By Dr Quoc Thong Le Gia

Journal articles

Alodat T; Le Gia QT; Sloan IH, 2024, 'On approximation for time-fractional stochastic diffusion equations on the unit sphere', Journal of Computational and Applied Mathematics, 446, http://dx.doi.org/10.1016/j.cam.2024.115863

Hamann J; Le Gia QT; Sloan IH; Womersley RS, 2024, 'Removing the mask—reconstructing a real-valued field on the sphere from a masked field by spherical fourier analysis', SIAM Journal on Imaging Sciences, 17, pp. 1820 - 1843, http://dx.doi.org/10.1137/23M1603157

Le Gia QT; Mhaskar H, 2023, 'Numerical solutions to an inverse problem for a non-linear Helmholtz equation', ANZIAM Journal, 64, http://dx.doi.org/10.21914/anziamj.v64.17954

Zhong M; Gia QTL; Sloan IH, 2023, 'A Multiscale RBF Method for Severely Ill-Posed Problems on Spheres', Journal of Scientific Computing, 94, http://dx.doi.org/10.1007/s10915-022-02046-9

Buratti Y; Dick J; Le Gia Q; Hameiri Z, 2022, 'Deep learning extraction of the temperature-dependent parameters of bulk defects', ACS Applied Materials and Interfaces, 14, pp. 48647 - 48657, http://dx.doi.org/10.1021/acsami.2c12162

Hesse K; Le Gia QT, 2022, 'L2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data', Journal of Computational and Applied Mathematics, 408, http://dx.doi.org/10.1016/j.cam.2022.114118

Le Gia QT; Clarke M; Dick J; Pye D, 2022, 'Elasticity equations with random domains—the shape derivative approach', ANZIAM Journal, 62, pp. c256 - c272, http://dx.doi.org/10.21914/anziamj.v62.16120

Le Gia QT; Li M; Wang YG, 2021, 'Algorithm 1018: FaVeST-Fast Vector Spherical Harmonic Transforms', ACM Transactions on Mathematical Software, 47, http://dx.doi.org/10.1145/3458470

Brzeźniak Z; Dhariwal G; Le Gia QT, 2021, 'Stochastic Navier–Stokes Equations on a Thin Spherical Domain', Applied Mathematics and Optimization, 84, pp. 1971 - 2035, http://dx.doi.org/10.1007/s00245-020-09702-2

Hamann J; Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2021, 'A new probe of Gaussianity and isotropy with application to cosmic microwave background maps', International Journal of Modern Physics C, 32, http://dx.doi.org/10.1142/S0129183121500844

Lamichhane BP; Harris E; Le Gia QT, 2021, 'Approximation of noisy data using multivariate splines and finite element methods', Journal of Algorithms and Computational Technology, 15, http://dx.doi.org/10.1177/17483026211008405

Buratti Y; Le Gia QT; Dick J; Zhu Y; Hameiri Z, 2020, 'Extracting bulk defect parameters in silicon wafers using machine learning models', npj Computational Materials, 6, http://dx.doi.org/10.1038/s41524-020-00410-7

Peach JJ; Le Gia QT, 2019, 'A spectral method to the stochastic Stokes equations on the sphere', ANZIAM Journal, 60, pp. C52 - C64, http://dx.doi.org/10.21914/anziamj.v60i0.13987

Kazashi Y; Le Gia QT, 2019, 'A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere', Journal of Complexity, 50, pp. 43 - 65, http://dx.doi.org/10.1016/j.jco.2018.09.001

Dick J; Gantner RN; Le Gia QT; Schwab C, 2019, 'Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion', Computers and Mathematics with Applications, 77, pp. 144 - 172, http://dx.doi.org/10.1016/j.camwa.2018.09.019

Gia QTL; Sloan IH; Womersley RS; Wang YG, 2019, 'Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere', Applied and Computational Harmonic Analysis, http://dx.doi.org/10.1016/j.acha.2019.01.005

Le Gia QT, 2018, 'Numerical solutions of a boundary value problem on the sphere using radial basis functions', , pp. 815 - 836, http://dx.doi.org/10.1007/978-3-319-72456-0_36

Zhong M; Le Gia QT; Wang W, 2018, 'A multiscale support vector regression method on spheres with data compression', Applicable Analysis, http://www.tandfonline.com/doi/full/10.1080/00036811.2018.1430783

Brzeźniak Z; Goldys B; Gia QTL; Le Gia Q, 2017, 'Random attractors for the stochastic Navier--Stokes equations on the 2D unit sphere', Journal of Mathematical Fluid Mechanics, 20, pp. 227 - 253, http://dx.doi.org/10.1007/s00021-017-0351-4

Wang YG; Le Gia QT; Sloan IH; Womersley RS, 2017, 'Fully discrete needlet approximation on the sphere', Applied and Computational Harmonic Analysis, 43, pp. 292 - 316, http://dx.doi.org/10.1016/j.acha.2016.01.003

Dinh Nguyen Duy H; Nguyen Huy T; Le Dinh L; Quoc Thong Le G, 2017, 'Inverse problem for nonlinear backward space-fractional diffusion equation', Journal of Inverse and Ill-Posed Problems, 25, pp. 423 - 443, http://dx.doi.org/10.1515/jiip-2015-0065

Le Gia QT; Sloan IH; Wendland H, 2017, 'Zooming from global to local: a multiscale RBF approach', Advances in Computational Mathematics, 43, pp. 581 - 606, http://dx.doi.org/10.1007/s10444-016-9498-4

Dick J; Gantner RN; Le Gia QT; Schwab C, 2017, 'Multilevel higher-order quasi-Monte Carlo Bayesian estimation', Mathematical Models and Methods in Applied Sciences, 27, pp. 953 - 995, http://dx.doi.org/10.1142/S021820251750021X

Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2017, 'Needlet approximation for isotropic random fields on the sphere', Journal of Approximation Theory, 216, pp. 86 - 116, http://dx.doi.org/10.1016/j.jat.2017.01.001

Zhu Y; Le Gia QT; Juhl MK; Coletti G; Hameiri Z, 2017, 'Application of the Newton–Raphson method to lifetime spectroscopy for extraction of defect parameters', IEEE Journal of Photovoltaics, 7, pp. 1092 - 1092, http://dx.doi.org/10.1109/JPHOTOV.2017.2695666

Chernih A; Le Gia QT, 2016, 'Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains', Advances in Computational Mathematics, 42, pp. 1187 - 1208, http://dx.doi.org/10.1007/s10444-016-9458-z

Le Gia QT; Tran, T ; Nguyen HT, 2016, 'Solving the backward heat equation on the unit sphere', ANZIAM Journal : Electronic Supplement, pp. C262 - C278, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/9346

Dick J; Le Gia QT; Schwab C, 2016, 'Higher order quasi-monte carlo integration for holomorphic, parametric operator equations', SIAM-ASA Journal on Uncertainty Quantification, 4, pp. 48 - 79, http://dx.doi.org/10.1137/140985913

Dick J; Kuo FY; Le Gia QT; Schwab C, 2016, 'Multilevel higher order QMC Petrov-Galerkin discretization for affine parametric operator equations', SIAM Journal on Numerical Analysis, 54, pp. 2541 - 2568, http://dx.doi.org/10.1137/16M1078690

Brzeźniak Z; Goldys B; Le Gia QT, 2015, 'Random dynamical systems generated by stochastic Navier-Stokes equations on a rotating sphere', Journal of Mathematical Analysis and Applications, 426, pp. 505 - 545, http://dx.doi.org/10.1016/j.jmaa.2015.01.054

Dick J; Kuo FY; Gia QTL; Schwab C; Le Gia Q, 2015, 'Fast QMC matrix-vector multiplication', SIAM Journal on Scientific Computing, 37, pp. A1436 - A1450, http://dx.doi.org/10.1137/151005518

Le Gia QT; Wendland H, 2014, 'Data compression on the sphere using multiscale radial basis function approximation', Advances in Computational Mathematics, 40, pp. 923 - 943, http://dx.doi.org/10.1007/s10444-013-9334-z

Chernih A; Le Gia QT, 2014, 'Multiscale methods with compactly supported radial basis functions for Galerkin approximation of elliptic PDEs', IMA Journal of Numerical Analysis, 34, pp. 569 - 591, http://dx.doi.org/10.1093/imanum/drt004

Le Gia QT; McLean W, 2014, 'Solving the heat equation on the unit sphere via Laplace transforms and radial basis functions', Advances in Computational Mathematics, 40, pp. 353 - 375, http://dx.doi.org/10.1007/s10444-013-9311-6

Dick J; Kuo FY; Le Gia QT; Nuyens D; Schwab C, 2014, 'Higher order QMC Petrov-Galerkin discretization for affine parametric operator equations with random field inputs', SIAM Journal on Numerical Analysis, 52, pp. 2676 - 2702, http://dx.doi.org/10.1137/130943984

Le Gia QT; Tran T, 2012, 'Fast iterative solvers for boundary value problems on a local spherical region', Proceedings of the 16th Computational Techniques and Applications Conference, published in ANZIAM Journal, 54, pp. C492 - C507, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6303/1730

Le Gia QT; Sloan IH; Wendland H, 2012, 'Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere', Applied and Computational Harmonic Analysis, 32, pp. 401 - 412, http://dx.doi.org/10.1016/j.acha.2011.07.007

Chernih A; Le Gia QT, 2012, 'Multiscale methods with compactly supported radial basis functions for elliptic partial differential equations on bounded domains', Proceedings of the 16th Computational Techniques and Applications Conference, published in ANZIAM Journal, 54, pp. C137 - C152, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/6304

Le Gia QT; Sloan IH; Wendland H, 2012, 'Multiscale RBF collocation for solving PDEs on spheres', Numerische Mathematik, 121, pp. 99 - 125, http://dx.doi.org/10.1007/s00211-011-0428-6

Ganesh M; Le Gia QT; Sloan IH, 2011, 'A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres', Mathematics of Computation, 80, pp. 1397 - 1430, http://dx.doi.org/10.1090/S0025-5718-2010-02440-8

Ganesh M; Le Gia QT, 2011, 'A redial basis Galerkin method for spherical surface Stokes equations', ANZIAM Journal, pp. C56 - C71

Le Gia QT; Tran T, 2011, 'Additive Schwartz preconditioners for interpolation of divergence-free vector fields on spheres', The ANZIAM Journal, pp. C742 - C758

Costea A; Le Gia Q; Stephan E; Tran T, 2011, 'Meshless BEM and overlapping Schwarz preconditioners for exterior problems on spheroids', Studia Geophysica et Geodaetica, 55, pp. 465 - 477

Le Gia QT; Mclean W, 2011, 'Numerical solution of a parabolic equation on the sphere using Laplace transforms and radial basis functions', ANZIAM Journal, pp. C89 - C102

Le Gia QT; Stephan EP; Tran T, 2011, 'Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions', Advances in Computational Mathematics, 34, pp. 83 - 103, http://dx.doi.org/10.1007/s10444-010-9145-4

Le Gia QT; Sloan IH; Wathen AJ, 2011, 'Stability and preconditioning for a hybrid approximation on the sphere', Numerische Mathematik, 118, pp. 695 - 711, http://dx.doi.org/10.1007/s00211-011-0369-0

Ganesh M; Le Gia QT, 2010, 'A radial basis Galerkin method for spherical surface Stokes equations', ANZIAM Journal, 52

Le Gia QT; Tran T, 2010, 'An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions', Journal of Complexity, 26, pp. 552 - 573

Le Gia QT; Sloan IH; Wendland H, 2010, 'Multiscale analysis in Sobolev spaces on the sphere', SIAM Journal on Numerical Analysis, 48, pp. 2065 - 2090, http://dx.doi.org/10.1137/090774550

Tran T; Le Gia QT; Sloan IH; Stephan EP, 2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, 115, pp. 141 - 163

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