 | 2012 |
| 30 |  | 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) |
| 2011 |
| 29 |  | Jan Baldeaux,
Josef Dick,
Friedrich Pillichshammer:
Duality theory and propagation rules for higher order nets.
Discrete Mathematics 311(5): 362-386 (2011) |
| 28 |  | Jan Baldeaux,
Josef Dick,
Julia Greslehner,
Friedrich Pillichshammer:
Construction algorithms for higher order polynomial lattice rules.
J. Complexity 27(3-4): 281-299 (2011) |
| 27 |  | 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) |
| 26 |  | Josef Dick:
Quasi-Monte Carlo Numerical Integration on Rs: Digital Nets and Worst-Case Error.
SIAM J. Numerical Analysis 49(4): 1661-1691 (2011) |
| 2010 |
| 25 |  | Josef Dick,
Peter Kritzer:
Duality theory and propagation rules for generalized digital nets.
Math. Comput. 79(270): 993-1017 (2010) |
| 2009 |
| 24 |  | Josef Dick,
Harald Niederreiter:
Duality for digital sequences.
J. Complexity 25(5): 406-414 (2009) |
| 23 |  | Jan Baldeaux,
Josef Dick,
Peter Kritzer:
On the approximation of smooth functions using generalized digital nets.
J. Complexity 25(6): 544-567 (2009) |
| 22 |  | 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) |
| 2008 |
| 21 |  | Josef Dick,
Harald Niederreiter:
On the exact t-value of Niederreiter and Sobol' sequences.
J. Complexity 24(5-6): 572-581 (2008) |
| 20 |  | Josef Dick,
Friedrich Pillichshammer,
Benjamin J. Waterhouse:
The construction of good extensible rank-1 lattices.
Math. Comput. 77(264): 2345-2373 (2008) |
| 19 |  | 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) |
| 2007 |
| 18 |  | Josef Dick,
Friedrich Pillichshammer,
Benjamin J. Waterhouse:
The construction of good extensible Korobov rules.
Computing 79(1): 79-91 (2007) |
| 17 |  | 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) |
| 16 |  | 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) |
| 15 |  | 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) |
| 14 |  | Josef Dick:
A note on the existence of sequences with small star discrepancy.
J. Complexity 23(4-6): 649-652 (2007) |
| 13 |  | 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) |
| 12 |  | Josef Dick:
The construction of extensible polynomial lattice rules with small weighted star discrepancy.
Math. Comput. 76(260): 2077-2085 (2007) |
| 11 |  | 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) |
| 2006 |
| 10 |  | 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) |
| 9 |  | 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) |
| 2005 |
| 8 |  | 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) |
| 7 |  | 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) |
| 6 |  | Josef Dick,
Friedrich Pillichshammer:
Diaphony, discrepancy, spectral test and worst-case error.
Mathematics and Computers in Simulation 70(3): 159-171 (2005) |
| 5 |  | 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) |
| 2004 |
| 4 |  | Josef Dick:
On the convergence rate of the component-by-component construction of good lattice rules.
J. Complexity 20(4): 493-522 (2004) |
| 3 |  | Josef Dick,
Ian H. Sloan,
Xiaoqun Wang,
Henryk Wozniakowski:
Liberating the weights.
J. Complexity 20(5): 593-623 (2004) |
| 2 |  | 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) |
| 1 |  | Xiaoqun Wang,
Ian H. Sloan,
Josef Dick:
On Korobov Lattice Rules in Weighted Spaces.
SIAM J. Numerical Analysis 42(4): 1760-1779 (2004) |