Ian H. Sloan

Orcid: 0000-0003-3769-0538

Affiliations:
  • University of New South Wales, Sydney, Australia


According to our database1, Ian H. Sloan authored at least 131 papers between 1993 and 2024.

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Bibliography

2024
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration.
Numerische Mathematik, April, 2024

Corrigendum: Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media.
SIAM/ASA J. Uncertain. Quantification, March, 2024

Uncertainty quantification for random domains using periodic random variables.
Numerische Mathematik, February, 2024

Removing the Mask - Reconstructing a Real-Valued Field on the Sphere from a Masked Field by Spherical Fourier Analysis.
SIAM J. Imaging Sci., 2024

On approximation for time-fractional stochastic diffusion equations on the unit sphere.
J. Comput. Appl. Math., 2024

2023
Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities.
SIAM J. Numer. Anal., February, 2023

A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres.
J. Sci. Comput., 2023

Removing the mask - reconstructing a scalar field on the sphere from a masked field.
CoRR, 2023

Doubling the rate - improved error bounds for orthogonal projection in Hilbert spaces.
CoRR, 2023

Comparison of Two Search Criteria for Lattice-based Kernel Approximation.
CoRR, 2023

Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions.
CoRR, 2023

2022
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification.
Numerische Mathematik, 2022

Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ<sup>d</sup>.
Math. Comput., 2022

Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation.
CoRR, 2022

Needlets Liberated.
CoRR, 2022

2021
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights.
Math. Comput., 2021

A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty.
SIAM/ASA J. Uncertain. Quantification, 2021

Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media.
SIAM/ASA J. Uncertain. Quantification, 2021

Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory.
J. Comput. Phys., 2021

Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data.
J. Comput. Appl. Math., 2021

Preintegration is not smoothing when monotonicity fails.
CoRR, 2021

Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration.
CoRR, 2021

Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$.
CoRR, 2021

2020
Uncertainty Quantification Using Periodic Random Variables.
SIAM J. Numer. Anal., 2020

Editorial board announcements.
J. Complex., 2020

Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters.
Proceedings of the 75 Years of Mathematics of Computation, 2020

2019
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients.
Numerische Mathematik, 2019

Correction to: Fast random field generation with <i>H</i>-matrices.
Numerische Mathematik, 2019

A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty.
CoRR, 2019

Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters.
CoRR, 2019

2018
Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields.
SIAM J. Numer. Anal., 2018

Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients.
Numerische Mathematik, 2018

Fast random field generation with <i>H</i>-matrices.
Numerische Mathematik, 2018

Hiding the weights - CBC black box algorithms with a guaranteed error bound.
Math. Comput. Simul., 2018

High dimensional integration of kinks and jumps - Smoothing by preintegration.
J. Comput. Appl. Math., 2018

Multivariate approximation for analytic functions with Gaussian kernels.
J. Complex., 2018

Changes of the Editorial Board.
J. Complex., 2018

New Members of the Editorial Board.
J. Complex., 2018

Random Point Sets on the Sphere - Hole Radii, Covering, and Separation.
Exp. Math., 2018

2017
Radial basis function approximation of noisy scattered data on the sphere.
Numerische Mathematik, 2017

Multivariate integration for analytic functions with Gaussian kernels.
Math. Comput., 2017

Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems.
Math. Comput., 2017

The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth.
Math. Comput., 2017

Note on "The smoothing effect of integration in ℝ<sup>d</sup> and the ANOVA decomposition".
Math. Comput., 2017

Infinite-dimensional integration and the multivariate decomposition method.
J. Comput. Appl. Math., 2017

Needlet approximation for isotropic random fields on the sphere.
J. Approx. Theory, 2017

Zooming from global to local: a multiscale RBF approach.
Adv. Comput. Math., 2017

2016
The Future of the Journal of Complexity.
J. Complex., 2016

Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions.
Appl. Math. Comput., 2016

2015
Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere.
SIAM J. Numer. Anal., 2015

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients.
Numerische Mathematik, 2015

Tino Ullrich Wins the 2014 Information-Based Complexity Young Researcher Award.
J. Complex., 2015

Bernd Carl, Aicke Hinrichs, and Philipp Rudolph share the 2014 Best Paper Award.
J. Complex., 2015

Joseph F. Traub, the Founding Editor of the Journal of Complexity, dies at 83.
J. Complex., 2015

Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients.
Found. Comput. Math., 2015

2014
Corrigendum: Regularized Least Squares Approximations on the Sphere Using Spherical Designs.
SIAM J. Numer. Anal., 2014

QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere.
Math. Comput., 2014

Announcement.
J. Complex., 2014

Christoph Aistleitner Wins the 2013 Information-Based Complexity Young Researcher Award.
J. Complex., 2014

Frances Kuo Wins the 2014 Information-Based Complexity Prize.
J. Complex., 2014

Shu Tezuka, Joos Heintz, Bart Kuijpers, and Andrés Rojas Paredes Share the 2013 Best Paper Award.
J. Complex., 2014

Wendland functions with increasing smoothness converge to a Gaussian.
Adv. Comput. Math., 2014

2013
The smoothing effect of integration in R<sup>d</sup> and the ANOVA decomposition.
Math. Comput., 2013

High-dimensional integration: The quasi-Monte Carlo way.
Acta Numer., 2013

2012
Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients.
SIAM J. Numer. Anal., 2012

Regularized Least Squares Approximations on the Sphere Using Spherical Designs.
SIAM J. Numer. Anal., 2012

Multiscale RBF collocation for solving PDEs on spheres.
Numerische Mathematik, 2012

Thomas Daun, Leszek Plaskota, Greg W. Wasilkowski Win the 2011 Best Paper Award.
J. Complex., 2012

2011
Stability and preconditioning for a hybrid approximation on the sphere.
Numerische Mathematik, 2011

A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres.
Math. Comput., 2011

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications.
J. Comput. Phys., 2011

Preface.
J. Comput. Appl. Math., 2011

Aicke Hinrichs, Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich win the 2010 Best Paper Award.
J. Complex., 2011

Quasi-Monte Carlo Methods in Financial Engineering: An Equivalence Principle and Dimension Reduction.
Oper. Res., 2011

Polynomial approximation on spheres - generalizing de la Vallée-Poussin.
Comput. Methods Appl. Math., 2011

2010
Multiscale Analysis in Sobolev Spaces on the Sphere.
SIAM J. Numer. Anal., 2010

Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere.
SIAM J. Numer. Anal., 2010

Preconditioners for pseudodifferential equations on the sphere with radial basis functions.
Numerische Mathematik, 2010

On decompositions of multivariate functions.
Math. Comput., 2010

Liberating the dimension.
J. Complex., 2010

Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands.
J. Complex., 2010

Guest Editors' Preface.
J. Complex., 2010

The smoothing effect of the ANOVA decomposition.
J. Complex., 2010

2009
Inf-sup condition for spherical polynomials and radial basis functions on spheres.
Math. Comput., 2009

Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere.
Math. Comput., 2009

Changes to the Editorial Board.
J. Complex., 2009

A variational characterisation of spherical designs.
J. Approx. Theory, 2009

2008
Lattice rule algorithms for multivariate approximation in the average case setting.
J. Complex., 2008

Approximation on the sphere using radial basis functions plus polynomials.
Adv. Comput. Math., 2008

2007
Periodization strategy may fail in high dimensions.
Numer. Algorithms, 2007

Quadrature in Besov spaces on the Euclidean sphere.
J. Complex., 2007

A component-by-component approach to efficient numerical integration over products of spheres.
J. Complex., 2007

Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels.
J. Complex., 2007

2006
Efficient Weighted Lattice Rules with Applications to Finance.
SIAM J. Sci. Comput., 2006

Time discretization via Laplace transformation of an integro-differential equation of parabolic type.
Numerische Mathematik, 2006

Good Lattice Rules in Weighted Korobov Spaces with General Weights.
Numerische Mathematik, 2006

Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions.
J. Complex., 2006

Guest Editors' preface.
J. Complex., 2006

Cubature over the sphere <i>S</i><sup>2</sup> in Sobolev spaces of arbitrary order.
J. Approx. Theory, 2006

06391 Abstracts Collection -- Algorithms and Complexity for Continuous Problems.
Proceedings of the Algorithms and Complexity for Continuous Problems, 24.09. - 29.09.2006, 2006

2005
Why Are High-Dimensional Finance Problems Often of Low Effective Dimension?.
SIAM J. Sci. Comput., 2005

A Piecewise Constant Algorithm for Weighted L<sub>1</sub> Approximation over Bounded or Unbounded Regions in R<sup>s</sup>.
SIAM J. Numer. Anal., 2005

Construction algorithms for polynomial lattice rules for multivariate integration.
Math. Comput., 2005

Quasi-Monte Carlo methods can be efficient for integration over products of spheres.
J. Complex., 2005

Optimal lower bounds for cubature error on the sphere <i>S</i><sup>2</sup>.
J. Complex., 2005

Discrete orthogonal projections on multiple knot periodic splines.
J. Approx. Theory, 2005

2004
On Korobov Lattice Rules in Weighted Spaces.
SIAM J. Numer. Anal., 2004

On strong tractability of weighted multivariate integration.
Math. Comput., 2004

On tractability of weighted integration over bounded and unbounded regions in Real<sup>s</sup>.
Math. Comput., 2004

Finite-order weights imply tractability of multivariate integration.
J. Complex., 2004

Liberating the weights.
J. Complex., 2004

Tractability of Approximation for Weighted Korobov Spaces on Classical and Quantum Computers.
Found. Comput. Math., 2004

Extremal Systems of Points and Numerical Integration on the Sphere.
Adv. Comput. Math., 2004

2002
Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces.
SIAM J. Numer. Anal., 2002

Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ℝ<sup>3</sup>.
Numerische Mathematik, 2002

Component-by-component construction of good lattice rules.
Math. Comput., 2002

On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces.
Math. Comput., 2002

Tractability of Integration in Non-periodic and Periodic Weighted Tensor Product Hilbert Spaces.
J. Complex., 2002

2001
Tractability of Multivariate Integration for Weighted Korobov Classes.
J. Complex., 2001

ANNOUNCEMENT: 2001 Best Paper Award Committee.
J. Complex., 2001

How good can polynomial interpolation on the sphere be?
Adv. Comput. Math., 2001

2000
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature.
Math. Comput., 2000

1999
Spline qualocation methods for variable-coefficient elliptic equations on curves.
Numerische Mathematik, 1999

1998
When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?
J. Complex., 1998

1997
An intractability result for multiple integration.
Math. Comput., 1997

Tractability of Tensor Product Linear Operators.
J. Complex., 1997

Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary.
Adv. Comput. Math., 1997

1996
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term.
Math. Comput., 1996

Minimal cubature formulae of trigonometric degree.
Math. Comput., 1996

1993
Implementation of a lattice method for numerical multiple integration.
ACM Trans. Math. Softw., 1993

Random Number Generation and Quasi-Monte Carlo Methods (H, Niederreiter).
SIAM Rev., 1993


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