By Emeritus Professor Ian Hugh Sloan

Journal articles

Brauchart JS; Grabner PJ; Sloan IH; Womersley RS, 2024, 'Needlets liberated', Applied and Computational Harmonic Analysis, 73, http://dx.doi.org/10.1016/j.acha.2024.101693

Hamann J; Le Gia QT; Sloan IH; Womersley RS, 2024, 'Removing the Mask—Reconstructing a Real-Valued Field on the Sphere from a Masked Field by Spherical Fourier Analysis', SIAM Journal on Imaging Sciences, 17, pp. 1820 - 1843, http://dx.doi.org/10.1137/23m1603157

Alodat T; Le Gia QT; Sloan IH, 2024, 'On approximation for time-fractional stochastic diffusion equations on the unit sphere', Journal of Computational and Applied Mathematics, 446, http://dx.doi.org/10.1016/j.cam.2024.115863

Brown B; Griebel M; Kuo FY; Sloan IANH, 2024, 'ON THE EXPECTED UNIFORM ERROR OF BROWNIAN MOTION APPROXIMATED BY THE LÉVY-CIESIELSKI CONSTRUCTION', Bulletin of the Australian Mathematical Society, 109, pp. 581 - 593, http://dx.doi.org/10.1017/S0004972723000850

Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2024, 'Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration', Numerische Mathematik, 156, pp. 565 - 608, http://dx.doi.org/10.1007/s00211-024-01397-9

Ganesh M; Kuo FY; Sloan IH, 2024, 'Corrigendum: Quasi–Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media', SIAM/ASA Journal on Uncertainty Quantification, 12, pp. 212 - 212, http://dx.doi.org/10.1137/23m1624609

Hakula H; Harbrecht H; Kaarnioja V; Kuo FY; Sloan IH, 2024, 'Uncertainty quantification for random domains using periodic random variables', Numerische Mathematik, 156, pp. 273 - 317, http://dx.doi.org/10.1007/s00211-023-01392-6

Zhong M; Gia QTL; Sloan IH, 2023, 'A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres', Journal of Scientific Computing, 94, http://dx.doi.org/10.1007/s10915-022-02046-9

Gilbert AD; Kuo FY; Sloan IH, 2023, 'ANALYSIS OF PREINTEGRATION FOLLOWED BY QUASI-MONTE CARLO INTEGRATION FOR DISTRIBUTION FUNCTIONS AND DENSITIES', SIAM Journal on Numerical Analysis, 61, pp. 135 - 166, http://dx.doi.org/10.1137/21M146658X

Gilbert AD; Kuo FY; Sloan IH, 2022, 'EQUIVALENCE BETWEEN SOBOLEV SPACES OF FIRST-ORDER DOMINATING MIXED SMOOTHNESS AND UNANCHORED ANOVA SPACES ON Rd', Mathematics of Computation, 91, pp. 1837 - 1869, http://dx.doi.org/10.1090/MCOM/3718

Kaarnioja V; Kazashi Y; Kuo FY; Nobile F; Sloan IH, 2022, 'Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification', Numerische Mathematik, 150, pp. 33 - 77, http://dx.doi.org/10.1007/s00211-021-01242-3

Hartung T; Jansen K; Kuo FY; Leövey H; Nuyens D; Sloan IH, 2021, 'Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory', Journal of Computational Physics, 443, http://dx.doi.org/10.1016/j.jcp.2021.110527

Hamann J; Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2021, 'A new probe of Gaussianity and isotropy with application to cosmic microwave background maps', International Journal of Modern Physics C, 32, http://dx.doi.org/10.1142/S0129183121500844

Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2021, 'A quasi-monte carlo method for optimal control under uncertainty', SIAM-ASA Journal on Uncertainty Quantification, 9, pp. 354 - 383, http://dx.doi.org/10.1137/19M1294952

Gilbert AD; Kuo FY; Sloan IH, 2021, 'Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$', , http://arxiv.org/abs/2103.16075v3

Hesse K; Sloan IH; Womersley RS, 2021, 'Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data', Journal of Computational and Applied Mathematics, 382, http://dx.doi.org/10.1016/j.cam.2020.113061

Sloan I, 2021, 'A marriage made in heaven — mathematics and computers', Journal and Proceedings of the Royal Society of New South Wales, 154, pp. 133 - 138, http://dx.doi.org/10.5962/p.361971

Ganesh M; Kuo FY; Sloan IH, 2021, 'Quasi-monte carlo finite element analysis for wave propagation in heterogeneous random media', SIAM-ASA Journal on Uncertainty Quantification, 9, pp. 106 - 134, http://dx.doi.org/10.1137/20M1334164

Cools R; Kuo FY; Nuyens D; Sloan IH, 2020, 'Fast Component-by-Component Construction of Lattice Algorithms for Multivariate Approximation with Pod and Spod Weights', Mathematics of Computation, 90, pp. 787 - 812, http://dx.doi.org/10.1090/MCOM/3586

Kaarnioja V; Kazashi Y; Kuo FY; Nobile F; Sloan IH, 2020, 'Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification', Numerische Mathematik, 150, pp. 33 - 77, http://dx.doi.org/10.1007/s00211-021-01242-3

Dick J; Hinrichs A; Novak E; Ritter K; Sloan I; Wasilkowski G; Woźniakowski H, 2020, 'Editorial board announcements', Journal of Complexity, 59, pp. 101492 - 101492, http://dx.doi.org/10.1016/s0885-064x(20)30035-2

Gilbert AD; Graham IG; Kuo FY; Scheichl R; Sloan IH, 2019, 'Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients', Numerische Mathematik, 142, pp. 863 - 915, http://dx.doi.org/10.1007/s00211-019-01046-6

Feischl M; Kuo FY; Sloan IH, 2019, 'Correction to: Fast random field generation with H-matrices (Math. (2018) 140:639–676, (10.1007/s00211-018-0974-2))', Numerische Mathematik, 142, pp. 787, http://dx.doi.org/10.1007/s00211-019-01033-x

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',

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