By Professor Josef Dick

Journal articles

Dick J, 2009, 'The decay of the Walsh coefficients of smooth functions', Bulletin of the Australian Mathematical Society, 80, pp. 430 - 453, http://dx.doi.org/10.1017/S0004972709000392

Hickernell FJ; Dick J, 2008, 'An algorithm-driven approach to error analysis for multidimensional integration', International Journal of Numerical Analysis and Modeling, 5, pp. 167 - 189

Dick J, 2008, 'Koksma-Hlawka type inequalities of fractional order', Annali Di Matematica Pura Ed Applicata, 187, pp. 385 - 403, http://dx.doi.org/10.1007/s10231-007-0048-z

Dick J; Niederreiter H, 2008, 'On the exact t-value of Niederreiter and Sobol` sequences', Journal of Complexity, 24, pp. 572 - 581

Dick J; Pillichshammer F; Waterhouse BJ, 2008, 'The construction of good extensible rank-1 lattices', Mathematics of Computation, 77, pp. 2345 - 2373

Dick J, 2008, 'Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order', SIAM Journal on Numerical Analysis, 46, pp. 1519 - 1553

Dick J, 2007, 'A note on the existence of sequences with small star discrepancy', Journal of Complexity, 23, pp. 649 - 652

Dick J; Kritzer P; Leobacher G; Pillichshammer F, 2007, 'Constructions of general polynomial lattice rules based on the weighted star discrepancy', Finite Fields and Their Applications, 13, pp. 1045 - 1070

Dick J, 2007, 'Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high-dimensional periodic functions', SIAM Journal on Numerical Analysis, 45, pp. 2141 - 2176

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

Dick J; Kritzer P; Pillichshammer F; Schmid W, 2007, 'On the existence of higher order polynomial lattices based on a generalized figure of merit', Journal of Complexity, 23, pp. 581 - 593

Dick J; Leobacher G; Pillichshammer F, 2007, 'Randomized Smolyak algorithms based on digital sequences for multivariate integration', IMA Journal of Numerical Analysis, 27, pp. 655 - 674

Dick J; Leobacher G; Pillichshammer F, 2007, 'Smolyak algorithms based on digital (t, α, d)‐sequences for multivariate integration', PAMM, 7, pp. 1022403 - 1022404, http://dx.doi.org/10.1002/pamm.200700232

Dick J; Pillichshammer F, 2007, 'Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules', Journal of Complexity, 27, pp. 436 - 453

Dick J; Pillichshammer F, 2007, 'Strong tractability of multivariate integration of arbitrary order', PAMM, 7, pp. 1022405 - 1022406, http://dx.doi.org/10.1002/pamm.200700276

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 X; Woźniakowski H, 2006, 'Good Lattice Rules in Weighted Korobov Spaces with General Weights', Numerische Mathematik, 103, pp. 63 - 97, http://dx.doi.org/10.1007/s00211-005-0674-6

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

Back to profile page