Select Publications
Journal articles
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
,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
,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
,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
,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
,2022, 'L
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
,2021, 'Algorithm 1018: FaVeST-Fast Vector Spherical Harmonic Transforms', ACM Transactions on Mathematical Software, 47, http://dx.doi.org/10.1145/3458470
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,2015, 'Fast QMC matrix-vector multiplication', SIAM Journal on Scientific Computing, 37, pp. A1436 - A1450, http://dx.doi.org/10.1137/151005518
,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
,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
,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
,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
,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
,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
,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
,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
,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
,2011, 'A redial basis Galerkin method for spherical surface Stokes equations', ANZIAM Journal, pp. C56 - C71
,2011, 'Additive Schwartz preconditioners for interpolation of divergence-free vector fields on spheres', The ANZIAM Journal, pp. C742 - C758
,2011, 'Meshless BEM and overlapping Schwarz preconditioners for exterior problems on spheroids', Studia Geophysica et Geodaetica, 55, pp. 465 - 477
,2011, 'Numerical solution of a parabolic equation on the sphere using Laplace transforms and radial basis functions', ANZIAM Journal, pp. C89 - C102
,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
,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
,2010, 'A radial basis Galerkin method for spherical surface Stokes equations', ANZIAM Journal, 52
,2010, 'An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions', Journal of Complexity, 26, pp. 552 - 573
,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
,2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, 115, pp. 141 - 163
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