Quoc Thong Le Gia

J. Sci. Comput., 2023

Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties.

[BibT_eX]

[DOI]

CoRR, 2023

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

[BibT_eX]

[DOI]

CoRR, 2023

Numerical solutions to an inverse problem for a non-linear Helmholtz equation.

[BibT_eX]

[DOI]

Hrushikesh N. Mhaskar

CoRR, 2023

2022

L2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data.

[BibT_eX]

[DOI]

Kerstin Hesse

J. Comput. Appl. Math., 2022

2021

Algorithm 1018: FaVeST - Fast Vector Spherical Harmonic Transforms.

[BibT_eX]

[DOI]

Ming Li

Yu Guang Wang

ACM Trans. Math. Softw., 2021

2020

Approximation of noisy data using multivariate splines and finite element methods.

[BibT_eX]

[DOI]

Elizabeth Harris

Bishnu P. Lamichhane

CoRR, 2020

2019

A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere.

[BibT_eX]

[DOI]

Yoshihito Kazashi

J. Complex., 2019

FaVeST: Fast Vector Spherical Harmonic Transforms.

[BibT_eX]

[DOI]

Ming Li

Yu Guang Wang

CoRR, 2019

Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2019

2017

Needlet approximation for isotropic random fields on the sphere.

[BibT_eX]

[DOI]

J. Approx. Theory, 2017

Zooming from global to local: a multiscale RBF approach.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2017

2016

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

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2016

Higher Order Quasi-Monte Carlo Integration for Holomorphic, Parametric Operator Equations.

[BibT_eX]

[DOI]

Josef Dick

Christoph Schwab

SIAM/ASA J. Uncertain. Quantification, 2016

Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains.

[BibT_eX]

[DOI]

Andrew Chernih

Adv. Comput. Math., 2016

2015

Fast QMC Matrix-Vector Multiplication.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

2014

Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Data compression on the sphere using multiscale radial basis function approximation.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2014

Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions.

[BibT_eX]

[DOI]

William McLean

Adv. Comput. Math., 2014

2012

Multiscale RBF collocation for solving PDEs on spheres.

[BibT_eX]

[DOI]

Numerische Mathematik, 2012

2011

Stability and preconditioning for a hybrid approximation on the sphere.

[BibT_eX]

[DOI]

Andrew J. Wathen

Numerische Mathematik, 2011

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

[BibT_eX]

[DOI]

Mahadevan Ganesh

Math. Comput., 2011

Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions.

[BibT_eX]

[DOI]

Ernst P. Stephan

Thanh Tran

Adv. Comput. Math., 2011

2010

Multiscale Analysis in Sobolev Spaces on the Sphere.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2010

Preconditioners for pseudodifferential equations on the sphere with radial basis functions.

[BibT_eX]

[DOI]

Numerische Mathematik, 2010

An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions.

[BibT_eX]

[DOI]

Thanh Tran

J. Complex., 2010

2009

Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere.

[BibT_eX]

[DOI]

Thanh Tran

Math. Comput., 2009

2008

Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere.

[BibT_eX]

[DOI]

Hrushikesh N. Mhaskar

SIAM J. Numer. Anal., 2008

2006

Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere.

[BibT_eX]

[DOI]

Hrushikesh N. Mhaskar

Numerische Mathematik, 2006

Continuous and discrete least-squares approximation by radial basis functions on spheres.

[BibT_eX]

[DOI]

J. Approx. Theory, 2006

2005

Approximation of parabolic PDEs on spheres using spherical basis functions.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2005

2004

Galerkin approximation for elliptic PDEs on spheres.

[BibT_eX]

[DOI]