Select Publications
Books
2022, Lattice Rules, Springer International Publishing, http://dx.doi.org/10.1007/978-3-031-09951-9
,2018, A fortunate scientific life, http://dx.doi.org/10.1007/978-3-319-72456-0
,2010, Digital Nets and Sequences - Discrepancy Theory and Quasi-Monte Carlo Integration, Cambridge University Press, Cambridge
,Book Chapters
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
,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
,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
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
,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
,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
,2023, 'Changes of the Editorial Board', Journal of Complexity, 75, pp. 101728 - 101728, http://dx.doi.org/10.1016/j.jco.2022.101728
,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
,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
,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
,2022, 'A new regularization for sparse optimization', ANZIAM Journal, 62, pp. C176 - C191, http://dx.doi.org/10.21914/anziamj.v62.16076
,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
,2022, 'Changes of the Editorial Board', Journal of Complexity, 68, pp. 101623 - 101623, http://dx.doi.org/10.1016/s0885-064x(21)00078-9
,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
,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
,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
,2021, 'Toeplitz Monte Carlo', Statistics and Computing, 31, http://dx.doi.org/10.1007/s11222-020-09987-x
,2021, 'Changes of the Editorial Board', Journal of Complexity, 62, pp. 101533 - 101533, http://dx.doi.org/10.1016/s0885-064x(20)30077-7
,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
,2020, 'Tractability properties of the discrepancy in Orlicz norms', Journal of Complexity, 61, http://dx.doi.org/10.1016/j.jco.2020.101468
,2020, 'A note on the periodic L
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
,2020, 'Editorial board announcements', Journal of Complexity, 59, pp. 101492 - 101492, http://dx.doi.org/10.1016/s0885-064x(20)30035-2
,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
,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
,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
,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
,2019, 'Richardson extrapolation of polynomial lattice rules', SIAM Journal on Numerical Analysis, 57, http://dx.doi.org/10.1137/17M1138601
,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
,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
,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
,2018, 'Changes of the Editorial Board', Journal of Complexity, 46, pp. iii - iii, http://dx.doi.org/10.1016/s0885-064x(18)30017-7
,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
,2017, 'Optimal L
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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
,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
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