Professor Frances   Kuo
Professor

Professor Frances Kuo

  • PhD in Mathematics, University of Waikato, New Zealand, 2002
  • BCMS (Hons), University of Waikato, New Zealand, 1999
Science
Sch of Mathematics & Statistic

CURRENT POSITION

Professor in Applied Mathematics

Frances Kuo completed a BCMS(Hons) in 1999 and a PhD in 2002 at the University of Waikato in New Zealand, and subsequently joined the School of Mathematics and Statistics at the University of New South Wales in 2003. Started as a Research Fellow, Frances obtained a UNSW Vice-Chancellor's Research Fellowship in 2004-2006, an ARC QEII Fellowship in 2007-2011, and was appointed a Senior Lecturer in 2012. She is an ARC Future Fellow since 2013, Associate Professor since 2015, and Professor since 2019. Frances was the recipient of the inaugural Information-based Complexity Young Researcher Award in 2003, and the ANZIAM J.H. Michell Medal in 2011, and the Information-based Complexity Prize in 2014. She works in the theory and applications of high dimensional integration and approximation, especially quasi-Monte Carlo methods, multilevel and multivariate decomposition techniques. Her recent interests are in their application to partial differential equations with random coefficients and uncertainty quantification.

Phone
+61 2 9385 7082
Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 Australia Red Center East Wing RC-4077

Publications

  • Book Chapters | 2020
    Professor Frances Kuo
    Cools R; Kuo FY; Sloan IH; Nuyens D, 2020, 'Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters', in Brenner SC; Shparlinski I; Shu C-W; Szyld D (ed.), 75 Years of Mathematics of Computation, American Mathematical Society, pp. 93 - 113, http://dx.doi.org/10.1090/conm/754/15150
    Books | 2018
    Professor Frances Kuo
    Dick J; Kuo FY; Woźniakowski H, 2018, Contemporary computational mathematics - a celebration of the 80th birthday of Ian Sloan, http://dx.doi.org/10.1007/978-3-319-72456-0
    Books | 2012
    Professor Frances Kuo
    Chen JX; Gao B; Cheng YM; Zhang BJ; Yang AM; Wei KX; Gui MN; Wang L; Qu XL; CZhou G; Qu JG; Zhong SB; Yang AM; Jue JN; Zhang CX; Chen JX; Zhou L; Tang RC; Yoshino HR; Yang AM; Devetsikiotis MN; Wang CJ; Chen M; Duan ZX; Ghani NX; Kabacinski WJ; Subramaniam SR; Gao MY; Yan SH; Guo YJ; Yin HB; Mark BA; Khalil AH; Pickavet MK; Zhu R; Gagnaire MJ; Xu LJ; Khan SM; Shupke DB; Qu JG; Assi CH; Zhang YZ; Gui GF; Bao HY; Hu XW; Zou YW; Li LW; Zheng SZ; Hu XW; Zhong SB; Bai XY; Shami AS; Brunner MX; Forte AR; Gong DX; Guardini IR; Hossain ER; Niyato DW; Le LX; Liao MZ; Feng LC; Lin Y; Li YJ; He JW; Hui PB; Chen LJ; Jin YL; Choi B; Shi MY; Melia TR; Eddy WM; Haddadi HR; Ott JH; Hua SY; Li KJ; Gao GH; Stiemerling MJ; Kuo F; Qu JG; Chen JX; Tang RC; Shi LX; Zhu R; Danilewicz GX; Xu YZ; Xu KW; Wang HJ; Wu CX; Yan SH; Zhang WM; Liu DL; Tang YX; Zhou L; Yang AM; Wei WX; Zhao YL; Gui GF; Baiocchi AD; Feng LC; Liao MZ, 2012, Preface
    Book Chapters | 2006
    Professor Frances Kuo
    Kuo FY; Sloan IH; Woźniakowski H, 2006, 'Lattice Rules for Multivariate Approximation in the Worst Case Setting', in Monte Carlo and Quasi-Monte Carlo Methods 2004, pp. 289 - 330, http://dx.doi.org/10.1007/3-540-31186-6_18
  • Journal articles | 2021
    Professor Frances Kuo
    Hartung T; Jansen K; Kuo FY; Leövey H; Nuyens D; Sloan IH, 2021, 'Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory', Journal of Computational Physics, vol. 443, pp. 110527 - 110527, http://dx.doi.org/10.1016/j.jcp.2021.110527
    Journal articles | 2021
    Professor Frances Kuo
    Guth PA; Kaarnioja V; Kuo FY; Schillings C; Sloan IH, 2021, 'A quasi-monte carlo method for optimal control under uncertainty', SIAM-ASA Journal on Uncertainty Quantification, vol. 9, pp. 354 - 383, http://dx.doi.org/10.1137/19M1294952
    Journal articles | 2021
    Professor Frances Kuo
    Ganesh M; Kuo FY; Sloan IH, 2021, 'Quasi-monte carlo finite element analysis for wave propagation in heterogeneous random media', SIAM-ASA Journal on Uncertainty Quantification, vol. 9, pp. 106 - 134, http://dx.doi.org/10.1137/20M1334164
    Journal articles | 2020
    Professor Frances Kuo
    Cools R; Kuo FY; Nuyens D; Sloan IH, 2020, 'Fast Component-by-Component Construction of Lattice Algorithms for Multivariate Approximation with Pod and Spod Weights', Mathematics of Computation, vol. 90, pp. 787 - 812, http://dx.doi.org/10.1090/MCOM/3586
    Journal articles | 2020
    Professor Frances Kuo
    Kaarnioja V; Kuo FY; Sloan IH, 2020, 'Uncertainty quantification using periodic random variables', SIAM Journal on Numerical Analysis, vol. 58, pp. 1068 - 1091, http://dx.doi.org/10.1137/19M1262796
    Journal articles | 2020
    Professor Frances Kuo
    Bilyk D; Hinrichs A; Kuo FY; Ritter K, 2020, 'Guest editors’ preface', Journal of Complexity, vol. 61, http://dx.doi.org/10.1016/j.jco.2020.101511
    Journal articles | 2020
    Professor Frances Kuo
    Kuo FY; Wasilkowski GW; Woźniakowski H, 2020, 'Correction to: Lattice Algorithms for Multivariate L∞ Approximation in the Worst-Case Setting (Constructive Approximation, (2009), 30, 3, (475-493), 10.1007/s00365-009-9075-x)', Constructive Approximation, vol. 52, pp. 177 - 179, http://dx.doi.org/10.1007/s00365-020-09498-y
    Journal articles | 2019
    Professor Frances Kuo
    Kritzer P; Kuo FY; Nuyens D; Ullrich M, 2019, 'Lattice rules with random n achieve nearly the optimal O(n −α−1∕2 ) error independently of the dimension', Journal of Approximation Theory, vol. 240, pp. 96 - 113, http://dx.doi.org/10.1016/j.jat.2018.09.011
    Journal articles | 2019
    Professor Frances Kuo
    Gilbert AD; Graham IG; Kuo FY; Scheichl R; Sloan IH, 2019, 'Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients', Numerische Mathematik, vol. 142, pp. 863 - 915, http://dx.doi.org/10.1007/s00211-019-01046-6
    Journal articles | 2019
    Professor Frances Kuo
    Feischl M; Kuo FY; Sloan IH, 2019, 'Correction to: Fast random field generation with H-matrices (Numerische Mathematik, (2018), 140, 3, (639-676), 10.1007/s00211-018-0974-2)', Numerische Mathematik, http://dx.doi.org/10.1007/s00211-019-01033-x
    Journal articles | 2018
    Professor Frances Kuo
    Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2018, 'Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients', Numerische Mathematik, vol. 140, pp. 479 - 511, http://dx.doi.org/10.1007/s00211-018-0968-0
    Journal articles | 2018
    Professor Frances Kuo
    Griewank A; Kuo FY; Leövey H; Sloan IH, 2018, 'High dimensional integration of kinks and jumps—Smoothing by preintegration', Journal of Computational and Applied Mathematics, vol. 344, pp. 259 - 274, http://dx.doi.org/10.1016/j.cam.2018.04.009
    Journal articles | 2018
    Professor Frances Kuo
    Feischl M; Kuo FY; Sloan IH, 2018, 'Fast random field generation with H-matrices', Numerische Mathematik, vol. 140, pp. 639 - 676, http://dx.doi.org/10.1007/s00211-018-0974-2
    Journal articles | 2018
    Professor Frances Kuo
    Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2018, 'Analysis of circulant embedding methods for sampling stationary random fields', SIAM Journal on Numerical Analysis, vol. 56, pp. 1871 - 1895, http://dx.doi.org/10.1137/17M1149730
    Journal articles | 2018
    Professor Frances Kuo
    Gilbert AD; Kuo FY; Nuyens D; Wasilkowski GW, 2018, 'Efficient implementations of the multivariate decomposition method for approximating infinite-variate integrals', SIAM Journal on Scientific Computing, vol. 40, pp. A3240 - A3266, http://dx.doi.org/10.1137/17M1161890
    Journal articles | 2018
    Professor Frances Kuo
    Gilbert AD; Kuo FY; Sloan IH, 2018, 'Hiding the weights—CBC black box algorithms with a guaranteed error bound', Mathematics and Computers in Simulation, vol. 143, pp. 202 - 214, http://dx.doi.org/10.1016/j.matcom.2016.06.005
    Journal articles | 2017
    Professor Frances Kuo
    Kuo FY; Nuyens D; Plaskota L; Sloan IH; Wasilkowski GW, 2017, 'Infinite-dimensional integration and the multivariate decomposition method', Journal of Computational and Applied Mathematics, vol. 326, pp. 217 - 234, http://dx.doi.org/10.1016/j.cam.2017.05.031
    Journal articles | 2017
    Professor Frances Kuo
    Kuo FY; Scheichl R; Schwab C; Sloan IH; Ullmann E, 2017, 'Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems', Mathematics of Computation, vol. 86, pp. 2827 - 2860, http://dx.doi.org/10.1090/mcom/3207
    Journal articles | 2017
    Professor Frances Kuo
    Griebel M; Kuo FY; Sloan IH, 2017, 'Note on "The smoothing effect of integration in Rd and the ANOVA decomposition"', Mathematics of Computation, vol. 86, pp. 1847 - 1854, http://dx.doi.org/10.1090/mcom/3172
    Journal articles | 2017
    Professor Frances Kuo
    Griebel M; Kuo FY; Sloan IH, 2017, 'The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth', Mathematics of Computation, vol. 86, pp. 1855 - 1876, http://dx.doi.org/10.1090/mcom/3171
    Journal articles | 2017
    Professor Frances Kuo
    Kuo FY; Sloan IH; Woźniakowski H, 2017, 'Multivariate integration for analytic functions with Gaussian Kernels', Mathematics of Computation, vol. 86, pp. 829 - 853, http://dx.doi.org/10.1090/mcom/3144
    Journal articles | 2016
    Professor Frances Kuo
    Kuo FY; Plaskota L; Wasilkowski GW, 2016, 'Optimal algorithms for doubly weighted approximation of univariate functions', Journal of Approximation Theory, vol. 201, pp. 30 - 47, http://dx.doi.org/10.1016/j.jat.2015.08.007
    Journal articles | 2016
    Professor Frances Kuo
    Kuo FY; Nuyens D, 2016, 'Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation', Foundations of Computational Mathematics, vol. 16, pp. 1631 - 1696, http://dx.doi.org/10.1007/s10208-016-9329-5
    Journal articles | 2016
    Professor Frances Kuo
    Cools R; Kuo FY; Nuyens D; Suryanarayana G, 2016, 'Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions', Journal of Complexity, vol. 36, pp. 166 - 181, http://dx.doi.org/10.1016/j.jco.2016.05.004
    Journal articles | 2016
    Professor Frances Kuo
    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, vol. 54, pp. 2541 - 2568, http://dx.doi.org/10.1137/16M1078690
    Journal articles | 2015
    Professor Frances Kuo
    Graham IG; Kuo FY; Nichols JA; Scheichl R; Schwab C; Sloan IH, 2015, 'Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients', Numerische Mathematik, vol. 131, pp. 329 - 368, http://dx.doi.org/10.1007/s00211-014-0689-y
    Journal articles | 2015
    Professor Frances Kuo
    Kuo FY; Schwab C; Sloan IH, 2015, 'Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients', Foundations of Computational Mathematics, vol. 15, pp. 411 - 449, http://dx.doi.org/10.1007/s10208-014-9237-5
    Journal articles | 2015
    Professor Frances Kuo
    Dick J; Kuo FY; Gia QTL; Schwab C, 2015, 'Fast QMC matrix-vector multiplication', SIAM Journal on Scientific Computing, vol. 37, pp. A1436 - A1450, http://dx.doi.org/10.1137/151005518
    Journal articles | 2015
    Professor Frances Kuo
    Gnewuch M; Kuo FY; Niederreiter H; Woźniakowski H, 2015, 'Guest editors' preface', Journal of Complexity, vol. 31, pp. vi, http://dx.doi.org/10.1016/S0885-064X(15)00032-1
    Journal articles | 2014
    Professor Frances Kuo
    Nichols JA; Kuo FY, 2014, 'Fast CBC construction of randomly shifted lattice rules achieving O (n -1 + δ) convergence for unbounded integrands over ℝs in weighted spaces with POD weights', Journal of Complexity, vol. 30, pp. 444 - 468, http://dx.doi.org/10.1016/j.jco.2014.02.004
    Journal articles | 2014
    Professor Frances Kuo
    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, vol. 52, pp. 2676 - 2702, http://dx.doi.org/10.1137/130943984
    Journal articles | 2013
    Professor Frances Kuo
    Griebel M; Kuo FY; Sloan IH, 2013, 'The smoothing effect of integration in $R^d$ and the ANOVA decomposition', Mathematics of Computation, vol. 82, pp. 383 - 400, http://dx.doi.org/10.1090/S0025-5718-2012-02578-6
    Journal articles | 2013
    Professor Frances Kuo
    Sinescu V; Kuo FY; Sloan IH, 2013, 'On the Choice of Weights in a Function Space for Quasi-Monte Carlo Methods for a Class of Generalised Response Models in Statistics', Springer Proceedings in Mathematics and Statistics, vol. 65, pp. 631 - 647, http://dx.doi.org/10.1007/978-3-642-41095-6_33
    Journal articles | 2013
    Professor Frances Kuo
    Dick J; Kuo FY; Sloan IH, 2013, 'High dimensional numerical integration - the Quasi-Monte Carlo way', Acta Numerica, vol. 22, pp. 133 - 288, http://dx.doi.org/10.1017/S0962492913000044
    Journal articles | 2013
    Professor Frances Kuo
    Kuo FY; Sloan IH; Schwab C, 2013, 'Erratum: Quasi-Monte Carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond (ANZIAM Journal (2011) 53 (1-37))', ANZIAM Journal, vol. 54, pp. 216 - 219, http://dx.doi.org/10.1017/S144618111300014X
    Journal articles | 2013
    Professor Frances Kuo
    Gnewuch M; Kuo F; Niederreiter H; Woźniakowski H, 2013, 'Uniform Distribution Theory and Applications', Oberwolfach Reports, vol. 10, pp. 2837 - 2917, http://dx.doi.org/10.4171/owr/2013/49
    Journal articles | 2012
    Professor Frances Kuo
    Kuo FY; Schwab CH; Sloan IH, 2012, 'Quasi-monte carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond', ANZIAM Journal, vol. 53, pp. 1 - 37, http://dx.doi.org/10.1017/S1446181112000077
    Journal articles | 2012
    Professor Frances Kuo
    Kuo FY; Schwab CH; Sloan IH, 2012, 'Quasi-Monte Carlo finite element methods for a class of elliptic partial differential equations with random coefficients', SIAM Journal on Numerical Analysis, vol. 50, pp. 3351 - 3374, http://dx.doi.org/10.1137/110845537
    Journal articles | 2012
    Professor Frances Kuo
    Kuo FY; Wozniakowski H, 2012, 'Gauss-Hermite quadratures for functions from Hilbert spaces with Gaussian reproducing kernels', BIT Numerical Mathematics, vol. 52, pp. 425 - 436, http://dx.doi.org/10.1007/s10543-011-0358-9
    Journal articles | 2012
    Professor Frances Kuo
    Kuo FY; Schwab C; Sloan IH, 2012, 'Erratum: Quasi-monte carlo methods for high-dimensional integration: The standard (weighted hilbert space) setting and beyond (ANZIAM Journal (2011) 53 (1-37) DOI: 10.1017/S1446181112000077)', ANZIAM Journal, vol. 53, pp. 251, http://dx.doi.org/10.1017/S1446181112000144
    Journal articles | 2011
    Professor Frances Kuo
    Graham IG; Kuo FY; Nuyens D; Scheichl R; Sloan IH, 2011, 'Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications', Journal of Computational Physics, vol. 230, pp. 3668 - 3694, http://dx.doi.org/10.1016/j.jcp.2011.01.023
    Journal articles | 2011
    Professor Frances Kuo
    Hickernell FJ; Kritzer P; Kuo FY; Nuyens D, 2011, 'Weighted compound integration rules with higher order convergence for all N', Numerical Algorithms, vol. 59, pp. 161 - 183, http://dx.doi.org/10.1007/s11075-011-9482-5
    Journal articles | 2010
    Professor Frances Kuo
    Griebel M; Kuo FY; Sloan IH, 2010, 'The smoothing effect of the ANOVA decomposition', Journal of Complexity, vol. 26, pp. 523 - 551, http://dx.doi.org/10.1016/j.jco.2010.04.003
    Journal articles | 2010
    Professor Frances Kuo
    Cools R; Kuo FY; Nuyens D, 2010, 'Constructing lattice rules based on weighted degree of exactness and worst case error', Computing, vol. 87, pp. 63 - 89, http://dx.doi.org/10.1007/s00607-009-0076-1
    Journal articles | 2010
    Professor Frances Kuo
    Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'On decompositions of multivariate functions', Mathematics of Computation, vol. 79, pp. 953 - 966, http://dx.doi.org/10.1090/S0025-5718-09-02319-9
    Journal articles | 2010
    Professor Frances Kuo
    Kuo FY; Sloan IH; Wasilkowski GW; Waterhouse BJ, 2010, 'Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands', Journal of Complexity, vol. 26, pp. 135 - 160, http://dx.doi.org/10.1016/j.jco.2009.07.005
    Journal articles | 2010
    Professor Frances Kuo
    Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'Liberating the dimension', Journal of Complexity, vol. 26, pp. 422 - 454, http://dx.doi.org/10.1016/j.jco.2009.12.003
    Journal articles | 2009
    Professor Frances Kuo
    Kuo FY; Wasilkowski GW; Wozniakowski H, 2009, 'On the power of standard information for multivariate approximation in the worst case setting', Journal of Approximation Theory, vol. 158, pp. 97 - 125, http://dx.doi.org/10.1016/j.jat.2008.01.011
    Journal articles | 2009
    Professor Frances Kuo
    Kuo FY; Wasilkowski GW; Wozniakowski H, 2009, 'Lattice algorithms for multivariate L-infinity approximation in the worst-case setting', Constructive Approximation, vol. 30, pp. 475 - 493, http://dx.doi.org/10.1007/s00365-009-9075-x
    Journal articles | 2009
    Professor Frances Kuo
    Kuo FY; Wasilkowski GW; Wozniakowski H, 2009, 'On the power of standard information for L-infinity approximation in the randomized setting', BIT Numerical Mathematics, vol. 49, pp. 543 - 564, http://dx.doi.org/10.1007/s10543-009-0232-1
    Journal articles | 2008
    Professor Frances Kuo
    Kuo FY; Sloan IH; Wozniakowski H, 2008, 'Lattice rule algorithms for multivariate approximation in the average case setting', Journal of Complexity, vol. 24, pp. 283 - 323, http://dx.doi.org/10.1016/j.jco.2006.10.006
    Journal articles | 2008
    Professor Frances Kuo
    Kuo FY; Wasilkowski GW; Wozniakowski H, 2008, 'Multivariate L-infinity approximation in the worst case setting over reproducing kernel Hilbert spaces', Journal of Approximation Theory, vol. 152, pp. 135 - 160, http://dx.doi.org/10.1016/j.jat.2007.11.006
    Journal articles | 2008
    Professor Frances Kuo
    Joe S; Kuo FY, 2008, 'Constructing Sobol` sequences with better two-dimensional projections', SIAM journal of scientific computation, vol. 30, pp. 2635 - 2654, http://dx.doi.org/10.1137/070709359
    Journal articles | 2008
    Professor Frances Kuo
    Kuo FY; Dunsmuir WT; Sloan IH; Wand MP; Womersley RS, 2008, 'Quasi-Monte Carlo for highly structured generalised response models', Methodology and Computing in Applied Probability, vol. 10, pp. 239 - 275, http://dx.doi.org/10.1007/s11009-007-9045-3
    Journal articles | 2008
    Professor Frances Kuo
    Kuo FY; Giles M; Sloan IH; Waterhouse BJ, 2008, 'Quasi-Monte Carlo for finance applications', The ANZIAM Journal, vol. 50, pp. C308 - C323
    Journal articles | 2007
    Professor Frances Kuo
    Kuo FY; Sloan IH; Wozniakowski H, 2007, 'Periodization strategy may fail in high dimensions', Numerical Algorithms, vol. 46, pp. 369 - 391, http://dx.doi.org/10.1007/s11075-007-9145-8
    Journal articles | 2007
    Professor Frances Kuo
    Dick J; Kritzer P; Kuo FY; Sloan IH, 2007, 'Lattice-Nystrom method for Fredholm integral equations of the second kind with convolution type kernels', Journal of Complexity, vol. 23, pp. 752 - 772, http://dx.doi.org/10.1016/j.jco.2007.03.004
    Journal articles | 2007
    Professor Frances Kuo
    Hesse K; Kuo FY; Sloan IH, 2007, 'A component-by-component approach to efficient numerical integration over products of spheres', Journal of Complexity, vol. 23, pp. 25 - 51, http://dx.doi.org/10.1016/j.jco.2006.08.001
    Journal articles | 2006
    Professor Frances Kuo
    Kuo FY; Wasilkowski GW; Waterhouse BJ, 2006, 'Randomly shifted lattice rules for unbounded integrands', Journal of Complexity, vol. 22, pp. 630 - 651, http://dx.doi.org/10.1016/j.jco.2006.04.006
    Journal articles | 2006
    Professor Frances Kuo
    Cools R; Kuo FY; Nuyens D, 2006, 'Constructing embedded lattice rules for multivariate integration', SIAM journal of scientific computation, vol. 28, pp. 2162 - 2188, http://dx.doi.org/10.1137/06065074X
    Journal articles | 2006
    Professor Frances Kuo
    Waterhouse BJ; Kuo FY; Sloan IH, 2006, 'Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions', Journal of Complexity, vol. 22, pp. 71 - 101, http://dx.doi.org/10.1016/j.jco.2005.06.004
    Journal articles | 2005
    Professor Frances Kuo
    Kuo FY; Sloan IH, 2005, 'Quasi-Monte Carlo methods can be efficient for integration over products of spheres', Journal of Complexity, vol. 21, pp. 196 - 210, http://dx.doi.org/10.1016/j.jco.2004.07.001
    Journal articles | 2005
    Professor Frances Kuo
    Dick J; Kuo FY; Pillichshammer F; Sloan IH, 2005, 'Construction algorithms for polynomial lattice rules for multivariate integration', Mathematics of Computation, vol. 74, pp. 1895 - 1921, http://dx.doi.org/10.1090/S0025-5718-05-01742-4
    Journal articles | 2005
    Professor Frances Kuo
    Kuo FY; Sloan IH, 2005, 'Lifting the curse of dimensionality', Notices of the American Mathematical Society, vol. 52, pp. 1320 - 1328
    Journal articles | 2004
    Professor Frances Kuo
    Dick J; Kuo FY, 2004, 'Reducing the construction cost of the component-by-component construction of good lattice rules', Mathematics of Computation, vol. 73, pp. 1967 - 1988, http://dx.doi.org/10.1090/S0025-5718-03-01610-7
    Journal articles | 2003
    Professor Frances Kuo
    Joe S; Kuo FY, 2003, 'Remark on algorithm 659: Implementing Sobol`s quasirandom sequence generator', ACM Transactions on Mathematical Software, vol. 29, pp. 49 - 57, http://dx.doi.org/10.1145/641876.641879
    Journal articles | 2003
    Professor Frances Kuo
    Kuo FY, 2003, 'Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces', Journal of Complexity, vol. 19, pp. 301 - 320, http://dx.doi.org/10.1016/S0885-064X(03)00006-2
    Journal articles | 2003
    Professor Frances Kuo
    Kuo FY; Joe S, 2003, 'Component-by-component construction of good intermediate-rank lattice rules', SIAM Journal on Numerical Analysis, vol. 41, pp. 1465 - 1486, http://dx.doi.org/10.1137/S0036142902407162
    Journal articles | 2002
    Professor Frances Kuo
    Kuo FY; Joe S, 2002, 'Component-by-component construction of good lattice rules with a composite number of points', Journal of Complexity, vol. 18, pp. 943 - 976, http://dx.doi.org/10.1006/jcom.2002.0650
    Journal articles |
    Professor Frances Kuo
    Gilbert AD; Kuo FY; Sloan IH, 'Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$', , http://arxiv.org/abs/2103.16075v1
    Journal articles |
    Professor Frances Kuo
    Kaarnioja V; Kazashi Y; Kuo FY; Nobile F; Sloan IH, 'Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification', , http://arxiv.org/abs/2007.06367v2
  • Working Papers | 2021
    Professor Frances Kuo
    Conference Papers | 2019
    Professor Frances Kuo
    Kazashi Y; Kuo FY; Sloan IH, 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
    Conference Papers | 2016
    Professor Frances Kuo
    Kuo FY; Nuyens D, 2016, 'Hot new directions for Quasi-Monte Carlo research in step with applications', in Springer Proceedings in Mathematics and Statistics, Standford, USA, pp. 123 - 144, presented at Monte Carlo and Quasi-Monte Carlo Methods 2016, Standford, USA, 14 August 2016 - 19 August 2016, http://dx.doi.org/10.1007/978-3-319-91436-7_6
    Conference Papers | 2016
    Professor Frances Kuo
    Giles MB; Kuo FY; Sloan IH, 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
    Conference Papers | 2016
    Professor Frances Kuo
    Kuo FY; Nuyens D, 2016, 'Application of quasi-monte carlo methods to PDEs with random coefficients – An overview and tutorial', in Springer Proceedings in Mathematics and Statistics, Stanford, USA, pp. 53 - 71, 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_3
    Conference Proceedings (Editor of) | 2013
    Professor Frances Kuo
    2013, 'Monte Carlo and Quasi-Monte Carlo Methods 2012', Springer Science & Business Media, Vol. 65, http://dx.doi.org/10.1007/978-3-642-41095-6
    Conference Papers | 2013
    Professor Frances Kuo
    Dick J; Kuo FY; Peters GW; Sloan IH, 2013, 'Preface', in Springer Proceedings in Mathematics and Statistics
    Conference Papers | 2006
    Professor Frances Kuo
    Dick J; Kritzer P; Kuo FY, 2006, 'Approximation of functions using digital nets', in 7th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, Ulm, Germany, pp. 275 - 297, presented at 7th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, Ulm, Germany, 14 August 2006 - 18 August 2006
    Conference Papers | 2004
    Professor Frances Kuo
    Kuo FY; Sloan IH; Wozniakowski H, 2004, 'Lattice rules for multivariate approximation in the worst case setting', in Monte Carlo and Quasi-Monte Carlo Methods 2004, France, pp. 475 - 493, presented at Monte Carlo and Quasi-Monte Carlo Methods 2004, France, 07 June 2004 - 10 June 2004, http://dx.doi.org/10.1007/s00365-009-9075-x
    Conference Papers | 2002
    Professor Frances Kuo
    Dick J; Kuo FY, 2002, 'Constructing good lattice rules with millions of points', in Niederreiter H (ed.), 5th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2002), SPRINGER-VERLAG BERLIN, National University of Singapore, pp. 181 - 197, 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, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000189463200010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
    Working Papers |
    Professor Frances Kuo
    Kazashi Y; Kuo FY; Sloan IH, Derandomised lattice rules for high dimensional integration, http://dx.doi.org, http://arxiv.org/abs/1903.05145v1
    Working Papers |
    Professor Frances Kuo
    Cools R; Kuo FY; Nuyens D; Sloan IH, Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters, http://dx.doi.org, http://arxiv.org/abs/1910.06604v1
    Working Papers |
    Professor Frances Kuo
    Cools R; Kuo FY; Nuyens D; Sloan IH, 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
    Working Papers |
    Professor Frances Kuo
    Brown B; Griebel M; Kuo FY; Sloan IH, On the expected uniform error of geometric Brownian motion approximated by the Lévy-Ciesielski construction, http://dx.doi.org, http://arxiv.org/abs/1706.00915v1
    Working Papers |
    Professor Frances Kuo
    Kuo FY; Schwab C; Sloan IH, 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

Awards

  • 2014 Information-Based Complexity Prize
  • 2011 ANZIAM JH Michell Medal
  • 2003 Inaugural Information-Based Complexity Young Researcher Award

Grants

  • ARC Discovery Project (together with Ian Sloan) "High dimensional computation and uncertainty" (2021 - 2023)
  • ARC Discovery Project (together with Ian Sloan) "Towards a science of high dimensional computation" (2018 - 2020)
  • ARC Discovery Project (together with A/Professor Josef Dick and Professor Ian Sloan) "Quantifying uncertainty: innovations in high dimensional computation" (2015 - 2017)
  • ARC Future Fellowship "Liberating the dimension - frontier technologies for very high dimensional problems" (2013 - 2017)
  • ARC Discovery Project (together with Professor Ian Sloan) "Very high dimensional computation - a new frontier in numerical analysis" (2011 - 2013)
  • ARC Queen Elizabeth II Fellowship, Discovery Project "Innovative methods for very high dimensional problems" (2007 - 2011)
  • UNSW Vice-Chancellors' Postdoctoral Fellowship (2004 - 2006)

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