of parabolic PDEs', Numerical Algorithms, 93, pp. 157 - 177, http://dx.doi.org/10.1007/s11075-022-01410-y
,2022, 'Uniform stability for a spatially discrete, subdiffusive Fokker–Planck equation', Numerical Algorithms, 89, pp. 1441 - 1463, http://dx.doi.org/10.1007/s11075-021-01160-3
,2021, 'A mixed finite element method for the Poisson problem using a biorthogonal system with Raviart–Thomas elements', Numerical Methods for Partial Differential Equations, 37, pp. 2429 - 2445, http://dx.doi.org/10.1002/num.22722
,2021, 'Erratum to “Regularity theory for time-fractional advection-diffusion-reaction equations” [Comput. Math. Appl. 79 (2020) 947–961] (Computers and Mathematics with Applications (2020) 79(4) (947–961), (S0898122119304055), (10.1016/j.camwa.2019.08.008))', Computers and Mathematics with Applications, 85, pp. 82 - 83, http://dx.doi.org/10.1016/j.camwa.2021.01.008
,2021, 'Numerical evaluation of Mittag-Leffler functions', Calcolo, 58, pp. 7, http://dx.doi.org/10.1007/s10092-021-00398-6
,2021, 'A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem', Communications in Computational Physics, 30, pp. 567 - 601, http://dx.doi.org/10.4208/CICP.OA-2020-0124
,2020, 'IMPLEMENTATION of HIGH-ORDER, DISCONTINUOUS GALERKIN TIME STEPPING for FRACTIONAL DIFFUSION PROBLEMS', ANZIAM Journal, 62, pp. 121 - 147, http://dx.doi.org/10.1017/S1446181120000152
,2020, 'Regularity theory for time-fractional advection–diffusion–reaction equations', Computers and Mathematics with Applications, 79, pp. 947 - 961, http://dx.doi.org/10.1016/j.camwa.2019.08.008
,2019, 'Existence, uniqueness and regularity of the solution of the time-fractional Fokker–Planck equation with general forcing', Communications on Pure and Applied Analysis, 18, pp. 2765 - 2787, http://dx.doi.org/10.3934/cpaa.2019124
,2019, 'Well-posedness of time-fractional advection-diffusion-reaction equations', Fractional Calculus and Applied Analysis, 22, pp. 918 - 944, http://dx.doi.org/10.1515/fca-2019-0050
,2019, 'A discrete Grönwall inequality with applications to numerical schemes for subdiffusion problems', SIAM Journal on Numerical Analysis, 57, pp. 218 - 237, http://dx.doi.org/10.1137/16M1175742
,2018, 'A semidiscrete finite element approximation of a time-fractional Fokker Planck equation with nonsmooth initial data', SIAM Journal on Scientific Computing, 40, pp. A3831 - A3852, http://dx.doi.org/10.1137/17M1125261
,2017, 'Finite element approximation of a time-fractional diffusion problem for a domain with a re-entrant corner', ANZIAM Journal, 59, pp. 61 - 61, http://dx.doi.org/10.21914/anziamj.v59i0.10940
,2017, 'FINITE ELEMENT APPROXIMATION of A TIME-FRACTIONAL DIFFUSION PROBLEM for A DOMAIN with A RE-ENTRANT CORNER', ANZIAM Journal, 59, pp. 61 - 82, http://dx.doi.org/10.1017/S1446181116000365
,2017, 'Fractional euler limits and their applications', SIAM Journal on Applied Mathematics, 77, pp. 447 - 469, http://dx.doi.org/10.1137/16M1091861
,2016, 'Numerical solution of the time-fractional Fokker-Planck equation with general forcing', SIAM Journal on Numerical Analysis, 54, pp. 1763 - 1784, http://dx.doi.org/10.1137/15M1031734
,2015, 'Time-stepping error bounds for fractional diffusion problems with non-smooth initial data', Journal of Computational Physics, 293, pp. 201 - 217, http://dx.doi.org/10.1016/j.jcp.2014.08.050
,2014, 'Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions', Advances in Computational Mathematics, 40, pp. 353 - 375, http://dx.doi.org/10.1007/s10444-013-9311-6
,2013, 'Transient photoluminescence from silicon wafers: Finite element analysis', JOURNAL OF APPLIED PHYSICS, 114, http://dx.doi.org/10.1063/1.4826896
,2013, 'Computing the hausdorff distance between two sets of parametric curves', Communications of the Korean Mathematical Society, 28, pp. 833 - 850, http://dx.doi.org/10.4134/CKMS.2013.28.4.833
,2013, 'Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations', SIAM Journal on Numerical Analysis, 51, pp. 491 - 515, http://dx.doi.org/10.1137/120880719
,2012, '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, 53, pp. 134 - 134, http://dx.doi.org/10.21914/anziamj.v53i0.5248
,2012, 'Fast summation by interval clustering for an evolution equation with memory', SIAM Journal on Scientific Computing, 34, pp. A3039 - A3056, http://dx.doi.org/10.1137/120870505
,2012, 'Iterative solution of shifted positive-definitive linear systems arising in a numerical method for the heat equation based on Laplace transformation and quadrature', ANZIAM Journal, 53, pp. 134 - 155, http://dx.doi.org/10.1017/S1446181112000107
,2012, 'Uniform convergence for a discontinuous Galerkin, time-stepping method applied to a fractional diffusion equation', IMA Journal of Numerical Analysis, 32, pp. 906 - 925, http://dx.doi.org/10.1093/imanum/drr027
,2011, 'Regularity of solutions to a time-fractional diffusion equation', ANZIAM Journal, 52, pp. 123 - 138, http://dx.doi.org/10.1017/S1446181111000617
,2011, 'Numerical solution of a parabolic equation on the sphere using Laplace transforms and radial basis functions', ANZIAM Journal, pp. C89 - C102
,2011, 'Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation', Numerical Algorithms, 56, pp. 159 - 184, http://dx.doi.org/10.1007/s11075-010-9379-8
,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, 30, pp. 208 - 230, http://dx.doi.org/10.1093/imanum/drp004
,2010, 'Numerical solution via Laplace transforms of a fractional order evolution equation', Journal of Integral Equations and Applications, 22, pp. 57 - 94, http://dx.doi.org/10.1216/JIE-2010-22-1-57
,2009, 'Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation', Numerical Algorithms, 52, pp. 69 - 88
,2009, 'Discontinuous galerkin method for an evolution equation with a memory term of positive type', Mathematics of Computation, 78, pp. 1975 - 1995
,2007, 'A second-order accurate numerical method for a fractional wave equation', Numerische Mathematik, 105, pp. 481 - 510
,2006, 'Anisotropic mesh refinement: the conditioning of Galerkin boundary element matrices and simple preconditioners', SIAM Journal on Numerical Analysis, 44, pp. 1487 - 1513
,2005, 'Time discretization via Laplace transformation of an integro-differential equation of an integro-differential equation of parabolic type', Numerische Mathematik, 102, pp. 497 - 522
,2004, 'Time discretization of an evolution equation via Laplace transforms', IMA Journal of Numerical Analysis, 24, pp. 439 - 463
,2003, 'A new boundary element method for the biharmonic equation with Dirichlet boundary conditions', Advances in Computational Mathematics, 19, pp. 339 - 365
,2003, 'Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes', Numerische Mathematik, 93, pp. 387 - 413
,2000, 'Diagonal scaling of stiffness matrices in the Galerkin boundary element method', Journal of Australian Mathematical Society B, pp. 141 - 150
,1999, 'Boundary element preconditioners for a hypersingular integral equation on an interval', Advances in Computational Mathematics, 11, pp. 271 - 286
,1999, 'The conditioning of boundary element equations on locally refined meshes and preconditioning by diagonal scaling', SIAM Journal on Numerical Analysis, pp. 1901 - 1932
,1997, 'A preconditioning strategy of boundary element Galerkin methods', Numerical Methods for Partial Differential Equations, 13, pp. 283 - 301
,1997, 'Asymptotic behaviour of numerical solutions of an evolution equation with memory', Asymptotic Analysis, 14, pp. 257 - 276
,1996, 'Boundary element collocation methods using splines with multiple knots', Numerische Mathematik, pp. 419 - 451
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