ORCID as entered in ROS
https://orcid.org/0000-0003-3769-0538
Select Publications
Conference Papers
, 2019, 'Derandomised lattice rules for high dimensional integration', in CTAC 2018 Computational Techniques and Applications Conference, Australian Mathematical Society, Newcastle, Australia, pp. C247 - C260, presented at
, 2016, 'Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients', in Springer Proceedings in Mathematics and Statistics, Stanford, USA, pp. 265 - 281, presented at
, 2015, 'What's new in high-dimensional integration? - Designing Quasi Monte Carlo for applications', in Guo L; Ma Z-M (ed.), Proceedings of the 8th International Congress on Industrial and Applied Mathematics, Higher Education Press, Beijing, China, pp. 365 - 386, presented at
, 2013, 'Preface', in Springer Proceedings in Mathematics and Statistics, pp. v - viii
, 2005, 'Optimal order integration on the sphere', in Li T; Zhang P (ed.), Contemporary Applied Mathematics, World Scientific, Beijing, pp. 59 - 70, presented at
, 2004, 'Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress: Preface', in Applied Mathematics Entering the 21st Century Invited Talks from the Iciam 2003 Congress, pp. ix - x
, 2004, 'Lattice rules for multivariate approximation in the worst case setting', in Monte Carlo and Quasi-Monte Carlo Methods 2004, France, presented at
, 2002, 'QMC integration - Beating intractability by weighting the coordinate directions', in Monte Carlo and Quasi-Monte Carlo Methods 2000, Hong Kong, presented at
, 2002, 'On tractability of weighted integration for certain Banach spaces of functions', in 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, presented at
, 2002, 'The strong tractability of multivariate integration using lattice rules', in 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, presented at
, 2002, 'When does Monte Carlo Depend Polynomially on the Number of Variables?', in 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, presented at
, 2002, 'The uniform error of hyperinterpolation on the sphere', in 3rd International conference on multivariate approximation theory, Witten-Bommerholz, Germany, presented at
, 1999, 'The search for good polynomial interpolation points on the sphere', in Griffiths DF; Watson GA (ed.), 18th Dundee Biennial Conference on Numerical Analysis, University of Dundee, pp. 211 - 229, presented at
, 1999, 'Pointwise error estimates for stress in two dimensional elasticity', in ACAM 99 2nd Australasian congress on applied mechanics, ADFA, Canberra, presented at
, 1997, 'Post-processing for pointwise local error bounds for derivatives in finite element solutions', in Design, Simulation and Optimisation Reliability and Applicability of Computational Methods, Universitat of Stuttgart, Germany, presented at
, 1997, 'Multiple integrals in many dimensions', in Guangzhou international sysmposium, Zhongshan University, Guangzhou China, presented at
, 1997, 'Interpolation and hyperinterpolation on the sphere', in 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996, presented at
, 1995, 'Pointwise a posteriori upper error bounds for derivatives of a Neumann problem', in Computational Techniques and Applications: Proceedings, Singapore, presented at
, 1995, 'High-order spline Petrov-Galerkin methods with quadrature', in ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, AKADEMIE VERLAG GMBH, GERMANY, HAMBURG, pp. 15 - 18, presented at
, 1995, 'Lattice rules of moderate order', in Fang K-T; Hickernell FJ (ed.), Proceedings Workshop on Quasi-Monte Carlo Methods and their Applications, Statistics Research and Consultancy Unit, Hong Kong Baptist University, Hong Kong Baptist University, presented at
, 1993, 'Quasi-Monte Carlo Methods with Modified Vertex Weights', in International Series of Numerical Mathematics, Springer Nature, pp. 253 - 265, http://dx.doi.org/10.1007/978-3-0348-6338-4_20
, 1992, 'Numerical Integration in High Dimensions — the Lattice Rule Approach', in Nato Science Series C:, Springer Nature, pp. 55 - 69, http://dx.doi.org/10.1007/978-94-011-2646-5_5
, 1991, 'UNCONVENTIONAL METHODS FOR BOUNDARY INTEGRAL-EQUATIONS IN THE PLANE', in Griffiths DF; Watson GA (ed.), NUMERICAL ANALYSIS 1991, LONGMAN SCIENTIFIC & TECHNICAL, SCOTLAND, UNIV DUNDEE, DUNDEE, pp. 194 - 218, presented at
, 1984, 'FAST CONVERGENCE OF THE ITERATED GALERKIN METHOD FOR INTEGRAL EQUATIONS.', in undefined, pp. 352 - 358
, 1984, 'Lattices for Multiple Integration', in Gustafson S-A; Womersley RS (ed.), Centre for Mathematical Analysis, Australian National University, Canberra, pp. 147 - 165, presented at
, 1984, 'The iterated Galerkin method for integral equations of the second kind', in Jefferies B; McIntosh A (ed.), Miniconference on Partial Differential Eqautions, Centre for Mathematical Analysis, Australian National University, Canberra, presented at
Conference Proceedings (Editor of)
Dick J; Kuo FY; Peters GW; Sloan IH; Dick J; Kuo FY; Peters GW; Sloan IH, (eds.), 2013, 'Monte Carlo and quasi-Monte Carlo methods 2012', Springer Berlin Heidelberg, Vol. 65, http://dx.doi.org/10.1007/978-3-642-41095-6
Working Papers
, 2020, Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, American Mathematical Society (AMS), http://dx.doi.org10.1090/conm/754/15150
, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org, https://arxiv.org/abs/1911.11442v2
, 2019, Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights, http://dx.doi.org, https://arxiv.org/abs/1910.06606v1
, 2019, Derandomised lattice rules for high dimensional integration, http://dx.doi.org, https://arxiv.org/abs/1903.05145v1
, 2018, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, http://dx.doi.org
, 2017, On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction, http://dx.doi.org, https://arxiv.org/abs/1706.00915v3
, 2012, Multi-level quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients, http://dx.doi.org, https://arxiv.org/abs/1208.6349v2
Preprints
, 2026, Multilevel lattice-based kernel approximation for elliptic PDEs with random coefficients, http://dx.doi.org/10.48550/arxiv.2504.15810
, 2026, Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation, http://dx.doi.org/10.48550/arxiv.2509.25753
, 2026, Lattice-based Deep Neural Networks: Regularity and Tailored Regularization, http://dx.doi.org/10.48550/arxiv.2603.02809
, 2026, Regularity and tailored regularization of Deep Neural Networks, with application to parametric PDEs in uncertainty quantification, http://dx.doi.org/10.48550/arxiv.2502.12496
, 2026, Minimal Subsampled Rank-1 Lattices for Multivariate Approximation with Optimal Convergence Rate, http://dx.doi.org/10.48550/arxiv.2506.07729
, 2025, Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields, http://dx.doi.org/10.48550/arxiv.2511.12535
, 2025, Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation, http://dx.doi.org/10.48550/arxiv.2502.12451
, 2024, Doubling the rate -- improved error bounds for orthogonal projection with application to interpolation, http://dx.doi.org/10.48550/arxiv.2308.06052
, 2024, Removing the mask -- reconstructing a scalar field on the sphere from a masked field, http://dx.doi.org/10.48550/arxiv.2309.14815
, 2024, Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration, http://dx.doi.org/10.48550/arxiv.2208.02767
, 2024, On approximation for time-fractional stochastic diffusion equations on the unit sphere, http://dx.doi.org/10.48550/arxiv.2212.05690
, 2023, Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation, http://dx.doi.org/10.48550/arxiv.2212.11493
, 2023, Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions, http://dx.doi.org/10.48550/arxiv.2303.17755
, 2023, On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction, http://dx.doi.org/10.48550/arxiv.1706.00915
, 2023, Comparison of Two Search Criteria for Lattice-based Kernel Approximation, http://dx.doi.org/10.48550/arxiv.2304.01685
, 2022, Analysis of preintegration followed by quasi-Monte Carlo integration for distribution functions and densities, http://dx.doi.org/10.48550/arxiv.2112.10308
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https://orcid.org/0000-0003-3769-0538