By Emeritus Professor Ian Hugh Sloan

Journal articles

Brauchart JS; Dick J; Saff EB; Sloan IH; Wang YG; Womersley RS, 2015, 'Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces', Journal of Mathematical Analysis and Applications, 431, pp. 782 - 811, http://dx.doi.org/10.1016/j.jmaa.2015.05.079

Graham IG; Kuo FY; Nichols JA; Scheichl R; Schwab C; Sloan IH, 2015, 'Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients', Numerische Mathematik, 131, pp. 329 - 368, http://dx.doi.org/10.1007/s00211-014-0689-y

Novak E; Ritter K; Sloan IH; Traub JF; Woźniakowski H, 2015, 'Bernd Carl, Aicke Hinrichs, and Philipp Rudolph share the 2014 Best Paper Award', Journal of Complexity, 31, pp. v, http://dx.doi.org/10.1016/S0885-064X(15)00031-X

Kuo FY; Schwab C; Sloan IH, 2015, 'Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients', Foundations of Computational Mathematics, 15, pp. 411 - 449, http://dx.doi.org/10.1007/s10208-014-9237-5

Pereverzyev SV; Sloan IH; Tkachenko P, 2015, 'Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere', SIAM Journal on Numerical Analysis, 53, pp. 820 - 835, http://dx.doi.org/10.1137/140964990

Novak E; Ritter K; Sloan I; Woźniakowski H, 2015, 'Joseph F. Traub, the Founding Editor of the Journal of Complexity, dies at 83', Journal of Complexity, 31, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(15)00094-1

Novak E; Sloan I; Ritter K; Traub J; Woźniakowski H, 2015, 'Tino Ullrich Wins the 2014 Information-Based Complexity Young Researcher Award', Journal of Complexity, 31, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(15)00012-6

Brauchart JS; Saff EB; Sloan IH; Womersley RS, 2014, 'QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere', Mathematics of Computation, 83, pp. 2821 - 2851, http://dx.doi.org/10.1090/S0025-5718-2014-02839-1

An C; Chen X; Sloan IH; Womersley RS, 2014, 'Erratum: Regularized least squares approximations on the sphere using spherical designs (SIAM Journal on Numerical Analysis (2012) 50 (1513-1534))', SIAM Journal on Numerical Analysis, 52, pp. 2205 - 2206, http://dx.doi.org/10.1137/140962504

Novak E; Sloan I; Traub J; Woźniakowski H, 2014, 'Christoph Aistleitner Wins the 2013 Information-Based Complexity Young Researcher Award', Journal of Complexity, 30, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(13)00095-2

Novak E; Sloan IH; Traub JF; Wozniakowski H, 2014, 'Frances Kuo Wins the 2014 Information-Based Complexity Prize', Journal of Complexity, 30, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(14)00056-9

Novak E; Sloan IH; Traub JF; Wozniakowski H, 2014, 'Shu Tezuka, Joos Heintz, Bart Kuijpers, and Andrés Rojas Paredes Share the 2013 Best Paper Award', Journal of Complexity, 30, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(14)00036-3

Chernih A; Sloan IH; Womersley RS, 2014, 'Wendland functions with increasing smoothness converge to a Gaussian', Advances in Computational Mathematics, 40, pp. 185 - 200, http://dx.doi.org/10.1007/s10444-013-9304-5

Sinescu V; Kuo FY; Sloan IH, 2013, 'On the Choice of Weights in a Function Space for Quasi-Monte Carlo Methods for a Class of Generalised Response Models in Statistics', Springer Proceedings in Mathematics and Statistics, 65, pp. 631 - 647, http://dx.doi.org/10.1007/978-3-642-41095-6_33

Novak E; Sloan IH; Traub JF; Wozniakowski H, 2013, 'Dmitriy Bilyk, Lutz Kämmerer, Stefan Kunis, Daniel Potts, Volodya Temlyakov and Rui Yu share the 2012 Best Paper Award', Journal of Complexity, 29, pp. 141 - 141, http://dx.doi.org/10.1016/j.jco.2013.01.001

Kuo FY; Sloan IH; Schwab C, 2013, 'Erratum: Quasi-Monte Carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond (ANZIAM Journal (2011) 53 (1-37))', ANZIAM Journal, 54, pp. 216 - 219, http://dx.doi.org/10.1017/S144618111300014X

Dick J; Kuo FY; Sloan IH, 2013, 'High dimensional numerical integration - the Quasi-Monte Carlo way', Acta Numerica, 22, pp. 133 - 288, http://dx.doi.org/10.1017/S0962492913000044

Novak E; Sloan I; Traub J; Woźniakowski H, 2013, 'Pawel Przybylowicz wins the 2012 Information-Based Complexity Young Researcher Award', Journal of Complexity, 29, pp. 2 - 2, http://dx.doi.org/10.1016/j.jco.2012.11.002

Griebel M; Kuo FY; Sloan IH, 2013, 'The smoothing effect of integration in $R^d$ and the ANOVA decomposition', Mathematics of Computation, 82, pp. 383 - 400

Kuo FY; Schwab C; Sloan IH, 2012, 'Erratum: Quasi-monte carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond (ANZIAM Journal (2011) 53 (1-37) DOI: 10.1017/S1446181112000077)', ANZIAM Journal, 53, pp. 251, http://dx.doi.org/10.1017/S1446181112000144

Sloan IH; Womersley RS, 2012, 'Filtered hyperinterpolation: a constructive polynomial approximation on the sphere', International Journal on Geomathematics, 3, pp. 95 - 117, http://dx.doi.org/10.1007/s13137-011-0029-7

Le Gia QT; Sloan IH; Wendland H, 2012, 'Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere', Applied and Computational Harmonic Analysis, 32, pp. 401 - 412, http://dx.doi.org/10.1016/j.acha.2011.07.007

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

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