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

Journal of computational physics, 2011-05, Vol.230 (10), p.3668-3694

2011

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

Numerische Mathematik, 2019-08, Vol.142 (4), p.863-915

2019

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

Mathematics of computation, 2014-11, Vol.83 (290), p.2821-2851

2014

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Component-by-component construction of good lattice rules

Mathematics of computation, 2002-01, Vol.71 (237), p.263-273

2002

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Construction algorithms for polynomial lattice rules for multivariate integration

Mathematics of computation, 2005-10, Vol.74 (252), p.1895-1921

2005

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Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces

SIAM journal on numerical analysis, 2002-01, Vol.40 (5), p.1650-1665

2002

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

Mathematics of computation, 2011-07, Vol.80 (275), p.1397-1430

2011

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ON DECOMPOSITIONS OF MULTIVARIATE FUNCTIONS

Mathematics of computation, 2010-04, Vol.79 (270), p.953-966

2010

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Wendland functions with increasing smoothness converge to a Gaussian

Advances in computational mathematics, 2014-02, Vol.40 (1), p.185-200

2014

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

Mathematics of computation, 2002-10, Vol.71 (240), p.1609-1640

2002

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PARAMETER CHOICE STRATEGIES FOR LEAST-SQUARES APPROXIMATION OF NOISY SMOOTH FUNCTIONS ON THE SPHERE

SIAM journal on numerical analysis, 2015-01, Vol.53 (2), p.820-835

2015

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Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere

Mathematics of computation, 2009-01, Vol.78 (265), p.79-101

2009

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Efficient evaluation of highly oscillatory acoustic scattering surface integrals

Journal of computational and applied mathematics, 2007-07, Vol.204 (2), p.363-374

2007

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A new probe of Gaussianity and isotropy with application to cosmic microwave background maps

International journal of modern physics. C, Computational physics, physical computation, 2021-06, Vol.32 (6), p.2150084

2021

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Zooming from global to local: a multiscale RBF approach

Advances in computational mathematics, 2017-06, Vol.43 (3), p.581-606

2017

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

The ANZIAM journal, 2011-07, Vol.53 (1), p.1-37

2011

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MULTISCALE ANALYSIS IN SOBOLEV SPACES ON THE SPHERE

SIAM journal on numerical analysis, 2010-01, Vol.48 (6), p.2065-2090

2010

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

Applied and computational harmonic analysis, 2012-05, Vol.32 (3), p.401-412

2012

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

Mathematics of computation, 1996-01, Vol.65 (213), p.1-17

1996

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

Mathematics of computation, 2000-01, Vol.69 (229), p.177-195

2000

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Superconvergence in Finite Element Methods and Meshes that are Locally Symmetric with Respect to a Point

SIAM journal on numerical analysis, 1996-04, Vol.33 (2), p.505-521

1996

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

1st ed. 2018., 2018

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An intractability result for multiple integration

Mathematics of computation, 1997-07, Vol.66 (219), p.1119-1124

1997

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

SIAM journal on numerical analysis, 1997-12, Vol.34 (6), p.2288-2305

1997

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The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions

Constructive approximation, 2001, Vol.17 (2), p.249-265

2001

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

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

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

Component-by-component construction of good lattice rules

Construction algorithms for polynomial lattice rules for multivariate integration

Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces

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

ON DECOMPOSITIONS OF MULTIVARIATE FUNCTIONS

Wendland functions with increasing smoothness converge to a Gaussian

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

PARAMETER CHOICE STRATEGIES FOR LEAST-SQUARES APPROXIMATION OF NOISY SMOOTH FUNCTIONS ON THE SPHERE

Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere

Efficient evaluation of highly oscillatory acoustic scattering surface integrals

A new probe of Gaussianity and isotropy with application to cosmic microwave background maps

Zooming from global to local: a multiscale RBF approach

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

MULTISCALE ANALYSIS IN SOBOLEV SPACES ON THE SPHERE

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

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

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

Superconvergence in Finite Element Methods and Meshes that are Locally Symmetric with Respect to a Point

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

An intractability result for multiple integration

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

The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions

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