By Emeritus Professor Ian Hugh Sloan

Conference Papers

Sloan IH, 2004, 'Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress: Preface', in Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress

Kuo FY; Sloan IH; Wozniakowski H, 2004, 'Lattice rules for multivariate approximation in the worst case setting', in Monte Carlo and Quasi-Monte Carlo Methods 2004, France, presented at Monte Carlo and Quasi-Monte Carlo Methods 2004, France, 07 June 2004 - 10 June 2004

Sloan IH, 2002, 'QMC integration - Beating intractability by weighting the coordinate directions', in Monte Carlo and Quasi-Monte Carlo Methods 2000, Hong Kong, presented at Monte Carlo and Quasi-Monte Carlo Methods 2000, Hong Kong, 27 November 2002 - 01 December 2002

Hickernell FJ; Sloan IH; Wasilkowski GW, 2002, 'On tractability of weighted integration for certain Banach spaces of functions', in 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002

Hickernell FJ; Sloan IH; Wasilkowski GW, 2002, 'The strong tractability of multivariate integration using lattice rules', in 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002

Sloan IH; Wozniakowski H, 2002, 'When does Monte Carlo Depend Polynomially on the Number of Variables?', in 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, presented at 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002

Sloan IH; Womersley RS, 2002, 'The uniform error of hyperinterpolation on the sphere', in 3rd International conference on multivariate approximation theory, Witten-Bommerholz, Germany, presented at 5th International Conference on Multivariate Approximation, Witten-Bommerholz, Germany, 22 September 2002 - 27 September 2002

Sloan IH; Womersley RS, 1999, 'The search for good polynomial interpolation points on the sphere', in Griffiths DF; Watson GA (ed.), 18th Dundee Biennial Conference on Numerical Analysis, University of Dundee, pp. 211 - 229, presented at 18th Dundee Biennial Conference on Numerical Analysis, University of Dundee, 29 June 1999 - 02 July 1999

Cao HT; Kelly DW; Sloan IH, 1999, 'Pointwise error estimates for stress in two dimensional elasticity', in ACAM 99 2nd Australasian congress on applied mechanics, ADFA, Canberra, presented at ACAM 99 2nd Australasian congress on applied mechanics, ADFA, Canberra, 10 February 1999 - 12 February 1999

Cao HT; Kelly DW; Sloan IH, 1997, 'Post-processing for pointwise local error bounds for derivatives in finite element solutions', in Design, Simulation and Optimisation Reliability and Applicability of Computational Methods, Universitat of Stuttgart, Germany, presented at Design, Simulation and Optimisation Reliability and Applicability of Computational Methods, Universitat of Stuttgart, Germany, 09 April 1997 - 11 April 1997

Sloan IH; Wozniakowski H, 1997, 'Multiple integrals in many dimensions', in Guangzhou international sysmposium, Zhongshan University, Guangzhou China, presented at Guangzhou international sysmposium, Zhongshan University, Guangzhou China

Sloan IH, 1997, 'Interpolation and hyperinterpolation on the sphere', in 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996, presented at 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996

Wang S; Sloan IH; Kelly DW, 1995, 'Pointwise a posteriori upper error bounds for derivatives of a Neumann problem', in Computational Techniques and Applications: Proceedings, Singapore, presented at Computational Techniques and Applications: CTAC 1995, Singapore, 11 July 1995 - 14 July 1995

Grigorieff RD; Sloan IH, 1995, 'High-order spline Petrov-Galerkin methods with quadrature', in ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, AKADEMIE VERLAG GMBH, GERMANY, HAMBURG, pp. 15 - 18, presented at 3rd International Congress on Industrial and Applied Mathematics (ICIAM 95), GERMANY, HAMBURG, 03 July 1995 - 07 July 1995, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1996VG25400005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Sloan IH, 1995, 'Lattice rules of moderate order', in Fang K-T; Hickernell FJ (ed.), Proceedings Workshop on Quasi-Monte Carlo Methods and their Applications, Statistics Research and Consultancy Unit, Hong Kong Baptist University, Hong Kong Baptist University, presented at Workshop on Quasi-Monte Carlo Methods and their Applications, Hong Kong Baptist University, -

NIEDERREITER H; SLOAN IH, 1992, 'QUASI-MONTE-CARLO METHODS WITH MODIFIED VERTEX WEIGHTS', in Brass H; Hammerlin G (ed.), NUMERICAL INTEGRATION IV, BIRKHAUSER VERLAG, GERMANY, MATH RES INST, OBERWOLFACH, pp. 253 - 265, presented at 4th Symposium on Numerical Integration, GERMANY, MATH RES INST, OBERWOLFACH, 08 November 1992 - 14 November 1992, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1993BA17Z00020&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

SLOAN IH, 1991, 'UNCONVENTIONAL METHODS FOR BOUNDARY INTEGRAL-EQUATIONS IN THE PLANE', in Griffiths DF; Watson GA (ed.), NUMERICAL ANALYSIS 1991, LONGMAN SCIENTIFIC & TECHNICAL, SCOTLAND, UNIV DUNDEE, DUNDEE, pp. 194 - 218, presented at 14TH BIENNIAL DUNDEE CONF ON NUMERICAL ANALYSIS, SCOTLAND, UNIV DUNDEE, DUNDEE, 25 June 1991 - 28 June 1991, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992BY14D00012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

SLOAN IH, 1991, 'NUMERICAL-INTEGRATION IN HIGH DIMENSIONS - THE LATTICE RULE APPROACH', in ESPELID TO; GENZ A (ed.), NUMERICAL INTEGRATION, KLUWER ACADEMIC PUBL, NORWAY, BERGEN, pp. 55 - 69, presented at NATO ADVANCED RESEARCH WORKSHOP ON NUMERICAL INTEGRATION : RECENT DEVELOPMENTS, SOFTWARE AND APPLICATIONS, NORWAY, BERGEN, 17 June 1991 - 21 June 1991

Sloan IH, 1984, 'FAST CONVERGENCE OF THE ITERATED GALERKIN METHOD FOR INTEGRAL EQUATIONS.', pp. 352 - 358

Sloan IH; Kachoyan PJ, 1984, 'Lattices for Multiple Integration', in Gustafson S-A; Womersley RS (ed.), Centre for Mathematical Analysis, Australian National University, Canberra, pp. 147 - 165, presented at Mathematical Programming and NumerAustraliical Analysis Workshop, Canberra, -

Sloan IH, 1984, 'The iterated Galerkin method for integral equations of the second kind', in Jefferies B; McIntosh A (ed.), Miniconference on Partial Differential Eqautions, Centre for Mathematical Analysis, Australian National University, Canberra, presented at Miniconference on Partial Differential Equations, Canberra, -

Conference Proceedings (Editor of)

Dick J; Kuo FY; Peters GW; Sloan IH; Dick J; Kuo FY; Peters GW; Sloan IH, (eds.), 2013, 'Monte Carlo and quasi-Monte Carlo methods 2012', Springer Berlin Heidelberg, Vol. 65, http://dx.doi.org/10.1007/978-3-642-41095-6

Working Papers

Hamann J; Gia QTL; Sloan IH; Wang YG; Womersley RS, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org, http://arxiv.org/abs/1911.11442v2

Cools R; Kuo FY; Nuyens D; Sloan IH, 2019, Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights, http://dx.doi.org, http://arxiv.org/abs/1910.06606v1

Cools R; Kuo FY; Nuyens D; Sloan IH, 2019, Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, http://dx.doi.org, http://arxiv.org/abs/1910.06604v1

Kazashi Y; Kuo FY; Sloan IH, 2019, Derandomised lattice rules for high dimensional integration, http://dx.doi.org, http://arxiv.org/abs/1903.05145v1

Gia QTL; Sloan IH; Womersley RS; Wang YG; Le Gia Q, 2018, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, http://dx.doi.org

Brown B; Griebel M; Kuo FY; Sloan IH, 2017, On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction, http://dx.doi.org, http://arxiv.org/abs/1706.00915v3

Kuo FY; Schwab C; Sloan IH, 2012, Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients, http://dx.doi.org, http://arxiv.org/abs/1208.6349v2

Preprints

Graham IG; Kuo FY; Nuyens D; Sloan IH; Spence EA, 2025, Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation, http://arxiv.org/abs/2502.12451v1

Keller A; Kuo FY; Nuyens D; Sloan IH, 2025, Regularity and Tailored Regularization of Deep Neural Networks, with application to parametric PDEs in uncertainty quantification, http://arxiv.org/abs/2502.12496v1

Hamann J; Gia QTL; Sloan IH; Womersley RS, 2023, Removing the mask -- reconstructing a scalar field on the sphere from a masked field, http://dx.doi.org/10.1137/23M1603157

Sloan IH; Kaarnioja V, 2023, Doubling the rate -- improved error bounds for orthogonal projection with application to interpolation, http://arxiv.org/abs/2308.06052v3

Kuo FY; Mo W; Nuyens D; Sloan IH; Srikumar A, 2023, Comparison of Two Search Criteria for Lattice-based Kernel Approximation, http://arxiv.org/abs/2304.01685v1

Kaarnioja V; Kuo FY; Sloan IH, 2023, Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions, http://arxiv.org/abs/2303.17755v2

Gilbert AD; Kuo FY; Sloan IH; Srikumar A, 2022, Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation, http://arxiv.org/abs/2212.11493v2

Alodat T; Gia QTL; Sloan IH, 2022, On approximation for time-fractional stochastic diffusion equations on the unit sphere, http://arxiv.org/abs/2212.05690v3

Hakula H; Harbrecht H; Kaarnioja V; Kuo FY; Sloan IH, 2022, Uncertainty quantification for random domains using periodic random variables, http://arxiv.org/abs/2210.17329v2

Hakula H; Harbrecht H; Kaarnioja V; Kuo FY; Sloan IH, 2022, Uncertainty quantification for random domains using periodic random variables, http://dx.doi.org/10.48550/arxiv.2210.17329

Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2022, Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration, http://dx.doi.org/10.1007/s00211-024-01397-9

Brauchart JS; Grabner PJ; Sloan IH; Womersley RS, 2022, Needlets Liberated, http://arxiv.org/abs/2207.12838v1

Gilbert AD; Kuo FY; Sloan IH, 2021, Preintegration is not smoothing when monotonicity fails, http://arxiv.org/abs/2112.11621v1

Gilbert AD; Kuo FY; Sloan IH, 2021, Analysis of preintegration followed by quasi-Monte Carlo integration for distribution functions and densities, http://arxiv.org/abs/2112.10308v5

Hartung T; Jansen K; Kuo FY; Leövey H; Nuyens D; Sloan IH, 2021, Lattice field computations via recursive numerical integration, http://arxiv.org/abs/2112.05069v1

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://dx.doi.org/10.48550/arxiv.2103.16075

Hartung T; Jansen K; Kuo FY; Leövey H; Nuyens D; Sloan IH, 2020, Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory, http://dx.doi.org/10.48550/arxiv.2011.05451

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, http://dx.doi.org/10.48550/arxiv.2007.06367

Ganesh M; Kuo FY; Sloan IH, 2020, Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media, http://dx.doi.org/10.48550/arxiv.2004.12268

Hamann J; Gia QTL; Sloan IH; Wang YG; Womersley RS, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org/10.48550/arxiv.1911.11442

Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2019, A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty, http://dx.doi.org/10.48550/arxiv.1910.10022

Back to profile page