Galerkin approximation for elliptic PDEs on spheres. - Quoc Thong Le Gia (J. Approx. Theory, 2004)

Approximation of parabolic PDEs on spheres using spherical basis functions. - Quoc Thong Le Gia (Adv. Comput. Math., 2005)

Continuous and discrete least-squares approximation by radial basis functions on spheres. - Quoc Thong Le Gia; Francis J. Narcowich; Joseph D. Ward; Holger Wendland (J. Approx. Theory, 2006)

Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere. - Quoc Thong Le Gia; Hrushikesh N. Mhaskar (Numerische Mathematik, 2006)

Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere. - Quoc Thong Le Gia; Hrushikesh N. Mhaskar (SIAM J. Numer. Anal., 2008)

Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere. - Quoc Thong Le Gia; Ian H. Sloan; Thanh Tran 003 (Math. Comput., 2009)

An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions. - Quoc Thong Le Gia; Thanh Tran 003 (J. Complex., 2010)

Preconditioners for pseudodifferential equations on the sphere with radial basis functions. - Thanh Tran 003; Quoc Thong Le Gia; Ian H. Sloan; Ernst P. Stephan (Numerische Mathematik, 2010)

Multiscale Analysis in Sobolev Spaces on the Sphere. - Quoc Thong Le Gia; Ian H. Sloan; Holger Wendland (SIAM J. Numer. Anal., 2010)

Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions. - Quoc Thong Le Gia; Ernst P. Stephan; Thanh Tran 003 (Adv. Comput. Math., 2011)

A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres. - Mahadevan Ganesh; Quoc Thong Le Gia; Ian H. Sloan (Math. Comput., 2011)

Stability and preconditioning for a hybrid approximation on the sphere. - Quoc Thong Le Gia; Ian H. Sloan; Andrew J. Wathen (Numerische Mathematik, 2011)

Multiscale RBF collocation for solving PDEs on spheres. - Quoc Thong Le Gia; Ian H. Sloan; Holger Wendland (Numerische Mathematik, 2012)

Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions. - Quoc Thong Le Gia; William McLean (Adv. Comput. Math., 2014)

Data compression on the sphere using multiscale radial basis function approximation. - Quoc Thong Le Gia; Holger Wendland (Adv. Comput. Math., 2014)

Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. - Josef Dick; Frances Y. Kuo; Quoc Thong Le Gia; Dirk Nuyens; Christoph Schwab (SIAM J. Numer. Anal., 2014)

Fast QMC Matrix-Vector Multiplication. - Josef Dick; Frances Y. Kuo; Quoc Thong Le Gia; Christoph Schwab (SIAM J. Sci. Comput., 2015)

Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains. - Andrew Chernih; Quoc Thong Le Gia (Adv. Comput. Math., 2016)

Higher Order Quasi-Monte Carlo Integration for Holomorphic, Parametric Operator Equations. - Josef Dick; Quoc Thong Le Gia; Christoph Schwab (SIAM/ASA J. Uncertain. Quantification, 2016)

Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations. - Josef Dick; Frances Y. Kuo; Quoc Thong Le Gia; Christoph Schwab (SIAM J. Numer. Anal., 2016)

Zooming from global to local: a multiscale RBF approach. - Quoc Thong Le Gia; Ian H. Sloan; Holger Wendland (Adv. Comput. Math., 2017)

Needlet approximation for isotropic random fields on the sphere. - Quoc Thong Le Gia; Ian H. Sloan; Yuguang Wang 001; Robert S. Womersley (J. Approx. Theory, 2017)

Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion. - Josef Dick; Robert N. Gantner; Quoc Thong Le Gia; Christoph Schwab (Comput. Math. Appl., 2019)

FaVeST: Fast Vector Spherical Harmonic Transforms. - Quoc Thong Le Gia; Ming Li 065; Yu Guang Wang 001 (CoRR, 2019)

A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere. - Yoshihito Kazashi; Quoc Thong Le Gia (J. Complex., 2019)

Approximation of noisy data using multivariate splines and finite element methods. - Elizabeth Harris; Bishnu P. Lamichhane; Quoc Thong Le Gia (CoRR, 2020)

Algorithm 1018: FaVeST - Fast Vector Spherical Harmonic Transforms. - Quoc Thong Le Gia; Ming Li 065; Yu Guang Wang 001 (ACM Trans. Math. Softw., 2021)

L2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. - Kerstin Hesse; Quoc Thong Le Gia (J. Comput. Appl. Math., 2022)

Numerical solutions to an inverse problem for a non-linear Helmholtz equation. - Quoc Thong Le Gia; Hrushikesh N. Mhaskar (CoRR, 2023)

Removing the mask - reconstructing a scalar field on the sphere from a masked field. - Jan Hamann; Quoc Thong Le Gia; Ian H. Sloan; Robert S. Womersley (CoRR, 2023)

Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties. - Josef Dick; Quoc Thong Le Gia; Kassem Mustapha 001; Thanh Tran 003 (CoRR, 2023)

A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres. - Min Zhong 003; Quoc Thong Le Gia; Ian H. Sloan (J. Sci. Comput., 2023)

High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. - Josef Dick; Quoc Thong Le Gia; William McLean; Kassem Mustapha 001; T. Tran (CoRR, 2024)

A Locking-free modified conforming FEM for planar elasticity. - K. A. Mustapha 001; William McLean; Josef Dick; Quoc Thong Le Gia (CoRR, 2024)

On approximation for time-fractional stochastic diffusion equations on the unit sphere. - Tareq Alodat; Quoc Thong Le Gia; Ian H. Sloan (J. Comput. Appl. Math., 2024)

Removing the Mask - Reconstructing a Real-Valued Field on the Sphere from a Masked Field by Spherical Fourier Analysis. - Jan Hamann; Quoc Thong Le Gia; Ian H. Sloan; Robert S. Womersley (SIAM J. Imaging Sci., 2024)