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High-dimensional integration: The quasi-Monte Carlo way

Acta numerica, 2013-05, Vol.22, p.133-288

2013

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Function integration, reconstruction and approximation using rank-1 lattices

Mathematics of computation, 2021-07, Vol.90 (330), p.1861-1897

2021

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Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation

Foundations of computational mathematics, 2016-12, Vol.16 (6), p.1631-1696

2016

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Constructing Sobol Sequences with Better Two-Dimensional Projections

SIAM journal on scientific computing, 2008-01, Vol.30 (5), p.2635-2654

2008

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QUASI-MONTE CARLO FINITE ELEMENT METHODS FOR A CLASS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

SIAM journal on numerical analysis, 2012-01, Vol.50 (6), p.3351-3374

2012

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Contemporary Computational Mathematics - a Celebration of the 80th Birthday of Ian Sloan

1st ed. 2018., 2018

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Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems

Mathematics of computation, 2017-11, Vol.86 (308), p.2827-2860

2017

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

Foundations of computational mathematics, 2015-04, Vol.15 (2), p.411-449

2015

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Fast random field generation with H-matrices

Numerische Mathematik, 2018-11, Vol.140 (3), p.639-676

2018

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HIGHER ORDER QMC PETROV–GALERKIN DISCRETIZATION FOR AFFINE PARAMETRIC OPERATOR EQUATIONS WITH RANDOM FIELD INPUTS

SIAM journal on numerical analysis, 2014-01, Vol.52 (6), p.2676-2702

2014

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

Numerische Mathematik, 2024-04, Vol.156 (2), p.565-608

2024

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Multilevel Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations

SIAM journal on numerical analysis, 2016-01, Vol.54 (4), p.2541-2568

2016

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

Numerische Mathematik, 2022, Vol.150 (1), p.33-77

2022

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

Journal of computational physics, 2021-10, Vol.443, p.110527, Article 110527

2021

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

Mathematics of computation, 2021-03, Vol.90 (328), p.787-812

2021

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Uncertainty quantification for random domains using periodic random variables

Numerische Mathematik, 2024-02, Vol.156 (1), p.273-317

2024

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ON THE EXPECTED UNIFORM ERROR OF BROWNIAN MOTION APPROXIMATED BY THE LÉVY–CIESIELSKI CONSTRUCTION

Bulletin of the Australian Mathematical Society, 2024-06, Vol.109 (3), p.581-593

2024

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The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth

Mathematics of computation, 2017-07, Vol.86 (306), p.1855-1876

2017

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Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients

Numerische Mathematik, 2018, Vol.140 (2), p.479-511

2018

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Correction to: Fast random field generation with H-matrices

Numerische Mathematik, 2019-07, Vol.142 (3), p.787-787

2019

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Constructing Embedded Lattice Rules for Multivariate Integration

SIAM journal on scientific computing, 2006-01, Vol.28 (6), p.2162-2188

2006

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Multivariate integration for analytic functions with Gaussian kernels

Mathematics of computation, 2017-03, Vol.86 (304), p.829-853

2017

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Correction to: Lattice Algorithms for Multivariate L∞ Approximation in the Worst-Case Setting

Constructive approximation, 2020, Vol.52 (1), p.177-179

2020

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Note on ``The smoothing effect of integration in \mathbb{R}^d and the ANOVA decomposition

Mathematics of computation, 2017-07, Vol.86 (306), p.1847-1854

2017

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Periodization strategy may fail in high dimensions

Numerical algorithms, 2007-12, Vol.46 (4), p.369-391

2007

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High-dimensional integration: The quasi-Monte Carlo way

Function integration, reconstruction and approximation using rank-1 lattices

Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation

Constructing Sobol Sequences with Better Two-Dimensional Projections

QUASI-MONTE CARLO FINITE ELEMENT METHODS FOR A CLASS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

Contemporary Computational Mathematics - a Celebration of the 80th Birthday of Ian Sloan

Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems

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

Fast random field generation with H-matrices

HIGHER ORDER QMC PETROV–GALERKIN DISCRETIZATION FOR AFFINE PARAMETRIC OPERATOR EQUATIONS WITH RANDOM FIELD INPUTS

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

Multilevel Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations

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

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

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

Uncertainty quantification for random domains using periodic random variables

ON THE EXPECTED UNIFORM ERROR OF BROWNIAN MOTION APPROXIMATED BY THE LÉVY–CIESIELSKI CONSTRUCTION

The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth

Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients

Correction to: Fast random field generation with H-matrices

Constructing Embedded Lattice Rules for Multivariate Integration

Multivariate integration for analytic functions with Gaussian kernels

Correction to: Lattice Algorithms for Multivariate L∞ Approximation in the Worst-Case Setting

Note on ``The smoothing effect of integration in \mathbb{R}^d and the ANOVA decomposition

Periodization strategy may fail in high dimensions

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