Josef Dick

Josef Dick, Peter Kritzer: A higher order Blokh-Zyablov propagation rule for higher order nets. Finite Fields and Their Applications 18(6): 1169-1183 (2012)

Jan Baldeaux, Josef Dick, Gunther Leobacher, Dirk Nuyens, Friedrich Pillichshammer: Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules. Numerical Algorithms 59(3): 403-431 (2012)

Jan Baldeaux, Josef Dick, Friedrich Pillichshammer: Duality theory and propagation rules for higher order nets. Discrete Mathematics 311(5): 362-386 (2011)

Jan Baldeaux, Josef Dick, Julia Greslehner, Friedrich Pillichshammer: Construction algorithms for higher order polynomial lattice rules. J. Complexity 27(3-4): 281-299 (2011)

Josef Dick, Gerhard Larcher, Friedrich Pillichshammer, Henryk Wozniakowski: Exponential convergence and tractability of multivariate integration for Korobov spaces. Math. Comput. 80(274): 905-930 (2011)

Josef Dick: Quasi-Monte Carlo Numerical Integration on R^s: Digital Nets and Worst-Case Error. SIAM J. Numerical Analysis 49(4): 1661-1691 (2011)

Josef Dick, Peter Kritzer: Duality theory and propagation rules for generalized digital nets. Math. Comput. 79(270): 993-1017 (2010)

Josef Dick, Harald Niederreiter: Duality for digital sequences. J. Complexity 25(5): 406-414 (2009)

Jan Baldeaux, Josef Dick, Peter Kritzer: On the approximation of smooth functions using generalized digital nets. J. Complexity 25(6): 544-567 (2009)

Kwong-Ip Liu, Josef Dick, Fred J. Hickernell: A multivariate fast discrete Walsh transform with an application to function interpolation. Math. Comput. 78(267): 1573-1591 (2009)

Josef Dick, Harald Niederreiter: On the exact t-value of Niederreiter and Sobol' sequences. J. Complexity 24(5-6): 572-581 (2008)

Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse: The construction of good extensible rank-1 lattices. Math. Comput. 77(264): 2345-2373 (2008)

Josef Dick: Walsh Spaces Containing Smooth Functions and Quasi-Monte Carlo Rules of Arbitrary High Order. SIAM J. Numerical Analysis 46(3): 1519-1553 (2008)

Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse: The construction of good extensible Korobov rules. Computing 79(1): 79-91 (2007)

Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer: Constructions of general polynomial lattice rules based on the weighted star discrepancy. Finite Fields and Their Applications 13(4): 1045-1070 (2007)

Josef Dick, Friedrich Pillichshammer: Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules. J. Complexity 23(4-6): 436-453 (2007)

Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Wolfgang Ch. Schmid: On the existence of higher order polynomial lattices based on a generalized figure of merit. J. Complexity 23(4-6): 581-593 (2007)

Josef Dick: A note on the existence of sequences with small star discrepancy. J. Complexity 23(4-6): 649-652 (2007)

Josef Dick, Peter Kritzer, Frances Y. Kuo, Ian H. Sloan: Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. J. Complexity 23(4-6): 752-772 (2007)

Josef Dick: The construction of extensible polynomial lattice rules with small weighted star discrepancy. Math. Comput. 76(260): 2077-2085 (2007)

Josef Dick: Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions. SIAM J. Numerical Analysis 45(5): 2141-2176 (2007)

Ligia L. Cristea, Josef Dick, Friedrich Pillichshammer: On the mean square weighted L₂ discrepancy of randomized digital nets in prime base. J. Complexity 22(5): 605-629 (2006)

Josef Dick, Peter Kritzer: A best possible upper bound on the star discrepancy of (t, m, 2)-nets. Monte Carlo Meth. and Appl. 12(1): 1-17 (2006)

Josef Dick: A Taylor space for multivariate integration. Monte Carlo Meth. and Appl. 12(2): 99-112 (2006)

Gottlieb Pirsic, Josef Dick, Friedrich Pillichshammer: Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces. SIAM J. Numerical Analysis 44(1): 385-411 (2006)

Josef Dick, Friedrich Pillichshammer: Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces. J. Complexity 21(2): 149-195 (2005)

Josef Dick, Friedrich Pillichshammer: Diaphony, discrepancy, spectral test and worst-case error. Mathematics and Computers in Simulation 70(3): 159-171 (2005)

Josef Dick, Frances Y. Kuo, Friedrich Pillichshammer, Ian H. Sloan: Construction algorithms for polynomial lattice rules for multivariate integration. Math. Comput. 74(252): 1895-1921 (2005)

Josef Dick, Gunther Leobacher, Friedrich Pillichshammer: Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy. SIAM J. Numerical Analysis 43(1): 76-95 (2005)

Josef Dick: On the convergence rate of the component-by-component construction of good lattice rules. J. Complexity 20(4): 493-522 (2004)

Josef Dick, Ian H. Sloan, Xiaoqun Wang, Henryk Wozniakowski: Liberating the weights. J. Complexity 20(5): 593-623 (2004)

Josef Dick, Frances Y. Kuo: Reducing the construction cost of the component-by-component construction of good lattice rules. Math. Comput. 73(248): 1967-1988 (2004)

Xiaoqun Wang, Ian H. Sloan, Josef Dick: On Korobov Lattice Rules in Weighted Spaces. SIAM J. Numerical Analysis 42(4): 1760-1779 (2004)