By Emeritus Professor Ian Hugh Sloan

Journal articles

Gia QTL; Sloan IH; Womersley RS; Wang YG, 2019, 'Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere', Applied and Computational Harmonic Analysis, http://dx.doi.org/10.1016/j.acha.2019.01.005

Griewank A; Kuo FY; Leövey H; Sloan IH, 2018, 'High dimensional integration of kinks and jumps—Smoothing by preintegration', Journal of Computational and Applied Mathematics, 344, pp. 259 - 274, http://dx.doi.org/10.1016/j.cam.2018.04.009

Feischl M; Kuo FY; Sloan IH, 2018, 'Fast random field generation with H-matrices', Numerische Mathematik, 140, pp. 639 - 676, http://dx.doi.org/10.1007/s00211-018-0974-2

Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2018, 'Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients', Numerische Mathematik, 140, pp. 479 - 511, http://dx.doi.org/10.1007/s00211-018-0968-0

Sloan IH; Woźniakowski H, 2018, 'Multivariate approximation for analytic functions with Gaussian kernels', Journal of Complexity, 45, pp. 1 - 21, http://dx.doi.org/10.1016/j.jco.2017.11.001

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2018, 'Analysis of circulant embedding methods for sampling stationary random fields', SIAM Journal on Numerical Analysis, 56, pp. 1871 - 1895, http://dx.doi.org/10.1137/17M1149730

Gilbert AD; Kuo FY; Sloan IH, 2018, 'Hiding the weights—CBC black box algorithms with a guaranteed error bound', Mathematics and Computers in Simulation, 143, pp. 202 - 214, http://dx.doi.org/10.1016/j.matcom.2016.06.005

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere-Hole Radii, Covering, and Separation', EXPERIMENTAL MATHEMATICS, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Dick J; Hinrichs A; Novak E; Ritter K; Sloan I; Wasilkowski G; Woźniakowski H, 2018, 'Changes of the Editorial Board', Journal of Complexity, 46, pp. iii - iii, http://dx.doi.org/10.1016/s0885-064x(18)30017-7

Kuo FY; Nuyens D; Plaskota L; Sloan IH; Wasilkowski GW, 2017, 'Infinite-dimensional integration and the multivariate decomposition method', Journal of Computational and Applied Mathematics, 326, pp. 217 - 234, http://dx.doi.org/10.1016/j.cam.2017.05.031

Hesse K; Sloan IH; Womersley RS, 2017, 'Radial basis function approximation of noisy scattered data on the sphere', Numerische Mathematik, 137, pp. 579 - 605, http://dx.doi.org/10.1007/s00211-017-0886-6

Wang YG; Le Gia QT; Sloan IH; Womersley RS, 2017, 'Fully discrete needlet approximation on the sphere', Applied and Computational Harmonic Analysis, 43, pp. 292 - 316, http://dx.doi.org/10.1016/j.acha.2016.01.003

Wang H; Sloan IH, 2017, 'On Filtered Polynomial Approximation on the Sphere', Journal of Fourier Analysis and Applications, 23, pp. 863 - 876, http://dx.doi.org/10.1007/s00041-016-9493-7

Le Gia QT; Sloan IH; Wendland H, 2017, 'Zooming from global to local: a multiscale RBF approach', Advances in Computational Mathematics, 43, pp. 581 - 606, http://dx.doi.org/10.1007/s10444-016-9498-4

Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2017, 'Needlet approximation for isotropic random fields on the sphere', Journal of Approximation Theory, 216, pp. 86 - 116, http://dx.doi.org/10.1016/j.jat.2017.01.001

Kuo FY; Scheichl R; Schwab C; Sloan IH; Ullmann E, 2017, 'Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems', Mathematics of Computation, 86, pp. 2827 - 2860, http://dx.doi.org/10.1090/mcom/3207

Kuo FY; Sloan IH; Woźniakowski H, 2017, 'Multivariate integration for analytic functions with Gaussian Kernels', Mathematics of Computation, 86, pp. 829 - 853, http://dx.doi.org/10.1090/mcom/3144

Griebel M; Kuo FY; Sloan IH, 2017, 'Note on "The smoothing effect of integration in R^d and the ANOVA decomposition"', Mathematics of Computation, 86, pp. 1847 - 1854, http://dx.doi.org/10.1090/mcom/3172

Griebel M; Kuo FY; Sloan IH, 2017, 'The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth', Mathematics of Computation, 86, pp. 1855 - 1876, http://dx.doi.org/10.1090/mcom/3171

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2016, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, pp. 1 - 20, http://dx.doi.org/10.1080/10586458.2016.1226209

Wang YG; Sloan IH; Womersley RS, 2016, 'Riemann Localisation on the Sphere', Journal of Fourier Analysis and Applications, 24, pp. 1 - 43, http://dx.doi.org/10.1007/s00041-016-9496-4

Cao H; Pereverzyev SV; Sloan IH; Tkachenko P, 2016, 'Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions', Applied Mathematics and Computation, 273, pp. 993 - 1005, http://dx.doi.org/10.1016/j.amc.2015.10.053

Novak E; Ritter K; Sloan I; Woźniakowski H, 2016, 'The Future of the Journal of Complexity', Journal of Complexity, 32, pp. v - v, http://dx.doi.org/10.1016/s0885-064x(15)00117-x

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2015, 'Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation',

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

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