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2020 – today
- 2024
[j78]Josef Dick, Adrian Ebert, Lukas Herrmann, Peter Kritzer
, Marcello Longo:
The fast reduced QMC matrix-vector product. J. Comput. Appl. Math. 440: 115642 (2024)- [j77]Kassem Mustapha, William McLean, Josef Dick:
An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation. J. Sci. Comput. 99(3): 87 (2024) - [i19]Kassem Mustapha, William McLean, Josef Dick:
An α-robust second-order accurate scheme for a subdiffusion equation. CoRR abs/2401.04946 (2024) - [i18]Josef Dick, Quoc Thong Le Gia, William McLean, Kassem Mustapha, T. Tran:
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. CoRR abs/2402.11545 (2024) - [i17]K. A. Mustapha, William McLean, Josef Dick, Quoc Thong Le Gia:
A Locking-free modified conforming FEM for planar elasticity. CoRR abs/2407.06831 (2024) - [i16]Josef Dick, Hecong Gao, William McLean, Kassem Mustapha:
Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values. CoRR abs/2409.00893 (2024) - [i15]Michael Gnewuch, Josef Dick, Lev Markhasin, Winfried Sickel:
QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces. CoRR abs/2409.12879 (2024) - 2023
- [j76]Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Changes of the Editorial Board. J. Complex. 75: 101728 (2023) - [i14]Tiangang Cui, Josef Dick, Friedrich Pillichshammer:
Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation. CoRR abs/2304.14786 (2023) - [i13]Josef Dick, Adrian Ebert, Lukas Herrmann, Peter Kritzer, Marcello Longo:
The fast reduced QMC matrix-vector product. CoRR abs/2305.11645 (2023) - [i12]Josef Dick, Quoc Thong Le Gia, Kassem Mustapha, Thanh Tran:
Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties. CoRR abs/2310.06187 (2023) - [i11]Xin An, Josef Dick, Michael Feischl, Andrea Scaglioni, Thanh Tran:
Sparse grid approximation of the stochastic Landau-Lifshitz-Gilbert equation. CoRR abs/2310.11225 (2023) - 2022
- [j75]Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Changes of the Editorial Board. J. Complex. 68: 101623 (2022) - [j74]Josef Dick, Marcello Longo, Christoph Schwab:
Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification. SIAM/ASA J. Uncertain. Quantification 10(2): 651-686 (2022) - [j73]Josef Dick, Takashi Goda, Kosuke Suzuki:
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate. Math. Comput. 91(338): 2771-2801 (2022) - 2021
- [j72]Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Changes of the Editorial Board. J. Complex. 62: 101533 (2021) - [j71]Josef Dick, Michael Feischl:
A quasi-Monte Carlo data compression algorithm for machine learning. J. Complex. 67: 101587 (2021) - [j70]Josef Dick, Takashi Goda:
Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm. J. Comput. Appl. Math. 382: 113062 (2021) - [j69]Josef Dick, Friedrich Pillichshammer:
Weighted integration over a hyperrectangle based on digital nets and sequences. J. Comput. Appl. Math. 393: 113509 (2021) - [j68]Josef Dick, Takashi Goda, Hiroya Murata:
Toeplitz Monte Carlo. Stat. Comput. 31(1): 1 (2021) - [i10]Josef Dick, Takashi Goda, Kosuke Suzuki:
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate. CoRR abs/2109.11694 (2021) - 2020
- [j67]Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Editorial board announcements. J. Complex. 59: 101492 (2020) - [j66]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno:
Tractability properties of the discrepancy in Orlicz norms. J. Complex. 61: 101468 (2020) - [c3]Nicole Hallett, Kai Yi, Josef Dick, Christopher Hodge, Gerard Sutton, Yu Guang Wang, Jingjing You:
Deep Learning Based Unsupervised and Semi-supervised Classification for Keratoconus. IJCNN 2020: 1-7 - [i9]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer:
A note on the periodic L2-discrepancy of Korobov's p-sets. CoRR abs/2001.01973 (2020) - [i8]Nicole Hallett, Kai Yi, Josef Dick, Christopher Hodge, Gerard Sutton, Yu Guang Wang, Jingjing You:
Deep Learning Based Unsupervised and Semi-supervised Classification for Keratoconus. CoRR abs/2001.11653 (2020) - [i7]Josef Dick, Takashi Goda, Hiroya Murata:
Toeplitz Monte Carlo. CoRR abs/2003.03915 (2020) - [i6]Josef Dick, Michael Feischl:
A quasi-Monte Carlo data compression algorithm for machine learning. CoRR abs/2004.02491 (2020) - [i5]Josef Dick, Friedrich Pillichshammer:
Weighted integration over a cube based on digital nets and sequences. CoRR abs/2009.06993 (2020)
2010 – 2019
- 2019
- [j65]Josef Dick, Robert N. Gantner, Quoc Thong Le Gia, Christoph Schwab:
Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion. Comput. Math. Appl. 77(1): 144-172 (2019) - [j64]David Gunawan, Minh-Ngoc Tran, Kosuke Suzuki, Josef Dick, Robert Kohn:
Computationally efficient Bayesian estimation of high-dimensional Archimedean copulas with discrete and mixed margins. Stat. Comput. 29(5): 933-946 (2019) - [j63]Josef Dick, Takashi Goda, Takehito Yoshiki:
Richardson Extrapolation of Polynomial Lattice Rules. SIAM J. Numer. Anal. 57(1): 44-69 (2019) - [j62]Josef Dick, Michael Feischl, Christoph Schwab:
Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification. SIAM J. Numer. Anal. 57(4): 1744-1769 (2019) - [i4]Josef Dick, Martin Ehler, Manuel Gräf, Christian Krattenthaler:
Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold. CoRR abs/1909.12334 (2019) - [i3]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno:
Tractability properties of the discrepancy in Orlicz norms. CoRR abs/1910.12571 (2019) - [i2]Josef Dick, Takashi Goda:
Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm. CoRR abs/1912.10651 (2019) - 2018
- [j61]Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki:
Digital net properties of a polynomial analogue of Frolov's construction. Finite Fields Their Appl. 51: 325-350 (2018) - [j60]Josef Dick, Aicke Hinrichs, Erich Novak, Klaus Ritter, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Changes of the Editorial Board. J. Complex. 46: iii (2018) - [j59]Josef Dick, Christian Irrgeher, Gunther Leobacher, Friedrich Pillichshammer:
On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness. SIAM J. Numer. Anal. 56(2): 684-707 (2018) - 2017
- [j58]Josef Dick, Takashi Goda, Kosuke Suzuki, Takehito Yoshiki:
Construction of interlaced polynomial lattice rules for infinitely differentiable functions. Numerische Mathematik 137(2): 257-288 (2017) - [j57]Hou-Ying Zhu, Josef Dick:
A discrepancy bound for deterministic acceptance-rejection samplers beyond N-1/2 in dimension 1. Stat. Comput. 27(4): 901-911 (2017) - 2016
- [j56]Josef Dick, Peter Kritzer:
On a projection-corrected component-by-component construction. J. Complex. 32(1): 74-80 (2016) - [j55]Josef Dick, Quoc Thong Le Gia, Christoph Schwab:
Higher Order Quasi-Monte Carlo Integration for Holomorphic, Parametric Operator Equations. SIAM/ASA J. Uncertain. Quantification 4(1): 48-79 (2016) - [j54]Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab:
Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations. SIAM J. Numer. Anal. 54(4): 2541-2568 (2016) - [i1]Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki, Mario Ullrich, Takehito Yoshiki:
Lattice based integration algorithms: Kronecker sequences and rank-1 lattices. CoRR abs/1608.08687 (2016) - 2015
- [j53]Takashi Goda, Josef Dick:
Construction of Interlaced Scrambled Polynomial Lattice Rules of Arbitrary High Order. Found. Comput. Math. 15(5): 1245-1278 (2015) - [j52]Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer:
Proof techniques in quasi-Monte Carlo theory. J. Complex. 31(3): 327-371 (2015) - [j51]Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer:
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. J. Comput. Appl. Math. 276: 1-15 (2015) - [j50]Johann S. Brauchart, Josef Dick, Lou Fang:
Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling. J. Comput. Appl. Math. 286: 28-53 (2015) - [j49]Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer:
Numerical integration in log-Korobov and log-cosine spaces. Numer. Algorithms 70(4): 753-775 (2015) - [j48]Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab:
Fast QMC Matrix-Vector Multiplication. SIAM J. Sci. Comput. 37(3) (2015) - 2014
- [j47]Josef Dick, Michael Gnewuch:
Infinite-Dimensional Integration in Weighted Hilbert Spaces: Anchored Decompositions, Optimal Deterministic Algorithms, and Higher-Order Convergence. Found. Comput. Math. 14(5): 1027-1077 (2014) - [j46]Josef Dick:
Numerical integration of Hölder continuous, absolutely convergent Fourier, Fourier cosine, and Walsh series. J. Approx. Theory 183: 14-30 (2014) - [j45]Josef Dick, Michael Gnewuch:
Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. J. Approx. Theory 184: 111-145 (2014) - [j44]Josef Dick, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski:
Approximation of analytic functions in Korobov spaces. J. Complex. 30(2): 2-28 (2014) - [j43]Josef Dick, Dirk Nuyens, Friedrich Pillichshammer:
Lattice rules for nonperiodic smooth integrands. Numerische Mathematik 126(2): 259-291 (2014) - [j42]Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Dirk Nuyens, Christoph Schwab:
Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. SIAM J. Numer. Anal. 52(6): 2676-2702 (2014) - [c2]Hou-Ying Zhu, Josef Dick:
Discrepancy Estimates For Acceptance-Rejection Samplers Using Stratified Inputs. MCQMC 2014: 599-619 - [c1]Josef Dick, Friedrich Pillichshammer:
The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers. SETA 2014: 173-184 - [p2]Josef Dick:
Applications of geometric discrepancy in numerical analysis and statistics. Applied Algebra and Number Theory 2014: 39-57 - [p1]Josef Dick, Friedrich Pillichshammer:
Explicit constructions of point sets and sequences with low discrepancy. Uniform Distribution and Quasi-Monte Carlo Methods 2014: 63-86 - 2013
- [j41]Josef Dick, Frances Y. Kuo, Ian H. Sloan:
High-dimensional integration: The quasi-Monte Carlo way. Acta Numer. 22: 133-288 (2013) - [j40]Josef Dick, Makoto Matsumoto:
On the Fast Computation of the Weight Enumerator Polynomial and the t Value of Digital Nets over Finite Abelian Groups. SIAM J. Discret. Math. 27(3): 1335-1359 (2013) - 2012
- [j39]Christoph Aistleitner, Johann S. Brauchart, Josef Dick:
Point Sets on the Sphere S2 with Small Spherical Cap Discrepancy. Discret. Comput. Geom. 48(4): 990-1024 (2012) - [j38]Josef Dick, Peter Kritzer:
A higher order Blokh-Zyablov propagation rule for higher order nets. Finite Fields Their Appl. 18(6): 1169-1183 (2012) - [j37]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. Numer. Algorithms 59(3): 403-431 (2012) - [j36]Johann S. Brauchart, Josef Dick:
Quasi-Monte Carlo rules for numerical integration over the unit sphere \({\mathbb{S}^2}\). Numerische Mathematik 121(3): 473-502 (2012) - [j35]Josef Dick:
Random weights, robust lattice rules and the geometry of the cbcrc algorithm. Numerische Mathematik 122(3): 443-467 (2012) - 2011
- [j34]Jan Baldeaux, Josef Dick, Friedrich Pillichshammer:
Duality theory and propagation rules for higher order nets. Discret. Math. 311(5): 362-386 (2011) - [j33]Jan Baldeaux, Josef Dick, Julia Greslehner, Friedrich Pillichshammer:
Construction algorithms for higher order polynomial lattice rules. J. Complex. 27(3-4): 281-299 (2011) - [j32]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) - [j31]Jan Baldeaux, Josef Dick:
A construction of polynomial lattice rules with small gain coefficients. Numerische Mathematik 119(2): 271-297 (2011) - [j30]Josef Dick:
Quasi-Monte Carlo Numerical Integration on Rs: Digital Nets and Worst-Case Error. SIAM J. Numer. Anal. 49(4): 1661-1691 (2011) - 2010
- [j29]Josef Dick, Peter Kritzer:
Duality theory and propagation rules for generalized digital nets. Math. Comput. 79(270): 993-1017 (2010)
2000 – 2009
- 2009
- [j28]Josef Dick, Harald Niederreiter:
Duality for digital sequences. J. Complex. 25(5): 406-414 (2009) - [j27]Jan Baldeaux, Josef Dick, Peter Kritzer:
On the approximation of smooth functions using generalized digital nets. J. Complex. 25(6): 544-567 (2009) - [j26]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
- [j25]Josef Dick, Harald Niederreiter:
On the exact t-value of Niederreiter and Sobol' sequences. J. Complex. 24(5-6): 572-581 (2008) - [j24]Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse:
The construction of good extensible rank-1 lattices. Math. Comput. 77(264): 2345-2373 (2008) - [j23]Josef Dick:
Walsh Spaces Containing Smooth Functions and Quasi-Monte Carlo Rules of Arbitrary High Order. SIAM J. Numer. Anal. 46(3): 1519-1553 (2008) - 2007
- [j22]Josef Dick, Friedrich Pillichshammer, Benjamin J. Waterhouse:
The construction of good extensible Korobov rules. Computing 79(1): 79-91 (2007) - [j21]Josef Dick, Peter Kritzer, Gunther Leobacher, Friedrich Pillichshammer:
Constructions of general polynomial lattice rules based on the weighted star discrepancy. Finite Fields Their Appl. 13(4): 1045-1070 (2007) - [j20]Josef Dick, Friedrich Pillichshammer:
Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules. J. Complex. 23(4-6): 436-453 (2007) - [j19]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. Complex. 23(4-6): 581-593 (2007) - [j18]Josef Dick:
A note on the existence of sequences with small star discrepancy. J. Complex. 23(4-6): 649-652 (2007) - [j17]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. Complex. 23(4-6): 752-772 (2007) - [j16]Josef Dick:
The construction of extensible polynomial lattice rules with small weighted star discrepancy. Math. Comput. 76(260): 2077-2085 (2007) - [j15]Ligia L. Cristea, Josef Dick, Gunther Leobacher, Friedrich Pillichshammer:
The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets. Numerische Mathematik 105(3): 413-455 (2007) - [j14]Josef Dick:
Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions. SIAM J. Numer. Anal. 45(5): 2141-2176 (2007) - 2006
- [j13]Ligia L. Cristea, Josef Dick, Friedrich Pillichshammer:
On the mean square weighted L2 discrepancy of randomized digital nets in prime base. J. Complex. 22(5): 605-629 (2006) - [j12]Josef Dick, Peter Kritzer:
A best possible upper bound on the star discrepancy of (t, m, 2)-nets. Monte Carlo Methods Appl. 12(1): 1-17 (2006) - [j11]Josef Dick:
A Taylor space for multivariate integration. Monte Carlo Methods Appl. 12(2): 99-112 (2006) - [j10]Josef Dick, Ian H. Sloan, Xiaoqun Wang, Henryk Wozniakowski:
Good Lattice Rules in Weighted Korobov Spaces with General Weights. Numerische Mathematik 103(1): 63-97 (2006) - [j9]Gottlieb Pirsic, Josef Dick, Friedrich Pillichshammer:
Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces. SIAM J. Numer. Anal. 44(1): 385-411 (2006) - 2005
- [j8]Josef Dick, Friedrich Pillichshammer:
Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces. J. Complex. 21(2): 149-195 (2005) - [j7]Josef Dick, Friedrich Pillichshammer:
Diaphony, discrepancy, spectral test and worst-case error. Math. Comput. Simul. 70(3): 159-171 (2005) - [j6]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) - [j5]Josef Dick, Gunther Leobacher, Friedrich Pillichshammer:
Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy. SIAM J. Numer. Anal. 43(1): 76-95 (2005) - 2004
- [j4]Josef Dick:
On the convergence rate of the component-by-component construction of good lattice rules. J. Complex. 20(4): 493-522 (2004) - [j3]Josef Dick, Ian H. Sloan, Xiaoqun Wang, Henryk Wozniakowski:
Liberating the weights. J. Complex. 20(5): 593-623 (2004) - [j2]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) - [j1]Xiaoqun Wang, Ian H. Sloan, Josef Dick:
On Korobov Lattice Rules in Weighted Spaces. SIAM J. Numer. Anal. 42(4): 1760-1779 (2004)
Coauthor Index
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