By Emeritus Professor Ian Hugh Sloan

Journal articles

Le Gia QT; Sloan IH; Wendland H, 2012, 'Multiscale RBF collocation for solving PDEs on spheres', Numerische Mathematik, 121, pp. 99 - 125, http://dx.doi.org/10.1007/s00211-011-0428-6

Kuo FY; Schwab CH; Sloan IH, 2012, 'Quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients', SIAM Journal on Numerical Analysis, 50, pp. 3351 - 3374, http://dx.doi.org/10.1137/110845537

Kuo FY; Schwab CH; Sloan IH, 2012, 'Quasi-monte carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond', ANZIAM Journal, 53, pp. 1 - 37, http://dx.doi.org/10.1017/S1446181112000077

An C; Chen X; Sloan IH; Womersley RS, 2012, 'Regularized least squares approximations on the sphere using spherical designs', SIAM Journal on Numerical Analysis, 50, pp. 1513 - 1534, http://dx.doi.org/10.1137/110838601

Novak E; Sloan IH; Traub JF; Wozniakowski H, 2012, 'Thomas Daun, Leszek Plaskota, Greg W. Wasilkowski Win the 2011 Best Paper Award', Journal of Complexity, 28, pp. 519 - 519, http://dx.doi.org/10.1016/j.jco.2012.08.003

Chan CK; Chen X; Qi L; Rogers C; Shi ZC; Sloan I, 2011, 'Journal of Computational and Applied Mathematics: Preface', Journal of Computational and Applied Mathematics, 235, pp. 3703 - 3704, http://dx.doi.org/10.1016/j.cam.2011.01.013

Ganesh M; Le Gia QT; Sloan IH, 2011, 'A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres', Mathematics of Computation, 80, pp. 1397 - 1430, http://dx.doi.org/10.1090/S0025-5718-2010-02440-8

Novak E; Sloan IH; Traub JF; Wozniakowski H, 2011, 'Aicke Hinrichs, Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich win the 2010 Best Paper Award', Journal of Complexity, 27, pp. 501 - 501, http://dx.doi.org/10.1016/j.jco.2011.10.001

Sloan IH, 2011, 'Polynomial approximation on spheres - Generalizing de la Vallée-Poussin', Computational Methods in Applied Mathematics, 11, pp. 540 - 552

Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2011, 'Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications', Journal of Computational Physics, 230, pp. 3668 - 3694, http://dx.doi.org/10.1016/j.jcp.2011.01.023

Wang X; Sloan IH, 2011, 'Quasi-Monte Carlo methods in financial engineering: An equivalence principle and dimension reduction', Operations Research, 59, pp. 80 - 95, http://dx.doi.org/10.1287/opre.1100.0853

Le Gia QT; Sloan IH; Wathen AJ, 2011, 'Stability and preconditioning for a hybrid approximation on the sphere', Numerische Mathematik, 118, pp. 695 - 711, http://dx.doi.org/10.1007/s00211-011-0369-0

Hegland M; Heinrich S; Sloan IH, 2010, 'Journal of Complexity: Guest Editors' Preface', Journal of Complexity, 26, pp. 407, http://dx.doi.org/10.1016/S0885-064X(10)00078-6

Novak E; Sloan IH; Traub JF; Wozniakowski H, 2010, 'Frank Aurzada, Steffen Dereich, Michael Scheutzow, and Christian Vormoor win the 2009 best paper award', Journal of Complexity, 26, pp. 335 - 335, http://dx.doi.org/10.1016/s0885-064x(10)00058-0

Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'Liberating the dimension', Journal of Complexity, 26, pp. 422 - 454

Le Gia QT; Sloan IH; Wendland H, 2010, 'Multiscale analysis in Sobolev spaces on the sphere', SIAM Journal on Numerical Analysis, 48, pp. 2065 - 2090, http://dx.doi.org/10.1137/090774550

Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'On decompositions of multivariate functions', Mathematics of Computation, 79, pp. 953 - 966

Tran T; Le Gia QT; Sloan IH; Stephan EP, 2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, 115, pp. 141 - 163

Kuo FY; Sloan IH; Wasilkowski GW; Waterhouse BJ, 2010, 'Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands', Journal of Complexity, 26, pp. 135 - 160, http://dx.doi.org/10.1016/j.jco.2009.07.005

Griebel M; Kuo FY; Sloan IH, 2010, 'The smoothing effect of the ANOVA decomposition', Journal of Complexity, 26, pp. 523 - 551

An C; Chen X; Sloan IH; Womersley RS, 2010, 'Well conditioned spherical designs for integration and interpolation on the two-sphere', SIAM Journal on Numerical Analysis, 48, pp. 2135 - 2157, http://dx.doi.org/10.1137/100795140

Sloan IH; Womersley RS, 2009, 'A variational characterisation of spherical designs', Journal of Approximation Theory, 159, pp. 308 - 318

Le Gia QT; Tran T; Sloan IH; Stephan EP, 2009, 'Boundary integral equations on the sphere with radial basis functions: error analysis', Applied Numerical Mathematics, 59, pp. 2857 - 2871

Sloan IH; Wendland H, 2009, 'Inf-sup condition for spherical polynomials and radial basis functions on spheres', Mathematics of Computation, 78, pp. 1319 - 1331

Le Gia QT; Sloan IH; Tran T, 2009, 'Overlapping additive schwarz preconditioners for elliptic pdes on the unit sphere', Mathematics of Computation, 78, pp. 79 - 101

Sloan IH, 2008, 'Counting Australia in: the people, organizations, and institutions of Australian mathematics', The Mathematical Intelligencer, 30, pp. 63 - 65, http://dx.doi.org/10.1007/bf02985739

Kuo FY; Sloan IH; Wozniakowski H, 2008, 'Lattice rule algorithms for multivariate approximation in the average case setting', Journal of Complexity, 24, pp. 283 - 323

Sloan IH; Wang X, 2008, 'Low discrepancy sequences in high dimensions: How well are their projections distributed?', Journal of Computational and Applied Mathematics, 213, pp. 366 - 386, http://dx.doi.org/10.1016/j.cam.2007.01.005

Kuo FY; Giles M; Sloan IH; Waterhouse BJ, 2008, 'Quasi-Monte Carlo for finance applications', The ANZIAM Journal, 50, pp. C308 - C323

Kuo FY; Dunsmuir WT; Sloan IH; Wand MP; Womersley RS, 2008, 'Quasi-Monte Carlo for highly structured generalised response models', Methodology and Computing in Applied Probability, 10, pp. 239 - 275

Sloan IH, 2007, 'Finite-Order Integration Weights Can be Dangerous', Computational Methods in Applied Mathematics, 7, pp. 239 - 254, http://dx.doi.org/10.2478/cmam-2007-0015

Hesse K; Kuo FY; Sloan IH, 2007, 'A component-by-component approach to efficient numerical integration over products of spheres', Journal of Complexity, 23, pp. 25 - 51, http://dx.doi.org/10.1016/j.jco.2006.08.001

Sloan IH; Sommariva A, 2007, 'Approximation on the sphere using radial basis functions plus polynomials', Advances in Computational Mathematics, Online

Wang X; Sloan IH, 2007, 'Brownian bridge and principal component analysis: towards removing the curse of dimensionality', IMA Journal of Numerical Analysis, 27, pp. 631 - 654

Ganesh M; Langdon S; Sloan IH, 2007, 'Efficient evaluation of highly oscillatory acoustic scattering surface integrals', Journal of Computational and Applied Mathematics, 204, pp. 363 - 374

Dick J; Kritzer P; Kuo FY; Sloan IH, 2007, 'Lattice-Nystrom method for Fredholm integral equations of the second kind with convolution type kernels', Journal of Complexity, 23, pp. 752 - 772

Kuo FY; Sloan IH; Wozniakowski H, 2007, 'Periodization strategy may fail in high dimensions', Numerical Algorithms, 46, pp. 369 - 391

Hesse K; Mhaskar H; Sloan IH, 2007, 'Quadrature in Besov spaces on the Euclidean sphere', Journal of Complexity, 23, pp. 528 - 552

Plaskota L; Sloan I, 2006, 'Guest Editors' preface', Journal of Complexity, 22, pp. 4, http://dx.doi.org/10.1016/j.jco.2006.09.001

Dahmen W; Geronimo J; Xin L; Pritsker I; Sloan I; Lubinsky D, 2006, 'Special volume on constructive function theory', Electronic Transactions on Numerical Analysis, 25, pp. xiii - xiv

Hesse K; Sloan IH, 2006, 'Cubature over the sphere S2 in Sobolev spaces of arbitrary order', Journal of Approximation Theory, 141, pp. 118 - 133

Wang XJ; Sloan IH, 2006, 'Efficient weighted lattice rules with applications to finance', SIAM journal of scientific computation, 28, pp. 728 - 750

Dick J; Sloan IH; Wang XJ; Wozniakowski H, 2006, 'Good lattice rules in weighted Korobov spaces with general weights', Numerische Mathematik, 103, pp. 63 - 97

Grigorieff RD; Sloan IH, 2006, 'Qualocation for boundary integral equations', Journal of Integral Equations and Applications, 18, pp. 117 - 140

Waterhouse BJ; Kuo FY; Sloan IH, 2006, 'Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions', Journal of Complexity, 22, pp. 71 - 101, http://dx.doi.org/10.1016/j.jco.2005.06.004

Freeden W; Grafarend EW; Sloan IH; Svensson L, 2005, 'Geomathematik', Oberwolfach Reports, 1, pp. 1371 - 1448, http://dx.doi.org/10.4171/owr/2004/27

Hickernell FJ; Sloan IH; Wasilkowski GW, 2005, 'A piecewise constant algorithm for weighted L-1 approximation over bounded or unbounded regions in R-s', SIAM Journal on Numerical Analysis, 43, pp. 1003 - 1020

Dick J; Kuo FY; Pillichshammer F; Sloan IH, 2005, 'Construction algorithms for polynomial lattice rules for multivariate integration', Mathematics of Computation, 74, pp. 1895 - 1921

Grigorieff RD; Sloan IH, 2005, 'Discrete orthogonal projections on multiple knot periodic splines', Journal of Approximation Theory, 137, pp. 201 - 225

Kuo FY; Sloan IH, 2005, 'Lifting the curse of dimensionality', Notices of the American Mathematical Society, 52, pp. 1320 - 1328

Back to profile page