| Publication | Date of Publication | Type |
|---|
| Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration | 2023-11-30 | Paper |
| Comparison of Two Search Criteria for Lattice-based Kernel Approximation | 2023-04-04 | Paper |
| Scaled lattice rules for integration on ℝ^{𝕕} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces | 2022-10-18 | Paper |
| Constructing Embedded Lattice-based Algorithms for Multivariate Function Approximation with a Composite Number of Points | 2022-09-02 | Paper |
| MDFEM: Multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficients using higher-order QMC and FEM | 2022-05-09 | Paper |
| Lattice meets lattice: application of lattice cubature to models in lattice gauge theory | 2022-04-28 | Paper |
| Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness | 2021-09-02 | Paper |
| Scaled lattice rules for integration on $\mathbb{R}^d$ achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces | 2021-08-28 | Paper |
| MDFEM: multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM | 2021-08-27 | Paper |
| Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters | 2021-07-09 | Paper |
| Enhanced multi‐index Monte Carlo by means of multiple semicoarsened multigrid for anisotropic diffusion problems | 2021-06-18 | Paper |
| Function integration, reconstruction and approximation using rank-$1$ lattices | 2021-06-07 | Paper |
| Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights | 2021-01-20 | Paper |
| Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory | 2020-11-10 | Paper |
| Constructing QMC Finite Element Methods for Elliptic PDEs with Random Coefficients by a Reduced CBC Construction | 2020-08-26 | Paper |
| Rank-1 Lattices and Higher-Order Exponential Splitting for the Time-Dependent Schrödinger Equation | 2020-08-26 | Paper |
| Strang Splitting in Combination with Rank-1 and Rank-r Lattices for the Time-Dependent Schrödinger Equation | 2019-11-18 | Paper |
| Recycling Samples in the Multigrid Multilevel (Quasi-)Monte Carlo Method | 2019-10-30 | Paper |
| Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems | 2019-07-29 | Paper |
| Rank-1 lattices and higher-order exponential splitting for the time-dependent Schr\"odinger equation | 2019-05-16 | 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 |
| Application of Quasi-Monte Carlo methods to PDEs with random coefficients -- an overview and tutorial | 2019-02-18 | Paper |
| Hot new directions for quasi-Monte Carlo research in step with applications | 2019-02-18 | Paper |
| Successive coordinate search and component-by-component construction of rank-1 lattice rules | 2019-02-18 | Paper |
| A dimension-adaptive multi-index Monte Carlo method applied to a model of a heat exchanger | 2019-02-18 | Paper |
| The Analysis of Vertex Modified Lattice Rules in a Non-periodic Sobolev Space | 2019-01-22 | Paper |
| Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients | 2018-10-31 | Paper |
| Efficient Implementations of the Multivariate Decomposition Method for Approximating Infinite-Variate Integrals | 2018-10-08 | Paper |
| Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields | 2018-07-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4591289 | 2017-11-14 | Paper |
| A Multi-Index Quasi--Monte Carlo Algorithm for Lognormal Diffusion Problems | 2017-10-27 | Paper |
| Integration and Approximation with Fibonacci lattice points | 2017-09-07 | Paper |
| Infinite-dimensional integration and the multivariate decomposition method | 2017-08-01 | 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 |
| Construction of quasi-Monte Carlo rules for multivariate integration in spaces of permutation-invariant functions | 2017-05-02 | Paper |
| Application of quasi-Monte Carlo methods to elliptic PDEs with random diffusion coefficients: a survey of analysis and implementation | 2017-02-01 | Paper |
| Multivariate integration over \(\mathbb{R}^s\) with exponential rate of convergence | 2016-12-22 | Paper |
| Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions | 2016-09-01 | Paper |
| Rank-1 lattice rules for multivariate integration in spaces of permutation-invariant functions. Error bounds and tractability | 2016-03-02 | Paper |
| Reconstruction and collocation of a class of non-periodic functions by sampling along tent-transformed rank-1 lattices | 2016-02-29 | Paper |
| Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs | 2015-04-08 | Paper |
| Conditional Sampling for Barrier Option Pricing Under the Heston Model | 2014-10-31 | Paper |
| Lattice rules for nonperiodic smooth integrands | 2014-02-25 | Paper |
| Conditional Sampling for Barrier Option Pricing under the LT Method | 2014-01-23 | Paper |
| The construction of good lattice rules and polynomial lattice rules | 2013-08-16 | Paper |
| A Component-by-Component Construction for the Trigonometric Degree | 2013-07-31 | Paper |
| A Global Adaptive Quasi-Monte Carlo Algorithm for Functions of Low Truncation Dimension Applied to Problems from Finance | 2013-07-31 | Paper |
| Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules | 2012-03-02 | Paper |
| Weighted compound integration rules with higher order convergence for all \(N\) | 2012-02-15 | Paper |
| Some arithmetic properties of short random walk integrals | 2012-01-26 | Paper |
| Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications | 2011-06-15 | Paper |
| Constructing lattice rules based on weighted degree of exactness and worst case error | 2010-04-12 | Paper |
| Extensions of Fibonacci Lattice Rules | 2010-02-15 | Paper |
| Constructions of copy rules | 2009-01-22 | Paper |
| A Belgian View on Lattice Rules | 2008-06-11 | Paper |
| Constructing Embedded Lattice Rules for Multivariate Integration | 2007-11-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5427432 | 2007-11-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5482377 | 2006-08-28 | Paper |
| Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points | 2006-05-16 | Paper |
| Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces | 2006-03-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3371180 | 2006-02-21 | Paper |
