By Professor Frances Kuo

Journal articles

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, 53, pp. 1 - 37, http://dx.doi.org/10.1017/S1446181112000077

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, 230, pp. 3668 - 3694, http://dx.doi.org/10.1016/j.jcp.2011.01.023

Hickernell FJ; Kritzer P; Kuo FY; Nuyens D, 2011, 'Weighted compound integration rules with higher order convergence for all N', Numerical Algorithms, 59, pp. 161 - 183, http://dx.doi.org/10.1007/s11075-011-9482-5

Cools R; Kuo FY; Nuyens D, 2010, 'Constructing lattice rules based on weighted degree of exactness and worst case error', Computing, 87, pp. 63 - 89, http://dx.doi.org/10.1007/s00607-009-0076-1

Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'Liberating the dimension', Journal of Complexity, 26, pp. 422 - 454

Kuo FY; Sloan IH; Wasilkowski GW; Wozniakowski H, 2010, 'On decompositions of multivariate functions', Mathematics of Computation, 79, pp. 953 - 966

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, 26, pp. 135 - 160, http://dx.doi.org/10.1016/j.jco.2009.07.005

Griebel M; Kuo FY; Sloan IH, 2010, 'The smoothing effect of the ANOVA decomposition', Journal of Complexity, 26, pp. 523 - 551

Kuo FY; Wasilkowski GW; Wozniakowski H, 2009, 'Lattice algorithms for multivariate L-infinity approximation in the worst-case setting', Constructive Approximation, 30, pp. 475 - 493, http://dx.doi.org/10.1007/s00365-009-9075-x

Kuo FY; Wasilkowski GW; Wozniakowski H, 2009, 'On the power of standard information for L-infinity approximation in the randomized setting', BIT Numerical Mathematics, 49, pp. 543 - 564

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, 158, pp. 97 - 125

Joe S; Kuo FY, 2008, 'Constructing Sobol` sequences with better two-dimensional projections', SIAM journal of scientific computation, 30, pp. 2635 - 2654

Kuo FY; Sloan IH; Wozniakowski H, 2008, 'Lattice rule algorithms for multivariate approximation in the average case setting', Journal of Complexity, 24, pp. 283 - 323

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, 152, pp. 135 - 160

Kuo FY; Giles M; Sloan IH; Waterhouse BJ, 2008, 'Quasi-Monte Carlo for finance applications', The ANZIAM Journal, 50, pp. C308 - C323

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, 10, pp. 239 - 275

Hesse K; Kuo FY; Sloan IH, 2007, 'A component-by-component approach to efficient numerical integration over products of spheres', Journal of Complexity, 23, pp. 25 - 51, http://dx.doi.org/10.1016/j.jco.2006.08.001

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, 23, pp. 752 - 772

Kuo FY; Sloan IH; Wozniakowski H, 2007, 'Periodization strategy may fail in high dimensions', Numerical Algorithms, 46, pp. 369 - 391

Cools R; Kuo FY; Nuyens D, 2006, 'Constructing embedded lattice rules for multivariate integration', SIAM journal of scientific computation, 28, pp. 2162 - 2188

Kuo FY; Wasilkowski GW; Waterhouse BJ, 2006, 'Randomly shifted lattice rules for unbounded integrands', Journal of Complexity, 22, pp. 630 - 651

Waterhouse BJ; Kuo FY; Sloan IH, 2006, 'Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions', Journal of Complexity, 22, pp. 71 - 101, http://dx.doi.org/10.1016/j.jco.2005.06.004

Dick J; Kuo FY; Pillichshammer F; Sloan IH, 2005, 'Construction algorithms for polynomial lattice rules for multivariate integration', Mathematics of Computation, 74, pp. 1895 - 1921

Kuo FY; Sloan IH, 2005, 'Lifting the curse of dimensionality', Notices of the American Mathematical Society, 52, pp. 1320 - 1328

Kuo FY; Sloan IH, 2005, 'Quasi-Monte Carlo methods can be efficient for integration over products of spheres', Journal of Complexity, 21, pp. 196 - 210

Dick J; Kuo FY, 2004, 'Reducing the construction cost of the component-by-component construction of good lattice rules', Mathematics of Computation, 73, pp. 1967 - 1988

Kuo FY; Joe S, 2003, 'Component-by-component construction of good intermediate-rank lattice rules', SIAM Journal on Numerical Analysis, 41, pp. 1465 - 1486

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, 19, pp. 301 - 320

Joe S; Kuo FY, 2003, 'Remark on algorithm 659: Implementing Sobol`s quasirandom sequence generator', ACM Transactions on Mathematical Software, 29, pp. 49 - 57

Kuo FY; Joe S, 2002, 'Component-by-component construction of good lattice rules with a composite number of points', Journal of Complexity, 18, pp. 943 - 976, http://dx.doi.org/10.1006/jcom.2002.0650

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