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Quoc Thong Le Gia
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- affiliation: University of New South Wales, School of Mathematics and Statistics, Sydney, NSW, Australia
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2020 – today
- 2024
- [j29]Tareq Alodat, Quoc Thong Le Gia
, Ian H. Sloan
On approximation for time-fractional stochastic diffusion equations on the unit sphere. J. Comput. Appl. Math. 446: 115863 (2024) - [j28]Jan Hamann, Quoc Thong Le Gia
Removing the Mask - Reconstructing a Real-Valued Field on the Sphere from a Masked Field by Spherical Fourier Analysis. SIAM J. Imaging Sci. 17(3): 1820-1843 (2024) - [i7]Josef Dick, Quoc Thong Le Gia, William McLean, Kassem Mustapha, T. Tran:
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. CoRR abs/2402.11545 (2024) - [i6]K. A. Mustapha, William McLean, Josef Dick, Quoc Thong Le Gia:
A Locking-free modified conforming FEM for planar elasticity. CoRR abs/2407.06831 (2024) - 2023
- [j27]Min Zhong, Quoc Thong Le Gia, Ian H. Sloan
A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres. J. Sci. Comput. 94(1): 22 (2023) - [i5]Quoc Thong Le Gia, Hrushikesh N. Mhaskar:
Numerical solutions to an inverse problem for a non-linear Helmholtz equation. CoRR abs/2302.01475 (2023) - [i4]Jan Hamann, Quoc Thong Le Gia, Ian H. Sloan
Removing the mask - reconstructing a scalar field on the sphere from a masked field. CoRR abs/2309.14815 (2023) - [i3]Josef Dick, Quoc Thong Le Gia, Kassem Mustapha, Thanh Tran:
Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties. CoRR abs/2310.06187 (2023) - 2022
- [j26]Kerstin Hesse
L2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. J. Comput. Appl. Math. 408: 114118 (2022) - 2021
- [j25]Quoc Thong Le Gia, Ming Li
Algorithm 1018: FaVeST - Fast Vector Spherical Harmonic Transforms. ACM Trans. Math. Softw. 47(4): 39:1-39:24 (2021) - 2020
- [i2]Elizabeth Harris, Bishnu P. Lamichhane, Quoc Thong Le Gia:
Approximation of noisy data using multivariate splines and finite element methods. CoRR abs/2003.01263 (2020)
2010 – 2019
- 2019
- [j24]Josef Dick
Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion. Comput. Math. Appl. 77(1): 144-172 (2019) - [j23]Yoshihito Kazashi, Quoc Thong Le Gia
A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere. J. Complex. 50: 43-65 (2019) - [i1]Quoc Thong Le Gia, Ming Li, Yu Guang Wang
FaVeST: Fast Vector Spherical Harmonic Transforms. CoRR abs/1908.00041 (2019) - 2017
- [j22]Quoc Thong Le Gia
Zooming from global to local: a multiscale RBF approach. Adv. Comput. Math. 43(3): 581-606 (2017) - [j21]Quoc Thong Le Gia
Needlet approximation for isotropic random fields on the sphere. J. Approx. Theory 216: 86-116 (2017) - 2016
- [j20]Andrew Chernih, Quoc Thong Le Gia
Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains. Adv. Comput. Math. 42(5): 1187-1208 (2016) - [j19]Josef Dick
Higher Order Quasi-Monte Carlo Integration for Holomorphic, Parametric Operator Equations. SIAM/ASA J. Uncertain. Quantification 4(1): 48-79 (2016) - [j18]Josef Dick
Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations. SIAM J. Numer. Anal. 54(4): 2541-2568 (2016) - 2015
- [j17]Josef Dick
Fast QMC Matrix-Vector Multiplication. SIAM J. Sci. Comput. 37(3) (2015) - 2014
- [j16]Quoc Thong Le Gia
Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions. Adv. Comput. Math. 40(2): 353-375 (2014) - [j15]Quoc Thong Le Gia
Data compression on the sphere using multiscale radial basis function approximation. Adv. Comput. Math. 40(4): 923-943 (2014) - [j14]Josef Dick
Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. SIAM J. Numer. Anal. 52(6): 2676-2702 (2014) - 2012
- [j13]Quoc Thong Le Gia
Multiscale RBF collocation for solving PDEs on spheres. Numerische Mathematik 121(1): 99-125 (2012) - 2011
- [j12]Quoc Thong Le Gia
Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions. Adv. Comput. Math. 34(1): 83-103 (2011) - [j11]Mahadevan Ganesh
A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres. Math. Comput. 80(275): 1397-1430 (2011) - [j10]Quoc Thong Le Gia
Stability and preconditioning for a hybrid approximation on the sphere. Numerische Mathematik 118(4): 695-711 (2011) - 2010
- [j9]Quoc Thong Le Gia
An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions. J. Complex. 26(5): 552-573 (2010) - [j8]Thanh Tran, Quoc Thong Le Gia
Preconditioners for pseudodifferential equations on the sphere with radial basis functions. Numerische Mathematik 115(1): 141-163 (2010) - [j7]Quoc Thong Le Gia
Multiscale Analysis in Sobolev Spaces on the Sphere. SIAM J. Numer. Anal. 48(6): 2065-2090 (2010)
2000 – 2009
- 2009
- [j6]Quoc Thong Le Gia, Ian H. Sloan
Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere. Math. Comput. 78(265): 79-101 (2009) - 2008
- [j5]Quoc Thong Le Gia
Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere. SIAM J. Numer. Anal. 47(1): 440-466 (2008) - 2006
- [j4]Quoc Thong Le Gia
Continuous and discrete least-squares approximation by radial basis functions on spheres. J. Approx. Theory 143(1): 124-133 (2006) - [j3]Quoc Thong Le Gia
Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere. Numerische Mathematik 103(2): 299-322 (2006) - 2005
- [j2]Quoc Thong Le Gia
Approximation of parabolic PDEs on spheres using spherical basis functions. Adv. Comput. Math. 22(4): 377-397 (2005) - 2004
- [j1]Quoc Thong Le Gia
Galerkin approximation for elliptic PDEs on spheres. J. Approx. Theory 130(2): 125-149 (2004)
Coauthor Index
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