I. Sloan

发表

Lattice Methods for Multiple Integration

I. Sloan, 1994 .

Product integration with the Clenshaw-Curtis points: Implementation and error estimates

William E. Smith, W. E. Smith, I. Sloan, 1980 .

Product-integration with the Clenshaw-Curtis and related points

William E. Smith, W. E. Smith, I. Sloan, 1978 .

On the numerical evaluation of singular integrals

I. Sloan, 1978 .

The representation of lattice quadrature rules as multiple sums

J. N. Lyness, I. Sloan, 1989 .

Low discrepancy sequences in high dimensions: How well are their projections distributed?

I. Sloan, Xiaoqun Wang, 2008 .

Random Point Sets on the Sphere—Hole Radii, Covering, and Separation

Ian H. Sloan, Johann S. Brauchart, Robert S. Womersley, 2015, Exp. Math..

Quasi-Monte Carlo for Highly Structured Generalised Response Models

M. Wand, I. Sloan, R. Womersley, 2008 .

When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?

Henryk Wozniakowski, Ian H. Sloan, I. Sloan, 1998, J. Complex..

High dimensional integration of kinks and jumps - Smoothing by preintegration

Andreas Griewank, Frances Y. Kuo, Ian H. Sloan, 2017, J. Comput. Appl. Math..

Stability and preconditioning for a hybrid approximation on the sphere

Ian H. Sloan, Andrew J. Wathen, Quoc Thong Le Gia, 2010, Numerische Mathematik.

Quasi-Monte Carlo for finance applications

Benjamin J. Waterhouse, M. Giles, I. Sloan, 2008 .

Lattice methods for multiple integration: theory, error analysis and examples

I. Sloan, P. J. Kachoyan, 1987 .

Lattice Rules for Multivariate Approximation in the Worst Case Setting

I. Sloan, H. Wozniakowski, F. Kuo, 2006 .

Imbedded lattice rules for multidimensional integration

I. Sloan, S. Joe, 1992 .

Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere

Yu Guang Wang, I. Sloan, R. Womersley, 2020 .

Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere

Yu Guang Wang, I. Sloan, R. Womersley, 2018, 1801.03212.

Worst-Case Error for Unshifted Lattice Rules Without Randomisation

I. Sloan, F. Kuo, Yoshihito Kazashi, 2018, 1811.05676.

Derandomised lattice rules for high dimensional integration

I. Sloan, F. Kuo, Yoshihito Kazashi, 2019, 1903.05145.

Brownian bridge and principal component analysis: towards removing the curse of dimensionality

I. Sloan, Xiaoqun Wang, 2007 .

Quasi-Monte Carlo methods for computing flow in random porous media

I. Sloan, I. Graham, Robert Scheichl, 2010 .

QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND

I. Sloan, C. Schwab, F. Kuo, 2011, The ANZIAM Journal.

When Does Monte Carlo Depend Polynomially on the Number of Variables

I. Sloan, H. Wozniakowski, 2004 .

Polynomial interpolation and hyperinterpolation over general regions

Ian H. Sloan, I. Sloan, 1995 .

Good approximation on the sphere, with application to geodesy and the scattering of sound

I. Sloan, R. Womersley, 2002 .

Error analysis of boundary integral methods

Ian H. Sloan, I. Sloan, 1992, Acta Numerica.

An Unconventional Quadrature Method for Logarithmic-Kernel Integral Equations Equations on Closed Curves

Ian H. Sloan, I. Sloan, B. Burn, 1992 .

Quadrature methods for logarithmic-kernel integral equations on closed curves

Ian H. Sloan, I. Sloan, J. Saranen, 1992 .

On Filtered Polynomial Approximation on the Sphere

I. Sloan, Heping Wang, 2015, 1509.03792.

Integration and Approximation in High Dimensions – a Tutorial

I. Sloan, i. sloan, 2010 .

CORRECTION TO “QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND”

Frances Y. Kuo, Ian H. Sloan, Christoph Schwab, 2012, The ANZIAM Journal.

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

James A. Nichols, Frances Y. Kuo, Ian H. Sloan, 2014, Numerische Mathematik.

Collocation methods for the second kind integral equations with non-compact operators

I. Sloan, S. Amini, S. Amini, 1989 .

THE NUMERICAL SOLUTION OF FIRST-KIND LOGARITHMIC-KERNEL INTEGRAL EQUATIONS ON SMOOTH OPEN ARCS

Ian H. Sloan, Kendall E. Atkinson, I. Sloan, 1991 .

A Review of Numerical Methods for Fredholm Equations of the Second Kind

I. Sloan, 1980 .

Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere

Holger Wendland, Ian H. Sloan, I. Sloan, 2012 .

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

I. Sloan, Q. L. Gia, E. Stephan, 2009 .

Overlapping additive Schwarz preconditioners for interpolation on the unit sphere by spherical radial basis functions

I. Sloan, Q. L. Gia, T. Tran, 2008 .

N A ] 1 9 M ay 2 01 9 Uncertainty quantification using periodic random variables

I. Sloan, F. Kuo, V. Kaarnioja, 2019 .

Quasi-Monte Carlo Methods with Modified Vertex Weights

H. Niederreiter, I. Sloan, 1993 .

Fully discrete needlet approximation on the sphere

Yu Guang Wang, I. Sloan, R. Womersley, 2015, 1502.05806.

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients

I. Sloan, I. Graham, Robert Scheichl, 2016 .

HIM Trimester Program on Analysis and Numerics for High Dimensional Problems

I. Sloan, V. Pestov, M. Hegland, 2011 .

Tractability of Multivariate Integration for Weighted

I. Sloan, 2001 .

On Qualocation and Collocation Methods for Singular Integral Equations with Piecewise Continuous Coefficients, Using Continuous Splines on Quasi-uniform Meshes

R. D. Grigorieff, I. Sloan, R. Grigorieff, 2001 .

The Qualocation Method for Symm's Integral Equation on a Polygon

Ian H. Sloan, S. Prössdorf, I. Sloan, 1996 .

A fully discrete and symmetric boundary element method

I. Sloan, W. McLean, 1994 .

Wiener — Hopf Integral Equations: Finite Section Approximation and Projection Methods

A. Spence, I. Sloan, 1985 .

Semi-Discrete Galerkin Approximations for the Single-Layer Equation on Lipschitz Curves

Ian H. Sloan, Kendall E. Atkinson, I. Sloan, 1997 .

Optimal order integration on the sphere

I. Sloan, Kerstin Hesse, 2006 .

Four Variants of the Galerkin Method for Integral Equations of the Second Kind

I. Sloan, 1984 .

Multiple integration is intractable but not hopeless

I. Sloan, 2000, The ANZIAM Journal.

A New Probe of Gaussianity and Isotropy applied to the CMB Maps

Yu Guang Wang, I. Sloan, R. Womersley, 2019 .

Bounding the Spectral Gap for an Elliptic Eigenvalue Problem with Uniformly Bounded Stochastic Coefficients

Alexander D. Gilbert, I. Sloan, I. Graham, 2019, 1901.10470.

Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory pdf

Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, 2020, J. Comput. Phys..

A discrete method for the logarithmic-kernel integral equation on an open arc

I. Sloan, S. Prössdorf, J. Saranen, 1993, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

Changes to the Editorial Board

Henryk Wozniakowski, Erich Novak, Grzegorz W. Wasilkowski, 2018, J. Complex..

CORRECTION TO “QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND”

I. Sloan, C. Schwab, F. Kuo, 2012, The ANZIAM Journal.

Uncertainty Quantification Using Periodic Random Variables

I. Sloan, F. Kuo, V. Kaarnioja, 2019, SIAM J. Numer. Anal..

Changes to the Editorial Board

Henryk Wozniakowski, Erich Novak, Ian H. Sloan, 2018, J. Complex..

Tractability of Approximation for Weighted Korobov Spaces on Classical and Quantum Computers

E. Novak, I. Sloan, H. Wozniakowski, 2002, Found. Comput. Math..

Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration

I. Sloan, F. Kuo, A. D. Gilbert, 2021, ArXiv.

Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration

Philipp A. Guth, I. Sloan, Claudia Schillings, 2022, Numerische Mathematik.

Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration

I. Sloan, F. Kuo, A. D. Gilbert, 2021, ArXiv.

Analysis of preintegration followed by quasi-Monte Carlo integration for distribution functions and densities

I. Sloan, F. Kuo, A. D. Gilbert, 2021, 2112.10308.

Editorial board announcements

Henryk Wozniakowski, Erich Novak, Grzegorz W. Wasilkowski, 2020, J. Complex..

On the expected uniform error of geometric Brownian motion approximated by the L\'evy-Ciesielski construction

I. Sloan, M. Griebel, F. Kuo, 2017, 1706.00915.

Speeding up DFT: A new approach to k-point integration

Conrad W. Rosenbrock, Gus L. W. Hart, Ian H. Sloan, 2015 .

Quasi-Monte Carlo for ﬁnance applications

I. Sloan, M. Giles, F. Kuo, 2008 .

Infinite-dimensional integration and the multivariate decomposition method

I. Sloan, G. Wasilkowski, L. Plaskota, 2015, J. Comput. Appl. Math..

Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap

Ian H. Sloan, G. Monegato, I. Sloan, 1997 .

Radial basis function approximation of noisy scattered data on the sphere

I. Sloan, R. Womersley, Kerstin Hesse, 2017, Numerische Mathematik.

The multivariate decomposition method for infinite-dimensional integration

Grzegorz W. Wasilkowski, Frances Y. Kuo, Dirk Nuyens, 2015 .

Integral equation approach to electron-hydrogen collisions

E. J. Moore, I. Sloan, 1968 .

Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

I. Sloan, F. Nobile, F. Kuo, 2020, Numerische Mathematik.

A three-nucleon scattering calculation using perturbation theory

I. Sloan, 1972 .

SEPARABLE EXPANSIONS AND PERTURBATION THEORY FOR THREE-BODY COLLISIONS.

I. Sloan, 1972 .

Theory of neutron-deuteron break-up at 14.4 MeV

I. Sloan, R. Cahill, 1971 .

Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients

I. Sloan, I. Graham, Robert Scheichl, 2019, Numerische Mathematik.

On approximation for time-fractional stochastic diffusion equations on the unit sphere

I. Sloan, Q. L. Gia, T. Alodat, 2022, Journal of Computational and Applied Mathematics.

Zooming from global to local: a multiscale RBF approach

I. Sloan, H. Wendland, Q. L. Le Gia, 2016, Advances in Computational Mathematics.

Riemann Localisation on the Sphere

Yu Guang Wang, I. Sloan, R. Womersley, 2016, Journal of Fourier Analysis and Applications.

Riemann Localisation on the Sphere

Yu Guang Wang, I. Sloan, R. Womersley, 2015, 1510.06834.

Multiscale RBF collocation for solving PDEs on spheres

I. Sloan, H. Wendland, Q. L. Le Gia, 2011, Numerische Mathematik.

Changes to the Editorial Board

Henryk Wozniakowski, Erich Novak, Grzegorz W. Wasilkowski, 2018, Journal of Complexity.

Product-Integration Rules Based on the Zeros of Jacobi Polynomials

William E. Smith, I. Sloan, 1980 .

Fast random field generation with H-matrices

I. Sloan, F. Kuo, M. Feischl, 2018, Numerische Mathematik.

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

Frances Y. Kuo, Ian H. Sloan, Alexander D. Gilbert, 2021, Math. Comput..

Quasi-Monte Carlo Methods in Financial Engineering: An Equivalence Principle and Dimension Reduction

Ian H. Sloan, Xiaoqun Wang, I. Sloan, 2011, Oper. Res..

Efficient Weighted Lattice Rules with Applications to Finance

Ian H. Sloan, Xiaoqun Wang, I. Sloan, 2006, SIAM J. Sci. Comput..

Why Are High-Dimensional Finance Problems Often of Low Effective Dimension?

Ian H. Sloan, Xiaoqun Wang, I. Sloan, 2005, SIAM J. Sci. Comput..

Extrapolation of the iterated—collocation method for integral equations of the second kind

I. Sloan, Q. Lin, I. H. Sloan, 1990 .

Lattice integration rules of maximal rank formed by copying rank 1 rules

Ian H. Sloan, I. Sloan, Shaun Disney, 1992 .

The method of polarized orbitals for the elastic scattering of slow electrons by ionized helium and atomic hydrogen

I. Sloan, H. Massey, 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

Lifting the Curse of Dimensionality

Frances Y. Kuo, Ian H. Sloan, I. Sloan, 2005 .

Approximation on the sphere using radial basis functions plus polynomials

Alvise Sommariva, Ian H. Sloan, I. Sloan, 2008, Adv. Comput. Math..

Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data

Ian H. Sloan, Robert S. Womersley, Kerstin Hesse, 2021, J. Comput. Appl. Math..

Radial basis function approximation of noisy scattered data on the sphere

Ian H. Sloan, Robert S. Womersley, Kerstin Hesse, 2017, Numerische Mathematik.

Regularized Least Squares Approximations on the Sphere Using Spherical Designs

Xiaojun Chen, Congpei An, Ian H. Sloan, 2012, SIAM J. Numer. Anal..

Quadrature in Besov spaces on the Euclidean sphere

Ian H. Sloan, H. N. Mhaskar, Kerstin Hesse, 2007, J. Complex..

Preconditioners for pseudodifferential equations on the sphere with radial basis functions

Ian H. Sloan, Quoc Thong Le Gia, Thanh Tran, 2010, Numerische Mathematik.

Boundary integral equations on the sphere with radial basis functions: error analysis

Ian H. Sloan, Thanh Tran, Ernst P. Stephan, 2009 .

Needlet approximation for isotropic random fields on the sphere

Ian H. Sloan, Quoc Thong Le Gia, Robert S. Womersley, 2015, J. Approx. Theory.

High-dimensional integration: The quasi-Monte Carlo way*†

Frances Y. Kuo, Josef Dick, Ian H. Sloan, 2013, Acta Numerica.

Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems

Frances Y. Kuo, Ian H. Sloan, Elisabeth Ullmann, 2015, Math. Comput..

Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients

Frances Y. Kuo, Ian H. Sloan, Christoph Schwab, 2015, Foundations of Computational Mathematics.

Vector and tensor polarizations in nucleon-deuteron scattering

I. Sloan, J. Aarons, 1972 .

Phase parameters for nucleon-deuteron scattering

I. Sloan, 1971 .

Padé approximants and nucleon-deuteron scattering☆

I. Sloan, T. Brady, 1972 .

LEVINSON'S THEOREM AND S-WAVE NEUTRON--DEUTERON SCATTERING.

I. Sloan, 1971 .

Neutron-deuteron breakup models

I. Sloan, R. Cahill, 1970 .

MULTIPLE-SCATTERING ANALYSIS ON A SOLUBLE NEUTRON--DEUTERON MODEL.

I. Sloan, 1969 .

APPROXIMATION METHOD FOR THREE-BODY COLLISIONS.

I. Sloan, 1968 .

TENSOR FORCE IN THE SEPARABLE POTENTIAL MODEL OF NEUTRON--DEUTERON COLLISIONS.

I. Sloan, 1969 .

On choosing the points in product integration

I. Sloan, 1980 .

Separable expansions of thet-matrix

I. Sloan, J. Gray, 1973 .

The numerical evaluation of principal-value integrals

I. Sloan, 1968 .

Exact calculations of N-d polarization☆

I. Sloan, J. Aarons, P. Doleschall, 1972 .

Neutron-deuteron scattering with soft-core☆

I. Sloan, R. Cahill, 1970 .

UNITARY MODIFICATION OF THE IMPULSE-PICKUP APPROXIMATION.

I. Sloan, 1967 .

Separable expansion of the t-matrix in the 3S1-3D1 channel

I. Sloan, S. Adhikari, 1975 .

UNITARY MODIFICATIONS OF THE IMPULSE APPROXIMATION.

I. Sloan, 1967 .

Time discretization of an integro-differential equation of parabolic type

Vidar Thomée, Ian H. Sloan, V. Thomée, 1986 .

Optimal order spline methods for nonlinear differential and integro-differential equations

Ian H. Sloan, Mahadevan Ganesh, I. Sloan, 1999 .

Extremal Systems of Points and Numerical Integration on the Sphere

Ian H. Sloan, Robert S. Womersley, I. Sloan, 2004, Adv. Comput. Math..

Integration of nonperiodic functions of two variables by Fibonacci lattice rules

Harald Niederreiter, Ian H. Sloan, H. Niederreiter, 1994 .

Optimal lower bounds for cubature error on the sphere S2

Ian H. Sloan, Kerstin Hesse, I. Sloan, 2005, J. Complex..

Worst-case errors in a Sobolev space setting for cubature over the sphere $S^2$

Ian H. Sloan, Kerstin Hesse, I. Sloan, 2005 .

Lattice field computations via recursive numerical integration

I. Sloan, K. Jansen, F. Kuo, 2021, Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021).

Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory

Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, 2020, J. Comput. Phys..

Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights

Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, 2019, Math. Comput..

Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters pdf

Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, 2019, 75 Years of Mathematics of Computation.

Periodization strategy may fail in high dimensions

Henryk Wozniakowski, Frances Y. Kuo, Ian H. Sloan, 2007, Numerical Algorithms.

Construction algorithms for polynomial lattice rules for multivariate integration

Frances Y. Kuo, Josef Dick, Ian H. Sloan, 2005, Math. Comput..

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

Frances Y. Kuo, Stephen Joe, Ian H. Sloan, 2002, Math. Comput..

Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces

I. H. SLOAN, F. Y. KUO, S. JOE, 2002, SIAM J. Numer. Anal..

QMC Integration — Beating Intractability by Weighting the Coordinate Directions

Ian H. Sloan, I. Sloan, 2002 .

Component-by-component construction of good lattice rules

Ian H. Sloan, Andrew V. Reztsov, I. Sloan, 2002, Math. Comput..

Tractability of Multivariate Integration for Weighted Korobov Classes

Henryk Wozniakowski, Ian H. Sloan, I. Sloan, 2001, J. Complex..

A computer search of rank-2 lattice rules for multidimensional quadrature

Ian H. Sloan, I. Sloan, Linda Walsh, 1990 .

High-order numerical integration on the sphere and extremal point systems

I. Sloan, Kerstin Hesse, 2004 .

A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature

Dongwoo Sheen, Vidar Thomée, Ian H. Sloan, 2003 .

A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature

Dongwoo Sheen, Vidar Thomée, Ian H. Sloan, 2000, Math. Comput..

Discrete qualocation methods for logarithmic-kernel integral equations on a piecewise smooth boundary

Ian H. Sloan, Y. Jeon, Ernst P. Stephan, 1997, Adv. Comput. Math..

Implementation of a lattice method for numerical multiple integration

Stephen Joe, Ian H. Sloan, I. Sloan, 1993, TOMS.

NUMERICAL INTEGRATION IN HIGH DIMENSIONS - THE LATTICE RULE APPROACH

I. Sloan, 1992 .

Properties of Interpolatory Product Integration Rules

Ian H. Sloan, William E. Smith, W. E. Smith, 1982 .

Quadrature methods for integral equations of the second kind over infinite intervals

Ian H. Sloan, I. Sloan, 1981 .

Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients

Frances Y. Kuo, Ian H. Sloan, Christoph Schwab, 2012, 1208.6349.

LOCAL ERROR BOUNDS FOR POST-PROCESSED FINITE ELEMENT CALCULATIONS

Ian H. Sloan, I. Sloan, D. Kelly, 1999 .

Computable error bounds for pointwise derivatives of a Neumann problem

Ian H. Sloan, Song Wang, I. Sloan, 1998 .

Note on "The smoothing effect of integration in ℝd and the ANOVA decomposition"

Frances Y. Kuo, Michael Griebel, Ian H. Sloan, 2012, Math. Comput..

The smoothing effect of integration in Rd and the ANOVA decomposition

Frances Y. Kuo, Michael Griebel, Ian H. Sloan, 2013, Math. Comput..

On decompositions of multivariate functions

Henryk Wozniakowski, Grzegorz W. Wasilkowski, Frances Y. Kuo, 2009, Math. Comput..

Fast random field generation with H-matrices

Frances Y. Kuo, Ian H. Sloan, Michael Feischl, 2017, Numerische Mathematik.

Algorithms and Complexity for Continuous Problems, 24.09. - 29.09.2006

Klaus Ritter, Stephan Dahlke, Ian H. Sloan, 2007, Algorithms and Complexity for Continuous Problems.

The smoothing effect of the ANOVA decomposition

Frances Y. Kuo, Michael Griebel, Ian H. Sloan, 2010, J. Complex..

Separable operator expansions for the t-matrix

I. Sloan, S. Adhikari, 1975 .

Separable expansion of the t matrix with analytic form factors

I. Sloan, S. Adhikari, 1975 .

On the compactness of certain integral operators

I. Sloan, I. Graham, 1979 .

Method for Lippmann-Schwinger equations☆

I. Sloan, S. Adhikari, 1974 .

On integral equations of the first kind with logarithmic kernels

Ian H. Sloan, I. Sloan, Y. Yan, 1988 .

The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory

Ian H. Sloan, Alastair Spence, A. Spence, 1988 .

Sturmian expansion of the Coulomb t matrix

I. Sloan, 1973 .

Zooming from global to local: a multiscale RBF approach

Holger Wendland, Ian H. Sloan, Quoc Thong Le Gia, 2014, Advances in Computational Mathematics.

QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere

Ian H. Sloan, Johann S. Brauchart, Robert S. Womersley, 2012, Math. Comput..

Multiscale RBF collocation for solving PDEs on spheres

Holger Wendland, Ian H. Sloan, Quoc Thong Le Gia, 2012, Numerische Mathematik.

Multiscale Analysis in Sobolev Spaces on the Sphere

Holger Wendland, Ian H. Sloan, Quoc Thong Le Gia, 2010, SIAM J. Numer. Anal..

Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere

Ian H. Sloan, Quoc Thong Le Gia, Thanh Tran, 2009, Math. Comput..

Good Lattice Rules in Weighted Korobov Spaces with General Weights

Henryk Wozniakowski, Josef Dick, Ian H. Sloan, 2006, Numerische Mathematik.

Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ${\mathbb R}^3$

Ian H. Sloan, Ivan G. Graham, I. Sloan, 2002, Numerische Mathematik.

Constructive Polynomial Approximation on the Sphere

Ian H. Sloan, Robert S. Womersley, I. Sloan, 2000 .

Mesh grading for integral equations of the first kind with logarithmic kernel

I. Sloan, Y. Yan, 1989 .

The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Applications

Ian H. Sloan, Alastair Spence, A. Spence, 1988 .

Time discretization via Laplace transformation of an integro-differential equation of parabolic type

Vidar Thomée, William McLean, Ian H. Sloan, 2006, Numerische Mathematik.

Analysis of general quadrature methods for integral equations of the second kind

Ian H. Sloan, I. Sloan, 1981 .

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

James A. Nichols, Frances Y. Kuo, Ian H. Sloan, 2015, Numerische Mathematik.

Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands

Grzegorz W. Wasilkowski, Frances Y. Kuo, Ian H. Sloan, 2010, J. Complex..

Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere

Ian H. Sloan, Sergei V. Pereverzyev, Pavlo Tkachenko, 2015, SIAM J. Numer. Anal..

Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions

Ian H. Sloan, Sergei V. Pereverzyev, Hui Cao, 2015, Appl. Math. Comput..

Equations for Four-Particle Scattering

I. Sloan, 1972 .

Addendum: Spurious solutions to N-particle scattering equations

I. Sloan, C. Chandler, 1981 .

Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields

Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, 2017, SIAM J. Numer. Anal..

Method for the numerical solution of linear second-order differential equations

I. Sloan, 1968 .

Note errors in the numerov and Runge-Kutta methods

I. Sloan, 1968 .

Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions

I. Sloan, F. Kuo, V. Kaarnioja, 2023, ArXiv.

Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification

Frances Y. Kuo, Fabio Nobile, Ian H. Sloan, 2020, Numerische Mathematik.

Uncertainty quantification for random domains using periodic random variables

I. Sloan, H. Hakula, H. Harbrecht, 2022, arXiv.org.

A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty

Frances Y. Kuo, Ian H. Sloan, Vesa Kaarnioja, 2021, SIAM/ASA J. Uncertain. Quantification.

Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients

Frances Y. Kuo, Ian H. Sloan, Ivan G. Graham, 2018, Numerische Mathematik.

Cubature over the sphere S2 in Sobolev spaces of arbitrary order

Ian H. Sloan, Kerstin Hesse, I. Sloan, 2006, J. Approx. Theory.

Tractability of Tensor Product Linear Operators

Henryk Wozniakowski, Erich Novak, Ian H. Sloan, 1997, J. Complex..

On tractability of weighted integration over bounded and unbounded regions in Reals

Fred J. Hickernell, Grzegorz W. Wasilkowski, Ian H. Sloan, 2004, Math. Comput..

Essays on the Complexity of Continuous Problems

Erich Novak, Ian H. Sloan, Joseph F. Traub, 2009 .

A Quadrature-Based Approach to Improving the Collocation Method for Splines of Even Degree

Ian H. Sloan, Wolfgang L. Wendland, I. Sloan, 1989 .

Discrete orthogonal projections on multiple knot periodic splines

Ian H. Sloan, Rolf Dieter Grigorieff, R. D. Grigorieff, 2005, J. Approx. Theory.

Spline qualocation methods for variable-coefficient elliptic equations on curves

Ian H. Sloan, Wolfgang L. Wendland, I. Sloan, 1999, Numerische Mathematik.

Commutator properties for periodic splines

Ian H. Sloan, Wolfgang L. Wendland, I. Sloan, 1999 .

A Sinc Quadrature Method for the Double-Layer Integral Equation in Planar Domains with Corners

Ian H. Sloan, Frank Stenger, Rainer Kress, 1998 .

The Tolerant Qualocation Method for Variable- Coefficient Elliptic Equations on Curves

I. Sloan, Thanh Tran, 2001 .

A quadrature-based approach to improving the collocation method

Ian H. Sloan, I. Sloan, 1988 .

On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation

Ian H. Sloan, Rainer Kress, I. Sloan, 1993 .

A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres

Ian H. Sloan, Quoc Thong Le Gia, Mahadevan Ganesh, 2010, Math. Comput..

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

Vidar Thomée, Ian H. Sloan, Christian Lubich, 1996, Math. Comput..

Hyperinterpolation on the sphere

Ian H. Sloan, Kerstin Hesse, I. Sloan, 2006 .

The collocation method for mixed boundary value problems on domains with curved polygonal boundaries

Youngmok Jeon, Ian H. Sloan, Ernst P. Stephan, 1997 .

Quadrature method for singular integral equations on closed curves

I. Sloan, S. Prössdorf, 1992 .

Allegretto, Lin and Zhou Long-time Stability and Error Estimates

P. J. van der Houwen, J. Whiteman, I. Sloan, 1998 .

Qualocation for Boundary Integral Equations Using Splines with Multiple Knots

Ian H. Sloan, Rolf Dieter Grigorieff, R. D. Grigorieff, 2006 .

Superapproximation and Commutator Properties of Discrete Orthogonal Projections for Continuous Splines

Ian H. Sloan, Rolf Dieter Grigorieff, R. D. Grigorieff, 2000 .

Spline qualocation methods for boundary integral equations

Ian H. Sloan, I. Sloan, G. Chandler, 1992 .

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, 2011, J. Comput. Phys..

Multivariate integration for analytic functions with Gaussian kernels

Henryk Wozniakowski, Frances Y. Kuo, Ian H. Sloan, 2016, Math. Comput..

Efficient evaluation of highly oscillatory acoustic scattering surface integrals

Ian H. Sloan, Mahadevan Ganesh, I. Sloan, 2007 .

APPROXIMATION OF HIGH FREQUENCY ACOUSTIC WAVE SURFACE INTEGRALS

I. Sloan, M. Ganesh, S. Langdon, 2005 .

Wendland functions with increasing smoothness converge to a Gaussian

Ian H. Sloan, A. Chernih, Robert S. Womersley, 2012, Adv. Comput. Math..

A New Probe of Gaussianity and Isotropy for CMB Maps

I. Sloan, R. Womersley, J. Hamann, 2019, 1911.11442.

A fourth-order cubic spline method for linear second-order two-point boundary-value problems

Ian H. Sloan, Graeme Fairweather, I. Sloan, 1993 .

Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

I. Sloan, C. Schwab, F. Kuo, 2012, SIAM J. Numer. Anal..

A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres

I. Sloan, M. Zhong, Q. Gia, 2022, Journal of Scientific Computing.

Needlets Liberated

I. Sloan, R. Womersley, J. Brauchart, 2022, arXiv.org.

Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere

Xiaojun Chen, Congpei An, Ian H. Sloan, 2010, SIAM J. Numer. Anal..

A component-by-component approach to efficient numerical integration over products of spheres

Frances Y. Kuo, Ian H. Sloan, Kerstin Hesse, 2007, J. Complex..

Quasi-Monte Carlo methods can be efficient for integration over products of spheres

Frances Y. Kuo, Ian H. Sloan, I. Sloan, 2005, J. Complex..

How good can polynomial interpolation on the sphere be?

Ian H. Sloan, Robert S. Womersley, I. Sloan, 2001, Adv. Comput. Math..

On Filtered Polynomial Approximation on the Sphere

I. Sloan, Heping Wang, 2016, Journal of Fourier Analysis and Applications.

A new collocation-type method for Hammerstein integral equations

Ian H. Sloan, Sunil Kumar, I. Sloan, 1987 .

Variants of the Koksma-Hlawka inequality for vertex-modified quasi-Monte Carlo integration rules

H. Niederreiter, I. Sloan, 1996 .

Pointwise convergence of multiple Fourier series: Sufficient conditions and an application to numerical integration

I. Sloan, J. Price, 1992 .

Tolerant Qualocation A Qualocation Method for Boundary Integral Equations with Reduced Regularity Requirement

I. Sloan, Thanh Tran, 1998 .

Superconvergence in the Collocation and Qualocation Methods

I. Sloan, 1988 .

Doubling the rate - improved error bounds for orthogonal projection in Hilbert spaces

I. Sloan, V. Kaarnioja, 2023, ArXiv.

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

V. Thomée, I. Sloan, C. Lubich, 1996, Mathematics of Computation.

Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions

I. Sloan, F. Kuo, V. Kaarnioja, 2023, ArXiv.

A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty pdf

Frances Y. Kuo, Ian H. Sloan, Vesa Kaarnioja, 2019, ArXiv.

Uncertainty quantification for random domains using periodic random variables

I. Sloan, H. Hakula, H. Harbrecht, 2022, ArXiv.

MATHEMATICAL AND COMPUTATIONAL METHODS

I. Sloan, 1981 .

Product Integration Over Infinite Intervals I. Rules Based on the Zeros of Hermite Polynomials

Ian H. Sloan, William E. Smith, W. E. Smith, 1983 .

Component-by-component construction of good lattice rules

I. Sloan, A. V. Reztsov, 2002, Math. Comput..

Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media

Frances Y. Kuo, Ian H. Sloan, M. Ganesh, 2020, SIAM/ASA J. Uncertain. Quantification.

The ionization of neutral helium by electron impact

I. Sloan, 1965 .

Properties of Certain Trigonometric Series Arising in Numerical Analysis

Ian H. Sloan, Gavin Brown, G. A. Chandler, 1991 .

Product Integration in the Presence of a Singularity

Ian H. Sloan, Philip Rabinowitz, I. Sloan, 1984 .

A new approach to the numerical solution of integral equations

Ian H. Sloan, I. Sloan, B. Burn, 1975 .

LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE

I. Sloan, Q. L. Gia, Kerstin Hesse, 2008, Bulletin of the Australian Mathematical Society.

Lattice rule algorithms for multivariate approximation in the average case setting

Henryk Wozniakowski, Frances Y. Kuo, Ian H. Sloan, 2008, J. Complex..

Liberating the dimension

Henryk Wozniakowski, Grzegorz W. Wasilkowski, Frances Y. Kuo, 2010, J. Complex..

Comparison of Two Search Criteria for Lattice-based Kernel Approximation

I. Sloan, F. Kuo, Dirk Nuyens, 2023, ArXiv.

Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients

Frances Y. Kuo, Ian H. Sloan, Michael B. Giles, 2016, 1711.02437.

Spectral approximations for Weiner-Hopf operators

I. Sloan, P. Anselone, 1990 .

Numerical solutions of integral equations on the half line II

Ian H. Sloan, I. Sloan, P. Anselone, 1988 .

Integral equations on the half-line: a modified finite-section approximation

Ian H. Sloan, Alastair Spence, A. Spence, 1986 .

Projection Methods for Integral Equations on the Half-Line

Ian H. Sloan, Alastair Spence, A. Spence, 1986 .

Filtered hyperinterpolation: a constructive polynomial approximation on the sphere

Ian H. Sloan, Robert S. Womersley, I. Sloan, 2012 .

Multiple integration over bounded and unbounded regions

Ian H. Sloan, I. Sloan, T. Osborn, 1987 .