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Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 10/2008, Volume 77, Issue 264, pp. 2345 - 2373
Journal Article
Journal of Complexity, ISSN 0885-064X, 02/2016, Volume 32, Issue 1, pp. 74 - 80
The component-by-component construction is the standard method of finding good lattice rules or polynomial lattice rules for numerical integration. Several... 
Lattice point sets | Component-by-component algorithm | Polynomial lattice point sets | MATHEMATICS, APPLIED | RANK-1 LATTICE RULES | SPACES | EQUATIONS | WEIGHTED KOROBOV | ALGORITHMS | MATHEMATICS | QUASI-MONTE CARLO | INTEGRATION | CONVERGENCE | POINTS | Algorithms
Journal Article
Mathematics of Computation, ISSN 0025-5718, 4/2006, Volume 75, Issue 254, pp. 903 - 920
Journal Article
Constructive Approximation, ISSN 0176-4276, 4/2017, Volume 45, Issue 2, pp. 311 - 344
We study multivariate integration of functions that are invariant under the permutation (of a subset) of their arguments. Recently, in Nuyens et al. (Adv... 
68Q25 | 68W40 | Numerical integration | Mathematics | 65Y20 | Quasi-Monte Carlo methods | Quadrature | 65D30 | Cubature | Numerical Analysis | Analysis | 65D32 | 65C05 | Component-by-component construction | Rank-1 lattice rules | APPROXIMATION | MATHEMATICS | WEIGHTED SOBOLEV SPACES | ACHIEVE | COMPLEXITY | GOOD LATTICE RULES | BY-COMPONENT CONSTRUCTION | Computer science | Monte Carlo method | Algorithms | Resveratrol
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2015, Volume 276, pp. 1 - 15
Journal Article
Journal of Complexity, ISSN 0885-064X, 02/2017, Volume 38, pp. 22 - 30
The standard method for constructing generating vectors for good lattice point sets is the component-by-component construction. Numerical experiments have... 
Lattice point sets | Component-by-component algorithm | MATHEMATICS, APPLIED | INTEGRATION | SPACES | WEIGHTS | COMPUTER SCIENCE, THEORY & METHODS | RULES
Journal Article
Journal of Complexity, ISSN 0885-064X, 2006, Volume 22, Issue 1, pp. 4 - 28
Journal Article
SIAM JOURNAL ON NUMERICAL ANALYSIS, ISSN 0036-1429, 2019, Volume 57, Issue 1, pp. 44 - 69
We study multivariate numerical integration of smooth functions in weighted Sobolev spaces with dominating mixed smoothness alpha >= 2 defined over the... 
MATHEMATICS, APPLIED | polynomial lattice rule | component-by-component construction | MONTE CARLO INTEGRATION | quasi-Monte Carlo | WALSH COEFFICIENTS | Richardson extrapolation | ALGORITHMS | EFFICIENT | BY-COMPONENT CONSTRUCTION | Mathematics - Numerical Analysis
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
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2005, Volume 43, Issue 1, pp. 76 - 95
We introduce a new construction method for digital nets which yield point sets in the s-dimensional unit cube with low star discrepancy. The digital nets are... 
Digital net | Component-by-component algorithm | Weighted star discrepancy | EXISTENCE | digital net | MATHEMATICS, APPLIED | SOBOLEV SPACES | INTEGRATION | component-by-component algorithm | LATTICE RULES | weighted star discrepancy
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2019, Volume 351, pp. 77 - 100
In this paper, we study an efficient algorithm for constructing node sets of high-quality quasi-Monte Carlo integration rules for weighted Korobov, Walsh, and... 
Polynomial lattice points | Numerical integration | Lattice points | Quasi-Monte Carlo methods | Component-by-component construction | Weighted function spaces | MATHEMATICS, APPLIED | NUMBER | SPACES | EQUATIONS | WEIGHTED KOROBOV | MULTIVARIATE INTEGRATION | CONVERGENCE | DISCREPANCY | RULES | BY-COMPONENT CONSTRUCTION
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
Journal of Complexity, ISSN 0885-064X, 10/2016, Volume 36, pp. 166 - 181
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2006, Volume 28, Issue 6, pp. 2162 - 2188
Journal Article
Mathematics and Computers in Simulation, ISSN 0378-4754, 01/2018, Volume 143, pp. 202 - 214
Journal Article
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, 2018, Volume 241, pp. 197 - 215
Conference Proceeding
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
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, 2018, Volume 241, pp. 377 - 394
Conference Proceeding
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 04/2007, Volume 76, Issue 258, pp. 989 - 1004
Journal Article
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