By Professor Josef Dick

Journal articles

Dick J, 2007, 'The construction of extensible polynomial lattice rules with small weighted star discrepancy', Mathematics of Computation, 76, pp. 2077 - 2085

Dick J; Pillichshammer F; Waterhouse BJ, 2007, 'The construction of good extensible Korobov rules', Computing, 79, pp. 79 - 91

Cristea L; Dick J; Leobacher G; Pillichshammer F, 2007, 'The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets', Numerische Mathematik, 105, pp. 413 - 455

Dick J; Kritzer P, 2006, 'A best possible upper bound on the star discrepancy of (t,m,2)-nets', Monte Carlo Methods and Applications, 12, pp. 1 - 17

Dick J, 2006, 'A Taylor space for multivariate integration', Monte Carlo Methods and Applications, 12, pp. 99 - 111

Pirsic G; Dick J; Pillichshammer F, 2006, 'Cyclic digital nets, hyperplane nets, and multivariate integration in Sobolev spaces', SIAM Journal on Numerical Analysis, 44, pp. 385 - 411

Dick J; Sloan IH; Wang XJ; Wozniakowski H, 2006, 'Good lattice rules in weighted Korobov spaces with general weights', Numerische Mathematik, 103, pp. 63 - 97

Christea LL; Dick J; Pillichshammer F, 2006, 'On the mean square weighted L2 discrepancy of randomized digital nets in prime base', Journal of Complexity, 22, pp. 605 - 629

Dick J; Pillichshammer F, 2006, 'Periodic functions with bounded remainder', Archiv der Mathematik, 87, pp. 554 - 563

Dick J; Pillichshammer F, 2005, 'A note on the figure of merit of 2-dimensional rank 2 lattice rules', Integers: the Electronic Journal of Combinatorial Number Theory, 5, pp. #A05

Dick J; Leobacher G; Pillichshammer F, 2005, 'Construction algorithms for digital nets with low weighted star discrepancy', SIAM Journal on Numerical Analysis, 43, pp. 76 - 95

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

Dick J; Pillichshammer F, 2005, 'Diaphony, discrepancy, spectral test and worst-case error', Mathematics and Computers in Simulation, 70, pp. 159 - 171, http://www.sciencedirect.com/science/article/B6V0T-4GY891Y-1/2/0b417782bcd03d235a3025c6d124b651

Dick J; Pillichshammer F, 2005, 'Dyadic diaphony of digital nets over Z(2)', Monatshefte fur Mathematik, 145, pp. 285 - 299

Dick J; Pillichshammer F, 2005, 'Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces', Journal of Complexity, 21, pp. 149 - 195

Dick J; Pillichshammer F, 2005, 'On the mean square weighted L_2 discrepancy of randomized digital (t,m,s)-nets over Z_2', ACTA Arithmetica, 117, pp. 371 - 403

Dick J; Kritzer P, 2005, 'Star discrepancy estimates for digital (t, m, 2)-nets and digital (t, 2)-sequences over Z(2)', ACTA Mathematica Hungarica, 109, pp. 239 - 254

Dick J; Sloan IH; Wang XJ; Wozniakowski H, 2004, 'Liberating the weights', Journal of Complexity, 20, pp. 593 - 623

Wang X; Sloan IH; Dick J, 2004, 'On Korobov lattice rules in weighted spaces', SIAM Journal on Numerical Analysis, 42, pp. 1760 - 1779

Dick J, 2004, 'On the convergence rate of the component-by-component construction ofgood lattice rules', Journal of Complexity, 20, pp. 493 - 522

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

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