By Professor Josef Dick

Journal articles

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, 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

Dick J; Kuo FY; Le Gia QT; Schwab C, 2016, 'Multilevel higher order QMC Petrov-Galerkin discretization for affine parametric operator equations', SIAM Journal on Numerical Analysis, 54, pp. 2541 - 2568, http://dx.doi.org/10.1137/16M1078690

Dick J; Kritzer P; Leobacher G; Pillichshammer F, 2015, 'Numerical integration in log-Korobov and log-cosine spaces', Numerical Algorithms, 70, pp. 753 - 775, http://dx.doi.org/10.1007/s11075-015-9972-y

Dick J; Pillichshammer F, 2015, 'The weighted star discrepancy of Korobov’s p-sets', Proceedings of the American Mathematical Society, 143, pp. 5043 - 5057, http://dx.doi.org/10.1090/proc/12636

Brauchart JS; Dick J; Saff EB; Sloan IH; Wang YG; Womersley RS, 2015, 'Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces', Journal of Mathematical Analysis and Applications, 431, pp. 782 - 811, http://dx.doi.org/10.1016/j.jmaa.2015.05.079

Goda T; Dick J, 2015, 'Construction of Interlaced Scrambled Polynomial Lattice Rules of Arbitrary High Order', Foundations of Computational Mathematics, 15, pp. 1245 - 1278, http://dx.doi.org/10.1007/s10208-014-9226-8

Brauchart JS; Dick J; Fang L, 2015, 'Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling', Journal of Computational and Applied Mathematics, 286, pp. 28 - 53, http://dx.doi.org/10.1016/j.cam.2015.02.023

Dick J; Hinrichs A; Pillichshammer F, 2015, 'Proof techniques in quasi-Monte Carlo theory', Journal of Complexity, 31, pp. 327 - 371, http://dx.doi.org/10.1016/j.jco.2014.09.003

Dick J; Kritzer P; Leobacher G; Pillichshammer F, 2015, 'A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights', Journal of Computational and Applied Mathematics, 276, pp. 1 - 15, http://dx.doi.org/10.1016/j.cam.2014.08.017

Dick J; Kuo FY; Gia QTL; Schwab C; Le Gia Q, 2015, 'Fast QMC matrix-vector multiplication', SIAM Journal on Scientific Computing, 37, pp. A1436 - A1450, http://dx.doi.org/10.1137/151005518

Aistleitner C; Dick J, 2015, 'Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality', Acta Arithmetica, 167, pp. 143 - 171, http://dx.doi.org/10.4064/aa167-2-4

Dick J; Pillichshammer F, 2014, 'Explicit constructions of point sets and sequences with low discrepancy', , pp. 63 - 86, http://dx.doi.org/10.1515/9783110317930.63

Dick J; Rudolf D, 2014, 'Discrepancy estimates for variance bounding Markov chain quasi-Monte Carlo', Electronic Journal of Probability, 19, http://dx.doi.org/10.1214/EJP.v19-3132

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