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QuocThong LeGia
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Higher order QMC Petrov--Galerkin discretization for affine parametric operator equations with random field inputs
J Dick, FY Kuo, QT Le Gia, D Nuyens, C Schwab
SIAM Journal on Numerical Analysis 52 (6), 2676-2702, 2014
892014
Localized linear polynomial operators and quadrature formulas on the sphere
QT Le Gia, HN Mhaskar
SIAM Journal on Numerical Analysis, 440-466, 2008
632008
Multiscale analysis in Sobolev spaces on the sphere
QTL Gia, IH Sloan, H Wendland
SIAM journal on numerical analysis 48 (6), 2065-2090, 2010
602010
Multilevel higher order QMC Petrov--Galerkin discretization for affine parametric operator equations
J Dick, FY Kuo, QT Le Gia, C Schwab
SIAM Journal on Numerical Analysis 54 (4), 2541-2568, 2016
572016
Continuous and discrete least-squares approximation by radial basis functions on spheres
QT Le Gia, FJ Narcowich, JD Ward, H Wendland
Journal of Approximation Theory 143 (1), 124-133, 2006
472006
Multilevel higher-order quasi-Monte Carlo Bayesian estimation
J Dick, RN Gantner, QT Le Gia, C Schwab
Mathematical Models and Methods in Applied Sciences 27 (05), 953-995, 2017
392017
Higher order quasi--Monte Carlo integration for holomorphic, parametric operator equations
J Dick, QT Le Gia, C Schwab
SIAM/ASA Journal on Uncertainty Quantification 4 (1), 48-79, 2016
392016
Multiscale RBF collocation for solving PDEs on spheres
QT Le Gia, IH Sloan, H Wendland
Numerische Mathematik 121 (1), 99-125, 2012
392012
Spherical radial basis functions, theory and applications
S Hubbert, QT Lê Gia, TM Morton
Springer International Publishing, 2015
312015
Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere
QT Le Gia, IH Sloan, H Wendland
Applied and Computational Harmonic Analysis 32 (3), 401-412, 2012
302012
Galerkin approximation for elliptic PDEs on spheres
QT Le Gia
Journal of Approximation Theory 130 (2), 125-149, 2004
302004
Approximation of parabolic PDEs on spheres using spherical basis functions
QT Le Gia
Advances in Computational Mathematics 22 (4), 377-397, 2005
292005
Fully discrete needlet approximation on the sphere
YG Wang, QT Le Gia, IH Sloan, RS Womersley
Applied and Computational Harmonic Analysis 43 (2), 292-316, 2017
272017
Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere
QT Le Gia, HN Mhaskar
Numerische Mathematik 103 (2), 299-322, 2006
272006
A trade-off between domain knowledge and problem solving method power
P Compton, Z Ramadan, P Preston, T Le-Gia, V Chellen, M Mullholland
11th Banff KAW Proceeding, 1-19, 1998
231998
Higher order quasi-Monte Carlo integration for Bayesian estimation
J Dick, RN Gantner, QTL Gia, C Schwab
arXiv preprint arXiv:1602.07363, 2016
222016
The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions
T Le Gia, IH Sloan
Constructive approximation 17 (2), 249-265, 2001
212001
Preconditioners for pseudodifferential equations on the sphere with radial basis functions
T Tran, QT Le Gia, IH Sloan, EP Stephan
Numerische Mathematik 115 (1), 141-163, 2010
202010
Boundary integral equations on the sphere with radial basis functions: error analysis
T Tran, QT Le Gia, IH Sloan, EP Stephan
Applied numerical mathematics 59 (11), 2857-2871, 2009
202009
Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere
Q Le Gia, I Sloan, T Tran
Mathematics of Computation 78 (265), 79-101, 2009
182009
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