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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 232, Issue 2, pp. 240 - 251
We approximate weighted integrals over Euclidean space by using shifted rank-1 lattice rules with good bounds on the “generalised weighted star discrepancy”.... 
Component-by-component construction | Generalised weighted star discrepancy | Rank-1 lattice rules | MATHEMATICS, APPLIED | UNBOUNDED INTEGRANDS | CONSTRUCTION | ALGORITHMS | MULTIVARIATE INTEGRATION | STRONG TRACTABILITY
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2012, Volume 236, Issue 13, pp. 3296 - 3307
We study the convergence of the variance for randomly shifted lattice rules for numerical multiple integration over the unit hypercube in an arbitrary number... 
Discrepancy | Quasi-Monte Carlo | Lattice rules | Numerical multiple integration | Variance | Random shift | MATHEMATICS, APPLIED | NUMBER | WEIGHTED KOROBOV | ALGORITHMS | CONVERGENCE | EFFICIENT | BY-COMPONENT CONSTRUCTION
Journal Article
Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, ISSN 1221-8421, 2011, Volume 57, Issue 1, pp. 235 - 247
This paper examines construction schemes of lattice rules based on the weighted star discrepancy with general weights. Two popular schemes are considered,... 
Korobov lattice rules | Component-by-component construction | Weighted star discrepancy | INTEGRALS | MATHEMATICS | component-by-component construction | SPACES | ALGORITHMS | weighted star discrepancy
Journal Article
The New England Journal of Medicine, ISSN 0028-4793, 10/2017, Volume 377, Issue 14, pp. 1319 - 1330
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 04/2007, Volume 76, Issue 258, pp. 989 - 1004
Journal Article
Journal of Complexity, ISSN 0885-064X, 2011, Volume 27, Issue 5, pp. 449 - 465
We study the problem of constructing shifted rank-1 lattice rules for the approximation of high-dimensional integrals with a low weighted star discrepancy, for... 
Star discrepancy | Tractability | Numerical integration | Quasi-Monte Carlo | Lattice rules | Component-by-component construction | MATHEMATICS | MATHEMATICS, APPLIED | QUADRATURE | ERROR-BOUNDS | MONTE CARLO ALGORITHMS | BY-COMPONENT CONSTRUCTION
Journal Article