| Publication | Date of Publication | Type |
|---|
| The fast reduced QMC matrix-vector product | 2024-04-09 | Paper |
| A unified treatment of tractability for approximation problems defined on Hilbert spaces | 2023-10-26 | Paper |
| Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy | 2023-09-08 | Paper |
| On a reduced component-by-component digit-by-digit construction of lattice point sets | 2023-08-15 | Paper |
| A note on the CBC-DBD construction of lattice rules with general positive weights | 2023-03-24 | Paper |
| A note on the CBC-DBD construction of lattice rules with general positive weights | 2022-08-29 | Paper |
| Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces | 2022-08-20 | Paper |
| Lattice Rules | 2022-08-02 | Paper |
| RICAM, the Johann Radon Institute for Computational and Applied Mathematics | 2022-02-17 | Paper |
| Tractability of approximation in the weighted Korobov space in the worst-case setting | 2022-01-24 | Paper |
| Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction | 2021-11-22 | Paper |
| Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness | 2021-09-02 | Paper |
| On quasi-Monte Carlo methods in weighted ANOVA spaces | 2021-03-29 | Paper |
| Truncation in average and worst case settings for special classes of \(\infty \)-variate functions | 2021-03-02 | Paper |
| Integration and approximation in cosine spaces of smooth functions | 2021-03-01 | Paper |
| Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals | 2021-02-26 | Paper |
| Construction of good polynomial lattice rules in weighted Walsh spaces by an alternative component-by-component construction | 2021-01-29 | Paper |
| On efficient weighted integration via a change of variables | 2020-11-02 | Paper |
| Exponential Tractability of Linear Tensor Product Problems | 2020-08-27 | Paper |
| Constructing QMC Finite Element Methods for Elliptic PDEs with Random Coefficients by a Reduced CBC Construction | 2020-08-26 | Paper |
| 7. Adaptive approximation for multivariate linear problems with inputs lying in a cone | 2020-07-27 | Paper |
| On alternative quantization for doubly weighted approximation and integration over unbounded domains | 2020-05-26 | Paper |
| Approximation methods for piecewise deterministic Markov processes and their costs | 2019-05-10 | Paper |
| Simple characterizations of exponential tractability for linear multivariate problems | 2019-03-27 | Paper |
| Adaptive Approximation for Multivariate Linear Problems with Inputs Lying in a Cone | 2019-03-26 | Paper |
| Lattice rules with random \(n\) achieve nearly the optimal \(\mathcal{O}(n^{-\alpha-1/2})\) error independently of the dimension | 2019-03-06 | Paper |
| Constructing QMC finite element methods for elliptic PDEs with random coefficients by a reduced CBC construction | 2019-02-28 | Paper |
| Truncation dimension for linear problems on multivariate function spaces | 2019-02-07 | Paper |
| Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm | 2019-01-29 | Paper |
| Ian Sloan and Lattice Rules | 2019-01-22 | Paper |
| Truncation Dimension for Function Approximation | 2019-01-22 | Paper |
| Exponential tractability of linear tensor product problems | 2018-11-14 | Paper |
| Tractability of \(\mathbb{L}_2\)-approximation in hybrid function spaces | 2018-08-24 | Paper |
| Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm | 2018-04-05 | Paper |
| Truncation in Average and Worst Case Settings for Special Classes of $\infty$-Variate Functions | 2017-09-07 | Paper |
| \(\mathbb{L}_\infty\)-approximation in Korobov spaces with exponential weights | 2017-07-04 | Paper |
| Lattice rules with random $n$ achieve nearly the optimal $\mathcal{O}(n^{-\alpha-1/2})$ error independently of the dimension | 2017-06-14 | Paper |
| Tractability of Multivariate Integration in Hybrid Function Spaces | 2017-01-20 | Paper |
| A note on equivalence of anchored and ANOVA spaces; lower bounds | 2016-12-05 | Paper |
| Component-by-component construction of shifted Halton sequences | 2016-08-09 | Paper |
| Mixed orthogonal arrays, \((u,m,\mathbf{e},s)\)-nets, and \((u,\mathbf{e},s)\)-sequences | 2016-06-20 | Paper |
| Discrepancy bounds for low-dimensional point sets | 2016-06-10 | Paper |
| Very low truncation dimension for high dimensional integration under modest error demand | 2016-06-03 | Paper |
| Approximation in Hermite spaces of smooth functions | 2016-05-11 | Paper |
| Tractability of multivariate approximation defined over Hilbert spaces with exponential weights | 2016-05-11 | Paper |
| Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces | 2016-02-19 | Paper |
| Tractability of multivariate analytic problems | 2016-01-27 | Paper |
| Numerical integration in log-Korobov and log-cosine spaces | 2016-01-25 | Paper |
| On a projection-corrected component-by-component construction | 2015-12-11 | Paper |
| From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules | 2015-12-08 | Paper |
| Mixed orthogonal arrays, $(u,m,{\bf e},s)$-nets, and $(u,{\bf e},s)$-sequences | 2015-06-30 | Paper |
| Integration in Hermite spaces of analytic functions | 2015-06-10 | Paper |
| Propagation rules for \((u, m, \mathbf{e}, s)\)-nets and \((u, \mathbf{e}, s)\)-sequences | 2015-06-10 | Paper |
| Component-by-Component Construction of Hybrid Point Sets Based on Hammersley and Lattice Point Sets | 2014-10-31 | Paper |
| Discrepancy estimates for index-transformed uniformly distributed sequences | 2014-10-24 | Paper |
| A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights | 2014-10-07 | Paper |
| Approximation of analytic functions in Korobov spaces | 2014-04-01 | Paper |
| Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces | 2014-03-12 | Paper |
| New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences | 2013-10-21 | Paper |
| On the arrangement of point sets in the unit interval | 2013-03-18 | Paper |
| On the existence of low‐diaphony sequences made of digital sequences and lattice point sets | 2013-03-15 | Paper |
| On the diaphony of some finite hybrid point sets | 2012-12-06 | Paper |
| On an example of finite hybrid quasi-Monte Carlo point sets | 2012-11-29 | Paper |
| A higher order Blokh-Zyablov propagation rule for higher order nets | 2012-11-27 | Paper |
| Low discrepancy polynomial lattice point sets | 2012-09-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2893496 | 2012-06-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2893497 | 2012-06-20 | Paper |
| Weighted compound integration rules with higher order convergence for all \(N\) | 2012-02-15 | Paper |
| A lower bound on a quantity related to the quality of polynomial lattices | 2011-11-03 | Paper |
| ON HYBRID SEQUENCES BUILT FROM NIEDERREITER–HALTON SEQUENCES AND KRONECKER SEQUENCES | 2011-10-10 | Paper |
| Duality theory and propagation rules for generalized digital nets | 2010-08-30 | Paper |
| Spline methods using integration lattices and digital nets | 2010-01-15 | Paper |
| On the approximation of smooth functions using generalized digital nets | 2010-01-12 | Paper |
| DISTRIBUTION PROPERTIES OF GENERALIZED VAN DER CORPUT–HALTON SEQUENCES AND THEIR SUBSEQUENCES | 2009-07-06 | Paper |
| Component-by-component construction of low-discrepancy point sets of small size | 2008-08-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3504229 | 2008-06-11 | Paper |
| The Weighted Dyadic Diaphony of Digital Sequences | 2008-06-11 | Paper |
| Constructions of general polynomial lattice rules based on the weighted star discrepancy | 2008-01-21 | Paper |
| On the existence of higher order polynomial lattices based on a generalized figure of merit | 2008-01-09 | Paper |
| Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels | 2008-01-09 | Paper |
| Constructions of general polynomial lattices for multivariate integration | 2007-09-04 | Paper |
| A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets | 2007-08-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5292789 | 2007-06-25 | Paper |
| Point sets with low L p-discrepancy | 2007-03-07 | Paper |
| A best possible upper bound on the star discrepancy of (t, m, 2)-nets | 2006-12-06 | Paper |
| On some remarkable properties of the two-dimensional Hammersley point set in base 2 | 2006-11-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5482372 | 2006-08-28 | Paper |
| Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences | 2006-07-12 | Paper |
| Star discrepancy estimates for digital \((t,m,2)\)-nets and digital \((t,2)\)-sequences over \(\mathbb Z_2\) | 2006-06-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5290052 | 2006-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3377533 | 2006-03-23 | Paper |
