By Professor Josef Dick

Books

Dick J; Kritzer P; Pillichshammer F, 2022, Lattice Rules, Springer International Publishing, http://dx.doi.org/10.1007/978-3-031-09951-9

Sloan IH, 2018, A fortunate scientific life, http://dx.doi.org/10.1007/978-3-319-72456-0

Pillichshammer F; Dick J, 2010, Digital Nets and Sequences - Discrepancy Theory and Quasi-Monte Carlo Integration, Cambridge University Press, Cambridge

Book Chapters

Bilyk D; Dick J; Pillichshammer F, 2020, 'Radon Series on Computational and Applied Mathematics Preface', in Bilyk D; Dick J; Pillichshammer F (ed.), DISCREPANCY THEORY, WALTER DE GRUYTER GMBH, pp. V - VII, http://dx.doi.org/10.1515/9783110652581-201

Dick J, 2014, 'Applications of geometric discrepancy in numerical analysis and statistics', in Applied Algebra and Number Theory Essays in Honor of Harald Niederreiter on the Occasion of His 70th Birthday, pp. 39 - 57, http://dx.doi.org/10.1017/CCO9781139696456.003

Dick J; Pillichshammer F, 2014, 'Discrepancy theory and quasi-Monte Carlo integration', in Lecture Notes in Mathematics, pp. 539 - 619, http://dx.doi.org/10.1007/978-3-319-04696-9_9

Journal articles

Dick J; Goda T; Suzuki K, 2025, 'Tractability results for integration in subspaces of the Wiener algebra', Journal of Complexity, 90, http://dx.doi.org/10.1016/j.jco.2025.101948

Dick J; Pillichshammer F, 2025, 'Quasi-Monte Carlo integration over Rs based on digital nets', Journal of Computational and Applied Mathematics, 462, http://dx.doi.org/10.1016/j.cam.2024.116451

Dick J; Pillichshammer F, 2025, 'Lebesgue constants for the Walsh system and the discrepancy of the van der Corput sequence', Archiv Der Mathematik, 124, pp. 407 - 414, http://dx.doi.org/10.1007/s00013-024-02087-6

Cui T; Dick J; Pillichshammer F, 2025, 'Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation', Advances in Computational Mathematics, 51, http://dx.doi.org/10.1007/s10444-025-10223-1

An X; Dick J; Feischl M; Scaglioni A; Tran T, 2025, 'Sparse Grid Approximation of Nonlinear SPDEs: The Landau-Lifshitz-Gilbert Equation', SIAM Asa Journal on Uncertainty Quantification, 13, pp. 472 - 517, http://dx.doi.org/10.1137/24M1646054

Dick J; Gao H; McLean W; Mustapha K, 2025, 'Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values', Numerical Algorithms, http://dx.doi.org/10.1007/s11075-025-02066-0

Mustapha K; McLean W; Dick J, 2024, 'An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation', Journal of Scientific Computing, 99, http://dx.doi.org/10.1007/s10915-024-02554-w

Dick J; Ebert A; Herrmann L; Kritzer P; Longo M, 2024, 'The fast reduced QMC matrix–vector product', Journal of Computational and Applied Mathematics, 440, http://dx.doi.org/10.1016/j.cam.2023.115642

Dick J; Ehler M; Gräf M; Krattenthaler C, 2023, 'Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold', Constructive Approximation, 57, pp. 983 - 1026, http://dx.doi.org/10.1007/s00365-023-09638-0

Dick J; Hinrichs A; Novak E; Ritter K; Wasilkowski G; Woźniakowski H, 2023, 'Changes of the Editorial Board', Journal of Complexity, 75, pp. 101728 - 101728, http://dx.doi.org/10.1016/j.jco.2022.101728

Buratti Y; Dick J; Le Gia Q; Hameiri Z, 2022, 'Deep learning extraction of the temperature-dependent parameters of bulk defects', ACS Applied Materials and Interfaces, 14, pp. 48647 - 48657, http://dx.doi.org/10.1021/acsami.2c12162

Dick J; Goda T; Suzuki K, 2022, 'COMPONENT-BY-COMPONENT CONSTRUCTION OF RANDOMIZED RANK-1 LATTICE RULES ACHIEVING ALMOST THE OPTIMAL RANDOMIZED ERROR RATE', Mathematics of Computation, 91, pp. 2771 - 2801, http://dx.doi.org/10.1090/mcom/3769

Le Gia QT; Clarke M; Dick J; Pye D, 2022, 'Elasticity equations with random domains—the shape derivative approach', ANZIAM Journal, 62, pp. c256 - c272, http://dx.doi.org/10.21914/anziamj.v62.16120

Dick J; Li G; Tran DD, 2022, 'A new regularization for sparse optimization', ANZIAM Journal, 62, pp. C176 - C191, http://dx.doi.org/10.21914/anziamj.v62.16076

Dick J; Longo M; Schwab C, 2022, 'Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification', SIAM Asa Journal on Uncertainty Quantification, 10, pp. 651 - 686, http://dx.doi.org/10.1137/20M1338137

Dick J; Hinrichs A; Novak E; Ritter K; Wasilkowski G; Woźniakowski H, 2022, 'Changes of the Editorial Board', Journal of Complexity, 68, pp. 101623 - 101623, http://dx.doi.org/10.1016/s0885-064x(21)00078-9

Dick J; Feischl M, 2021, 'A quasi-Monte Carlo data compression algorithm for machine learning', Journal of Complexity, 67, http://dx.doi.org/10.1016/j.jco.2021.101587

Dick J; Pillichshammer F, 2021, 'Weighted integration over a hyperrectangle based on digital nets and sequences', Journal of Computational and Applied Mathematics, 393, http://dx.doi.org/10.1016/j.cam.2021.113509

Dick J; Goda T, 2021, 'Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm', Journal of Computational and Applied Mathematics, 382, http://dx.doi.org/10.1016/j.cam.2020.113062

Dick J; Goda T; Murata H, 2021, 'Toeplitz Monte Carlo', Statistics and Computing, 31, http://dx.doi.org/10.1007/s11222-020-09987-x

Dick J; Hinrichs A; Novak E; Ritter K; Wasilkowski G; Woźniakowski H, 2021, 'Changes of the Editorial Board', Journal of Complexity, 62, pp. 101533 - 101533, http://dx.doi.org/10.1016/s0885-064x(20)30077-7

Buratti Y; Le Gia QT; Dick J; Zhu Y; Hameiri Z, 2020, 'Extracting bulk defect parameters in silicon wafers using machine learning models', Npj Computational Materials, 6, http://dx.doi.org/10.1038/s41524-020-00410-7

Dick J; Hinrichs A; Pillichshammer F; Prochno J, 2020, 'Tractability properties of the discrepancy in Orlicz norms', Journal of Complexity, 61, http://dx.doi.org/10.1016/j.jco.2020.101468

Dick J; Hinrichs A; Pillichshammer F, 2020, 'A note on the periodic L2 -discrepancy of Korobov’s p-sets', Archiv Der Mathematik, 115, pp. 67 - 78, http://dx.doi.org/10.1007/s00013-020-01460-5

Hallett N; Yi K; Dick J; Hodge C; Sutton G; Guang Wang Y; You J, 2020, 'Deep Learning Based Unsupervised and Semi-supervised Classification for Keratoconus', Proceedings of the International Joint Conference on Neural Networks, http://dx.doi.org/10.1109/IJCNN48605.2020.9206694

Dick J; Hinrichs A; Novak E; Ritter K; Sloan I; Wasilkowski G; Woźniakowski H, 2020, 'Editorial board announcements', Journal of Complexity, 59, pp. 101492 - 101492, http://dx.doi.org/10.1016/s0885-064x(20)30035-2

Gunawan D; Tran MN; Suzuki K; Dick J; Kohn R, 2019, 'Computationally efficient Bayesian estimation of high-dimensional Archimedean copulas with discrete and mixed margins', Statistics and Computing, 29, pp. 933 - 946, http://dx.doi.org/10.1007/s11222-018-9846-y

Dick J; Rudolf D; Zhu H, 2019, 'A weighted discrepancy bound of quasi-Monte Carlo importance sampling', Statistics and Probability Letters, 149, pp. 100 - 106, http://dx.doi.org/10.1016/j.spl.2019.01.014

Dick J; Gantner RN; Le Gia QT; Schwab C, 2019, 'Higher order Quasi-Monte Carlo integration for Bayesian PDE Inversion', Computers and Mathematics with Applications, 77, pp. 144 - 172, http://dx.doi.org/10.1016/j.camwa.2018.09.019

Dick J; Feischl M; Schwab C, 2019, 'Improved efficiency of a multi-index fem for computational uncertainty quantification', SIAM Journal on Numerical Analysis, 57, pp. 1744 - 1769, http://dx.doi.org/10.1137/18M1193700

Dick J; Goda T; Yoshiki T, 2019, 'Richardson extrapolation of polynomial lattice rules', SIAM Journal on Numerical Analysis, 57, pp. 44 - 69, http://dx.doi.org/10.1137/17M1138601

Dick J; Pillichshammer F; Suzuki K; Ullrich M; Yoshiki T, 2018, 'Digital net properties of a polynomial analogue of Frolov's construction', Finite Fields and their Applications, 51, pp. 325 - 350, http://dx.doi.org/10.1016/j.ffa.2018.02.004

Dick J; Pillichshammer F; Suzuki K; Ullrich M; Yoshiki T, 2018, 'Lattice-based integration algorithms: Kronecker sequences and rank-1 lattices', Annali Di Matematica Pura Ed Applicata, 197, pp. 109 - 126, http://dx.doi.org/10.1007/s10231-017-0670-3

Dick J; Irrgeher C; Leobacher G; Pillichshammer F, 2018, 'On the optimal order of integration in hermite spaces with finite smoothness', SIAM Journal on Numerical Analysis, 56, pp. 684 - 707, http://dx.doi.org/10.1137/16M1087461

Dick J; Hinrichs A; Novak E; Ritter K; Sloan I; Wasilkowski G; Woźniakowski H, 2018, 'Changes of the Editorial Board', Journal of Complexity, 46, pp. iii - iii, http://dx.doi.org/10.1016/s0885-064x(18)30017-7

Dick J; Goda T; Suzuki K; Yoshiki T, 2017, 'Construction of interlaced polynomial lattice rules for infinitely differentiable functions', Numerische Mathematik, 137, pp. 257 - 288, http://dx.doi.org/10.1007/s00211-017-0882-x

Dick J; Hinrichs A; Markhasin L; Pillichshammer F, 2017, 'Optimal Lp-discrepancy bounds for second order digital sequences', Israel Journal of Mathematics, 221, pp. 489 - 510, http://dx.doi.org/10.1007/s11856-017-1555-2

Zhu H; Dick J, 2017, 'A discrepancy bound for deterministic acceptance-rejection samplers beyond N- 1 / 2 in dimension 1', Statistics and Computing, 27, pp. 901 - 911, http://dx.doi.org/10.1007/s11222-016-9661-2

Dick J; Gantner RN; Le Gia QT; Schwab C, 2017, 'Multilevel higher-order quasi-Monte Carlo Bayesian estimation', Mathematical Models and Methods in Applied Sciences, 27, pp. 953 - 995, http://dx.doi.org/10.1142/S021820251750021X

Dick J; Gomez-Perez D; Pillichshammer F; Winterhof A, 2017, 'Digital inversive vectors can achieve polynomial tractability for the weighted star discrepancy and for multivariate integration', Proceedings of the American Mathematical Society, 145, pp. 3297 - 3310, http://dx.doi.org/10.1090/proc/13490

Dick J; Hinrichs A; Markhasin L; Pillichshammer F, 2017, 'DISCREPANCY of SECOND ORDER DIGITAL SEQUENCES in FUNCTION SPACES with DOMINATING MIXED SMOOTHNESS', Mathematika, 63, pp. 863 - 894, http://dx.doi.org/10.1112/S0025579317000213

Dick J; Rudolf D; Zhu H, 2016, 'Discrepancy bounds for uniformly ergodic Markov chain quasi-Monte Carlo', Annals of Applied Probability, 26, pp. 3178 - 3205, http://dx.doi.org/10.1214/16-AAP1173

Dick J; Kritzer P, 2016, 'On a projection-corrected component-by-component construction', Journal of Complexity, 32, pp. 74 - 80, http://dx.doi.org/10.1016/j.jco.2015.08.001

Dick J; Le Gia QT; Schwab C, 2016, 'Higher order quasi-monte carlo integration for holomorphic, parametric operator equations', SIAM Asa Journal on Uncertainty Quantification, 4, pp. 48 - 79, http://dx.doi.org/10.1137/140985913

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