ORCID as entered in ROS
https://orcid.org/0000-0003-3769-0538
Select Publications
Conference Papers
, 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
, 1998, 'A simplified approach to the semi-discrete Galerkin method for the single-layer equation for a plate', in Bonnet M; Sandig AM; Wendland WL (eds.), MATHEMATICAL ASPECTS OF BOUNDARY ELEMENT METHODS, CHAPMAN & HALL/CRC PRESS, FRANCE, ECOLE POLYTECH, PALAISEAU, pp. 178 - 190, 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
, 1992, 'QUASI-MONTE-CARLO METHODS WITH MODIFIED VERTEX WEIGHTS', in Brass H; Hammerlin G (ed.), NUMERICAL INTEGRATION IV, BIRKHAUSER VERLAG, GERMANY, MATH RES INST, OBERWOLFACH, pp. 253 - 265, presented at
, 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
, 1991, 'NUMERICAL-INTEGRATION IN HIGH DIMENSIONS - THE LATTICE RULE APPROACH', in ESPELID TO; GENZ A (ed.), NUMERICAL INTEGRATION, KLUWER ACADEMIC PUBL, NORWAY, BERGEN, pp. 55 - 69, presented at
, 1984, 'FAST CONVERGENCE OF THE ITERATED GALERKIN METHOD FOR INTEGRAL EQUATIONS.', 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
, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org, http://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, http://arxiv.org/abs/1910.06606v1
, 2019, Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, http://dx.doi.org, http://arxiv.org/abs/1910.06604v1
, 2019, Derandomised lattice rules for high dimensional integration, http://dx.doi.org, http://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, http://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, http://arxiv.org/abs/1208.6349v2
Preprints
, 2023, Removing the mask -- reconstructing a scalar field on the sphere from a masked field, , http://arxiv.org/abs/2309.14815v1
, 2023, Doubling the rate -- improved error bounds for orthogonal projection with application to numerical analysis, , http://arxiv.org/abs/2308.06052v2
, 2023, Comparison of Two Search Criteria for Lattice-based Kernel Approximation, , http://arxiv.org/abs/2304.01685v1
, 2023, Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions, , http://arxiv.org/abs/2303.17755v2
, 2022, Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation, , http://arxiv.org/abs/2212.11493v2
, 2022, On approximation for time-fractional stochastic diffusion equations on the unit sphere, , http://arxiv.org/abs/2212.05690v3
, 2022, Uncertainty quantification for random domains using periodic random variables, , http://arxiv.org/abs/2210.17329v2
, 2022, Uncertainty quantification for random domains using periodic random variables, , http://dx.doi.org/10.48550/arxiv.2210.17329
, 2022, Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration, , http://dx.doi.org/10.1007/s00211-024-01397-9
, 2022, Needlets Liberated, , http://arxiv.org/abs/2207.12838v1
, 2021, Preintegration is not smoothing when monotonicity fails, , http://arxiv.org/abs/2112.11621v1
, 2021, Analysis of preintegration followed by quasi-Monte Carlo integration for distribution functions and densities, , http://arxiv.org/abs/2112.10308v5
, 2021, Lattice field computations via recursive numerical integration, , http://arxiv.org/abs/2112.05069v1
, 2021, Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$, , http://dx.doi.org/10.48550/arxiv.2103.16075
, 2020, Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory, , http://dx.doi.org/10.48550/arxiv.2011.05451
, 2020, Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification, , http://dx.doi.org/10.48550/arxiv.2007.06367
, 2020, Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media, , http://dx.doi.org/10.48550/arxiv.2004.12268
, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, , http://dx.doi.org/10.48550/arxiv.1911.11442
, 2019, A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty, , http://dx.doi.org/10.48550/arxiv.1910.10022
, 2019, Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights, , http://dx.doi.org/10.48550/arxiv.1910.06606
, 2019, Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, , http://dx.doi.org/10.48550/arxiv.1910.06604
, 2019, Derandomised lattice rules for high dimensional integration, , http://dx.doi.org/10.48550/arxiv.1903.05145
, 2019, Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients, , http://arxiv.org/abs/1901.10470v1
, 2018, Worst-case error for unshifted lattice rules without randomisation, , http://arxiv.org/abs/1811.05676v1
, 2018, Hiding the weights -- CBC black box algorithms with a guaranteed error bound, , http://dx.doi.org/10.48550/arxiv.1810.03394
, 2018, Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients, , http://dx.doi.org/10.48550/arxiv.1808.02639
, 2018, Sparse Isotropic Regularization for Spherical Harmonic Representations of Random Fields on the Sphere, , http://dx.doi.org/10.48550/arxiv.1801.03212
Filter by type
https://orcid.org/0000-0003-3769-0538