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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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Fast Algorithms for Component-by-Component Construction of Rank-1 Lattice Rules in Shift-Invariant Reproducing Kernel Hilbert Spaces

Mathematics of computation, 2006-04, Vol.75 (254), p.903-920

2006

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Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014

1, 2016

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An encyclopaedia of cubature formulas

Journal of Complexity, 2003-06, Vol.19 (3), p.445-453

Cools, Ronald

2003

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CHEBINT: A MATLAB/Octave toolbox for fast multivariate integration and interpolation based on chebyshev approximations over hypercubes

ACM transactions on mathematical software, 2013-09, Vol.40 (1), p.1-13

2013

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Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions

Journal of Complexity, 2016-10, Vol.36, p.166-181

2016

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An adaptive numerical cubature algorithm for simplices

ACM transactions on mathematical software, 2003-09, Vol.29 (3), p.297-308

2003

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Transforming low-discrepancy sequences from a cube to a simplex

Journal of computational and applied mathematics, 2005-02, Vol.174 (1), p.29-42

2005

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Reconstruction and Collocation of a Class of Non-periodic Functions by Sampling Along Tent-Transformed Rank-1 Lattices

The Journal of fourier analysis and applications, 2016-02, Vol.22 (1), p.187-214

2016

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CHEBINT: A MATLAB/Octave Toolbox for Fast Multivariate Integration and Interpolation Based on Chebyshev Approximations over Hypercubes

ACM transactions on mathematical software, 2014, Vol.40 (1)

2014

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Some Results on the Complexity of Numerical Integration

Monte Carlo and Quasi-Monte Carlo Methods, p.161-183

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Advances in multidimensional integration

Journal of computational and applied mathematics, 2002-12, Vol.149 (1), p.1-12

Cools, Ronald

2002

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Monomial cubature rules since “Stroud”: a compilation — part 2

Journal of computational and applied mathematics, 1999-11, Vol.112 (1), p.21-27

Cools, Ronald

1999

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Chebyshev lattices, a unifying framework for cubature with Chebyshev weight function

BIT (Nordisk Tidskrift for Informationsbehandling), 2011-06, Vol.51 (2), p.275-288

2011

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ON GENERALIZED GAUSSIAN QUADRATURE RULES FOR SINGULAR AND NEARLY SINGULAR INTEGRALS

SIAM journal on numerical analysis, 2009-01, Vol.47 (1), p.719-739

2009

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Integrating products of Bessel functions with an additional exponential or rational factor

Computer physics communications, 2008-04, Vol.178 (8), p.578-590

2008

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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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On the convergence of quasi-random sampling/importance resampling

Mathematics and computers in simulation, 2010-11, Vol.81 (3), p.490-505

2010

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Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree

Mathematics of computation, 2001-10, Vol.70 (236), p.1549-1567

2001

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Conditional Sampling for Barrier Option Pricing under the LT Method

SIAM journal on financial mathematics, 2013-01, Vol.4 (1), p.327-352

2013

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ON GENERALIZED GAUSSIAN QUADRATURE RULES FOR SINGULAR AND NEARLY SINGULAR INTEGRALS

SIAM journal on numerical analysis, 2010, Vol.47 (1), p.719-739

2010

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Extended exponentially fitted interpolation formulas for oscillatory functions

Applied mathematics and computation, 2013-11, Vol.224, p.178-195

2013

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Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014

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Good permutations for deterministic scrambled Halton sequences in terms of L2-discrepancy

Journal of computational and applied mathematics, 2006-05, Vol.189 (1-2), p.341-361

2006

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Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points

Journal of Complexity, 2006-02, Vol.22 (1), p.4-28

2006

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

Fast Algorithms for Component-by-Component Construction of Rank-1 Lattice Rules in Shift-Invariant Reproducing Kernel Hilbert Spaces

Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014

An encyclopaedia of cubature formulas

CHEBINT: A MATLAB/Octave toolbox for fast multivariate integration and interpolation based on chebyshev approximations over hypercubes

Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions

An adaptive numerical cubature algorithm for simplices

Transforming low-discrepancy sequences from a cube to a simplex

Reconstruction and Collocation of a Class of Non-periodic Functions by Sampling Along Tent-Transformed Rank-1 Lattices

CHEBINT: A MATLAB/Octave Toolbox for Fast Multivariate Integration and Interpolation Based on Chebyshev Approximations over Hypercubes

Some Results on the Complexity of Numerical Integration

Advances in multidimensional integration

Monomial cubature rules since “Stroud”: a compilation — part 2

Chebyshev lattices, a unifying framework for cubature with Chebyshev weight function

ON GENERALIZED GAUSSIAN QUADRATURE RULES FOR SINGULAR AND NEARLY SINGULAR INTEGRALS

Integrating products of Bessel functions with an additional exponential or rational factor

Constructing Embedded Lattice Rules for Multivariate Integration

On the convergence of quasi-random sampling/importance resampling

Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree

Conditional Sampling for Barrier Option Pricing under the LT Method

ON GENERALIZED GAUSSIAN QUADRATURE RULES FOR SINGULAR AND NEARLY SINGULAR INTEGRALS

Extended exponentially fitted interpolation formulas for oscillatory functions

Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014

Good permutations for deterministic scrambled Halton sequences in terms of L2-discrepancy

Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points

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