Ian H. Sloan

ORCID

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 53

Top Venues

CoRR

J. Complex.

Numerische Mathematik

Math. Comput.

Publications

Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan
Corrigendum: Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification 12 (1) (2024)
Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. Numerische Mathematik 156 (2) (2024)
Tareq Alodat, Quoc Thong Le Gia, Ian H. Sloan
On approximation for time-fractional stochastic diffusion equations on the unit sphere. J. Comput. Appl. Math. 446 (2024)
Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik 156 (1) (2024)
Jan Hamann, Quoc Thong Le Gia, Ian H. Sloan, Robert S. Womersley
Removing the mask - reconstructing a scalar field on the sphere from a masked field. CoRR (2023)
Frances Y. Kuo, Weiwen Mo, Dirk Nuyens, Ian H. Sloan, Abirami Srikumar
Comparison of Two Search Criteria for Lattice-based Kernel Approximation. CoRR (2023)
Min Zhong, Quoc Thong Le Gia, Ian H. Sloan
A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres. J. Sci. Comput. 94 (1) (2023)
Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions. CoRR (2023)
Ian H. Sloan, Vesa Kaarnioja
Doubling the rate - improved error bounds for orthogonal projection in Hilbert spaces. CoRR (2023)
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities. SIAM J. Numer. Anal. 61 (1) (2023)
Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. CoRR (2022)
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan, Abirami Srikumar
Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation. CoRR (2022)
Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Uncertainty quantification for random domains using periodic random variables. CoRR (2022)
Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Numerische Mathematik 150 (1) (2022)
Johann S. Brauchart, Peter J. Grabner, Ian H. Sloan, Robert S. Womersley
Needlets Liberated. CoRR (2022)
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
. Math. Comput. 91 (336) (2022)
Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty. SIAM/ASA J. Uncertain. Quantification 9 (2) (2021)
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$. CoRR (2021)
Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. Math. Comput. 90 (328) (2021)
Kerstin Hesse, Ian H. Sloan, Robert S. Womersley
Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. J. Comput. Appl. Math. 382 (2021)
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
Preintegration is not smoothing when monotonicity fails. CoRR (2021)
Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens, Ian H. Sloan
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. J. Comput. Phys. 443 (2021)
Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan
Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification 9 (1) (2021)
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration. CoRR (2021)
Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski
Editorial board announcements. J. Complex. 59 (2020)
Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Uncertainty Quantification Using Periodic Random Variables. SIAM J. Numer. Anal. 58 (2) (2020)
Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. CoRR (2020)
Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens, Ian H. Sloan
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. CoRR (2020)
Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. CoRR (2020)
Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo, Robert Scheichl, Ian H. Sloan
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Numerische Mathematik 142 (4) (2019)
Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. CoRR (2019)
Michael Feischl, Frances Y. Kuo, Ian H. Sloan
-matrices. Numerische Mathematik 142 (3) (2019)
Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. CoRR (2019)
Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty. CoRR (2019)
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Numerische Mathematik 140 (2) (2018)
Joseph Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski
New Members of the Editorial Board. J. Complex. 44 (2018)
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
Hiding the weights - CBC black box algorithms with a guaranteed error bound. Math. Comput. Simul. 143 (2018)
Michael Feischl, Frances Y. Kuo, Ian H. Sloan
-matrices. Numerische Mathematik 140 (3) (2018)
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields. SIAM J. Numer. Anal. 56 (3) (2018)
Andreas Griewank, Frances Y. Kuo, Hernan Leövey, Ian H. Sloan
High dimensional integration of kinks and jumps - Smoothing by preintegration. J. Comput. Appl. Math. 344 (2018)
Ian H. Sloan, Henryk Wozniakowski
Multivariate approximation for analytic functions with Gaussian kernels. J. Complex. 45 (2018)
Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski
Changes of the Editorial Board. J. Complex. 46 (2018)
Johann S. Brauchart, Alexander B. Reznikov, Edward B. Saff, Ian H. Sloan, Yuguang Wang, Robert S. Womersley
Random Point Sets on the Sphere - Hole Radii, Covering, and Separation. Exp. Math. 27 (1) (2018)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
and the ANOVA decomposition". Math. Comput. 86 (306) (2017)
Frances Y. Kuo, Robert Scheichl, Christoph Schwab, Ian H. Sloan, Elisabeth Ullmann
Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems. Math. Comput. 86 (308) (2017)
Quoc Thong Le Gia, Ian H. Sloan, Yuguang Wang, Robert S. Womersley
Needlet approximation for isotropic random fields on the sphere. J. Approx. Theory 216 (2017)
Frances Y. Kuo, Dirk Nuyens, Leszek Plaskota, Ian H. Sloan, Grzegorz W. Wasilkowski
Infinite-dimensional integration and the multivariate decomposition method. J. Comput. Appl. Math. 326 (2017)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Math. Comput. 86 (306) (2017)
Kerstin Hesse, Ian H. Sloan, Robert S. Womersley
Radial basis function approximation of noisy scattered data on the sphere. Numerische Mathematik 137 (3) (2017)
Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
Zooming from global to local: a multiscale RBF approach. Adv. Comput. Math. 43 (3) (2017)
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
Multivariate integration for analytic functions with Gaussian kernels. Math. Comput. 86 (304) (2017)
Hui Cao, Sergei V. Pereverzyev, Ian H. Sloan, Pavlo Tkachenko
Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Appl. Math. Comput. 273 (2016)
Erich Novak, Klaus Ritter, Ian H. Sloan, Henryk Wozniakowski
The Future of the Journal of Complexity. J. Complex. 32 (1) (2016)
Erich Novak, Klaus Ritter, Ian H. Sloan, Henryk Wozniakowski
Joseph F. Traub, the Founding Editor of the Journal of Complexity, dies at 83. J. Complex. 31 (6) (2015)
Frances Y. Kuo, Christoph Schwab, Ian H. Sloan
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients. Found. Comput. Math. 15 (2) (2015)
Erich Novak, Klaus Ritter, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Bernd Carl, Aicke Hinrichs, and Philipp Rudolph share the 2014 Best Paper Award. J. Complex. 31 (3) (2015)
Erich Novak, Ian H. Sloan, Klaus Ritter, Joseph F. Traub, Henryk Wozniakowski
Tino Ullrich Wins the 2014 Information-Based Complexity Young Researcher Award. J. Complex. 31 (2) (2015)
Ivan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Numerische Mathematik 131 (2) (2015)
Sergei V. Pereverzyev, Ian H. Sloan, Pavlo Tkachenko
Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere. SIAM J. Numer. Anal. 53 (2) (2015)
Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Christoph Aistleitner Wins the 2013 Information-Based Complexity Young Researcher Award. J. Complex. 30 (1) (2014)
Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Announcement. J. Complex. 30 (5) (2014)
Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley
Corrigendum: Regularized Least Squares Approximations on the Sphere Using Spherical Designs. SIAM J. Numer. Anal. 52 (4) (2014)
Johann S. Brauchart, Edward B. Saff, Ian H. Sloan, Robert S. Womersley
QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere. Math. Comput. 83 (290) (2014)
Andrew Chernih, Ian H. Sloan, Robert S. Womersley
Wendland functions with increasing smoothness converge to a Gaussian. Adv. Comput. Math. 40 (1) (2014)
Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Shu Tezuka, Joos Heintz, Bart Kuijpers, and Andrés Rojas Paredes Share the 2013 Best Paper Award. J. Complex. 30 (3) (2014)
Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Frances Kuo Wins the 2014 Information-Based Complexity Prize. J. Complex. 30 (4) (2014)
Josef Dick, Frances Y. Kuo, Ian H. Sloan
High-dimensional integration: The quasi-Monte Carlo way. Acta Numer. 22 (2013)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
and the ANOVA decomposition. Math. Comput. 82 (281) (2013)
Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Thomas Daun, Leszek Plaskota, Greg W. Wasilkowski Win the 2011 Best Paper Award. J. Complex. 28 (5-6) (2012)
Frances Y. Kuo, Christoph Schwab, Ian H. Sloan
Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients. SIAM J. Numer. Anal. 50 (6) (2012)
Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley
Regularized Least Squares Approximations on the Sphere Using Spherical Designs. SIAM J. Numer. Anal. 50 (3) (2012)
Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
Multiscale RBF collocation for solving PDEs on spheres. Numerische Mathematik 121 (1) (2012)
Ian H. Sloan
Polynomial approximation on spheres - generalizing de la Vallée-Poussin. Comput. Methods Appl. Math. 11 (4) (2011)
Mahadevan Ganesh, Quoc Thong Le Gia, Ian H. Sloan
A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres. Math. Comput. 80 (275) (2011)
Quoc Thong Le Gia, Ian H. Sloan, Andrew J. Wathen
Stability and preconditioning for a hybrid approximation on the sphere. Numerische Mathematik 118 (4) (2011)
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. J. Comput. Phys. 230 (10) (2011)
Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Aicke Hinrichs, Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich win the 2010 Best Paper Award. J. Complex. 27 (6) (2011)
C. K. Chan, Xiaojun Chen, Liqun Qi, Colin Rogers, Zhong-Ci Shi, Ian H. Sloan
Preface. J. Comput. Appl. Math. 235 (13) (2011)
Xiaoqun Wang, Ian H. Sloan
Quasi-Monte Carlo Methods in Financial Engineering: An Equivalence Principle and Dimension Reduction. Oper. Res. 59 (1) (2011)
Markus Hegland, Stefan Heinrich, Ian H. Sloan
Guest Editors' Preface. J. Complex. 26 (5) (2010)
Thanh Tran, Quoc Thong Le Gia, Ian H. Sloan, Ernst P. Stephan
Preconditioners for pseudodifferential equations on the sphere with radial basis functions. Numerische Mathematik 115 (1) (2010)
Michael Griebel, Frances Y. Kuo, Ian H. Sloan
The smoothing effect of the ANOVA decomposition. J. Complex. 26 (5) (2010)
Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski
Liberating the dimension. J. Complex. 26 (5) (2010)
Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Benjamin J. Waterhouse
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. J. Complex. 26 (2) (2010)
Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland
Multiscale Analysis in Sobolev Spaces on the Sphere. SIAM J. Numer. Anal. 48 (6) (2010)
Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski
On decompositions of multivariate functions. Math. Comput. 79 (270) (2010)
Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley
Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere. SIAM J. Numer. Anal. 48 (6) (2010)
Erich Novak, Ian H. Sloan, Joseph F. Traub, Henryk Wozniakowski
Changes to the Editorial Board. J. Complex. 25 (6) (2009)
Ian H. Sloan, Robert S. Womersley
A variational characterisation of spherical designs. J. Approx. Theory 159 (2) (2009)
Quoc Thong Le Gia, Ian H. Sloan, Thanh Tran
Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere. Math. Comput. 78 (265) (2009)
Ian H. Sloan, Holger Wendland
Inf-sup condition for spherical polynomials and radial basis functions on spheres. Math. Comput. 78 (267) (2009)
Ian H. Sloan, Alvise Sommariva
Approximation on the sphere using radial basis functions plus polynomials. Adv. Comput. Math. 29 (2) (2008)
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
Lattice rule algorithms for multivariate approximation in the average case setting. J. Complex. 24 (2) (2008)
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
Periodization strategy may fail in high dimensions. Numer. Algorithms 46 (4) (2007)
Kerstin Hesse, Hrushikesh N. Mhaskar, Ian H. Sloan
Quadrature in Besov spaces on the Euclidean sphere. J. Complex. 23 (4-6) (2007)
Josef Dick, Peter Kritzer, Frances Y. Kuo, Ian H. Sloan
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. J. Complex. 23 (4-6) (2007)
Kerstin Hesse, Frances Y. Kuo, Ian H. Sloan
A component-by-component approach to efficient numerical integration over products of spheres. J. Complex. 23 (1) (2007)
Kerstin Hesse, Ian H. Sloan
in Sobolev spaces of arbitrary order. J. Approx. Theory 141 (2) (2006)
Josef Dick, Ian H. Sloan, Xiaoqun Wang, Henryk Wozniakowski
Good Lattice Rules in Weighted Korobov Spaces with General Weights. Numerische Mathematik 103 (1) (2006)
Stephan Dahlke, Klaus Ritter, Ian H. Sloan, Joseph F. Traub
06391 Abstracts Collection -- Algorithms and Complexity for Continuous Problems. Algorithms and Complexity for Continuous Problems (2006)

Ian H. Sloan.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Ian H. Sloan