Articles in international reviewed journals

1. D. Nuyens, and R. Cools, Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilber spaces, Math. Comp. 75 , pp. 903-920, 2006.
2. D. Nuyens, and R. Cools, Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points, J. Complexity 22 (1), pp. 4-28, 2006.
3. R. Cools, F. Kuo, and D. Nuyens, Constructing embedded lattice rules for multivariate integration, SIAM J. Sci. Comput. 28 (16), pp. 2162-2188, 2006.
4. R. Cools, and D. Nuyens, The role of structured matrices for the construction of integration lattices, Journal of Numerical Analysis, Industrial and Applied Mathematics 1 (3), pp. 257-272, 2006.
5. D. Nuyens, Fast construction of a good lattice rule / About the cover, Notices of the AMS 52 (11), pp. 1329 + cover, December, 2005.

Articles in other scientific journals

Contributions at international conferences, published in proceedings

1. D. Nuyens, and R. Cools, Construction of copy rules, Numerical analysis and applied mathematics (Simos, T.E. and Psihoyios, G. and Tsitouras, Ch., eds.), vol 936, AIP Conference Proceedings, pp. 19-22, 2007
2. D. Nuyens, and R. Cools, Fast component-by-component construction, a reprise for different kernels, Monte Carlo and Quasi-Monte Carlo Methods 2004 (Niederreiter, H. and Talay, D., eds.), pp. 371-385, 2006
3. R. Cools, and D. Nuyens, Structured matrices as a blueprint for integration lattices, ICNAAM 2005 - International Conference on Numerical Analysis and Applied Mathematics 2005 (Simos, T.E. and Psihoyios, G. and Tsitouras, Ch., eds.), pp. 12-15, 2005

Contributions at international conferences, not published or only as abstract

1. D. Nuyens, and R. Cools, 0n component-by-component constructions of lattice rules, 6th International Congress on Industrial and Applied Mathematics, ICIAM07, ETH Zürich, Switzerland, July 16-20, 2007
2. D. Nuyens, and R. Cools, Lattice sequences: from fast construction to rapid application, Second workshop on high-dimensional approximation, hda07, Australian National University (ANU), Canberra, February 19-22, 2007
3. D. Nuyens, and R. Cools, A generic software implementation of lattice sequences for numerical integration, Numerical Analysis Conference 2007, NA07, Dundee, Scotland, UK, June 26-29, 2007
4. D. Nuyens, and R. Cools, Lattice rules for derivative pricing, SIAM Conference on Financial Mathematics and Engineering, FM2006, Boston, USA, July 9-12, 2006,
5. D. Nuyens, and R. Cools, Avoiding computations in dimension-extensible lattice rules, Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCQMC2006, Ulm, Germany, August 14-18, 2006
6. D. Nuyens, and R. Cools, Lattice sequences in finance, Algorithms and complexity for continuous problems (Dagstuhl seminar 06391), Dagstuhl, Germany, September 24-29, 2006
7. D. Nuyens, On the construction of rank-1 lattice rules, Symposium on Optimisation and Data Analysis, In honour of Professor Mike Osborne's 70th birthday, ODA05, Australian National University, Canberra, Australia, September 21-23, 2005
8. D. Nuyens, and R. Cools, A multi-resolution view on sequences of lattice rules for multi-variate integration, 21st Biennial Conference on Numerical Analysis, NA05, Dundee, Scotland, June 28 - July 1, 2005,
9. R. Cools, F. Kuo, D. Nuyens, and I. Sloan, Constructing good embedded lattice sequences with millions of points, Foundations of Computational Mathematics, FoCM'05, Universidad de Cantabria, Santander, Spain, June 30 - July 9, 2005,
10. R. Cools, F. Kuo, D. Nuyens, and I. Sloan, An illustrated story of fast construction of embedded lattice sequences for weighted spaces, Foundations of Computational Mathematics, FoCM'05, Universidad de Cantabria, Santander, Spain, June 30 - July 9, 2005,
11. D. Nuyens, and R. Cools, Faster component-by-component construction, Sixth International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing and Second International Conference on Monte Carlo and Probabilistic Methods for Partial Differential Equations, MC2QMC 2004, Juan-les-Pins, France, June 7-10, 2004
12. D. Nuyens, and R. Cools, Fast component-by-component construction for (non-)primes, Algorithms and complexity for continuous problems (Dagstuhl seminar 04401), Dagstuhl, Germany, September 26 - October 1, 2004,
13. D. Nuyens, and R. Cools, Computational aspects of lattice rule construction for numerical integration, Eleventh International Congress on Computational and Applied Mathematics, ICCAM 2004, Leuven, Belgium, July 26-30, 2004
14. R. Cools, and D. Nuyens, Fast component-by-component construction of rank-1 lattice rules, International Conference on Modern Computational Methods in Applied Mathematics, MCM 2004, Bedlewo/Poznan, Poland, June 14-19, 2004
15. D. Nuyens, and R. Cools, Trigonometric degree & component-by-component construction, IVth IMACS Seminar on Monte Carlo Methods MCM-2003, MCM2003, Berlin, Germany, September 15-19, 2003,

Contributions at other conferences, published in proceedings

Contributions at other conferences, not published or only as abstract

1. D. Nuyens, On the construction of rank-1 lattice rules, Departemental seminar, University of Auckland, Auckland, New Zealand, October 14, 2005, , unpublished
2. D. Nuyens, On the construction of rank-1 lattice rules, Departemental seminar, University of New South Wales, Sydney, Australia, September 16, 2005, , unpublished
3. D. Nuyens, On the construction of rank-1 lattice rules, Departemental seminar, University of Waikato, Hamilton, New Zealand, October 4, 2005, , unpublished
4. D. Nuyens, and R. Cools, A Matlab package for numerical approximation of multi-variate integrals, WOG/SRN Symposium on Software Environments for Numerical Problems, Het Pand, Gent, November 17-18, 2004

Technical reports

1. R. Cools, F. Kuo, and D. Nuyens, Constructing embedded lattice rules for multivariate integration, School of Mathematics and Statistics, University of New South Wales, Sydney, Australia AMR06/35, November, 2006
2. D. Nuyens, and R. Cools, Fast algorithms for component-by-component construction of rank-1 lattice rules in shift invariant reproducing kernel Hilbert spaces, K.U.Leuven, Department of Computer Science, Report TW 392, May, 2004

Books

Edited books

Parts of books

1. R. Cools, and D. Nuyens, A Belgian view on lattice rules, Monte Carlo and Quasi-Monte Carlo Methods 2006, (Keller, A. and Heinrich, S. and Niederreiter, H., eds.), Springer, 2008, pp.3-21

Thesis

1. D. Nuyens, Fast construction of good lattice rules, Ph.D. Thesis, Department of Computer Science, K.U.Leuven, Leuven, Belgium, April, 2007, xvi + 190 + NL-30 pages

Courses, with text

Courses, no text or only abstract