Select Publications
Conference Papers
2024, 'A Simplified Approach to the Semi-discrete Galerkin Method for the Single-layer Equation for a Plate', pp. 178 - 190, http://dx.doi.org/10.1201/9780429332449-15
,2022, 'Lattice field computations via recursive numerical integration', in Proceedings of Science
,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 CTAC 2018 Computational Techniques and Applications Conference, Newcastle, Australia, 27 November 2019 - 30 November 2019, http://dx.doi.org/10.21914/anziamj.v60i0.14110
,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 Monte Carlo and Quasi-Monte Carlo Methods 2016, Stanford, USA, 14 August 2016 - 19 August 2016, http://dx.doi.org/10.1007/978-3-319-91436-7_14
,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 8th International Congress on Industrial and Applied Mathematics, Beijing, China, 10 August 2015 - 14 August 2015
,2013, 'Preface', in Springer Proceedings in Mathematics and Statistics
,2005, 'Optimal order integration on the sphere', in Li T; Zhang P (ed.), Contemporary Applied Mathematics, World Scientific, Beijing, pp. 59 - 70, presented at Contemporary Applied mathematics, Beijing, -
,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
,2004, 'Lattice rules for multivariate approximation in the worst case setting', in Monte Carlo and Quasi-Monte Carlo Methods 2004, France, presented at Monte Carlo and Quasi-Monte Carlo Methods 2004, France, 07 June 2004 - 10 June 2004
,2002, 'QMC integration - Beating intractability by weighting the coordinate directions', in Monte Carlo and Quasi-Monte Carlo Methods 2000, Hong Kong, presented at Monte Carlo and Quasi-Monte Carlo Methods 2000, Hong Kong, 27 November 2002 - 01 December 2002
,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 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002
,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 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002
,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 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), National University of Singapore, 25 November 2002 - 28 November 2002
,2002, 'The uniform error of hyperinterpolation on the sphere', in 3rd International conference on multivariate approximation theory, Witten-Bommerholz, Germany, presented at 5th International Conference on Multivariate Approximation, Witten-Bommerholz, Germany, 22 September 2002 - 27 September 2002
,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 18th Dundee Biennial Conference on Numerical Analysis, University of Dundee, 29 June 1999 - 02 July 1999
,1999, 'Pointwise error estimates for stress in two dimensional elasticity', in ACAM 99 2nd Australasian congress on applied mechanics, ADFA, Canberra, presented at ACAM 99 2nd Australasian congress on applied mechanics, ADFA, Canberra, 10 February 1999 - 12 February 1999
,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 Design, Simulation and Optimisation Reliability and Applicability of Computational Methods, Universitat of Stuttgart, Germany, 09 April 1997 - 11 April 1997
,1997, 'Multiple integrals in many dimensions', in Guangzhou international sysmposium, Zhongshan University, Guangzhou China, presented at Guangzhou international sysmposium, Zhongshan University, Guangzhou China
,1997, 'Interpolation and hyperinterpolation on the sphere', in 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996, presented at 2nd Intern. Conference on Multivariate Approx. Haus Bommerholz 1996
,1995, 'Pointwise a posteriori upper error bounds for derivatives of a Neumann problem', in Computational Techniques and Applications: Proceedings, Singapore, presented at Computational Techniques and Applications: CTAC 1995, Singapore, 11 July 1995 - 14 July 1995
,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 3rd International Congress on Industrial and Applied Mathematics (ICIAM 95), GERMANY, HAMBURG, 03 July 1995 - 07 July 1995, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1996VG25400005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
,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 Workshop on Quasi-Monte Carlo Methods and their Applications, Hong Kong Baptist University, -
,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 4th Symposium on Numerical Integration, GERMANY, MATH RES INST, OBERWOLFACH, 08 November 1992 - 14 November 1992, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1993BA17Z00020&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
,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 14TH BIENNIAL DUNDEE CONF ON NUMERICAL ANALYSIS, SCOTLAND, UNIV DUNDEE, DUNDEE, 25 June 1991 - 28 June 1991, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992BY14D00012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
,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 NATO ADVANCED RESEARCH WORKSHOP ON NUMERICAL INTEGRATION : RECENT DEVELOPMENTS, SOFTWARE AND APPLICATIONS, NORWAY, BERGEN, 17 June 1991 - 21 June 1991, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992BV16V00005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
,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 Mathematical Programming and NumerAustraliical Analysis Workshop, Canberra, -
,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 Miniconference on Partial Differential Equations, Canberra, -
,