Digital nets and sequences: discrepancy theory and quasi–Monte Carlo integration J Dick, F Pillichshammer Cambridge University Press, 2010 | 978 | 2010 |
High-dimensional integration: the quasi-Monte Carlo way J Dick, FY Kuo, IH Sloan Acta Numerica 22, 133-288, 2013 | 803 | 2013 |
Walsh spaces containing smooth functions and quasi–Monte Carlo rules of arbitrary high order J Dick SIAM Journal on Numerical Analysis 46 (3), 1519-1553, 2008 | 151 | 2008 |
Higher order QMC Petrov--Galerkin discretization for affine parametric operator equations with random field inputs J Dick, FY Kuo, QT Le Gia, D Nuyens, C Schwab SIAM Journal on Numerical Analysis 52 (6), 2676-2702, 2014 | 126 | 2014 |
Good lattice rules in weighted Korobov spaces with general weights J Dick, IH Sloan, X Wang, H Wo¼niakowski Numerische Mathematik 103, 63-97, 2006 | 126 | 2006 |
Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces J Dick, F Pillichshammer Journal of Complexity 21 (2), 149-195, 2005 | 111 | 2005 |
Liberating the weights J Dick, IH Sloan, X Wang, H Wo¼niakowski Journal of Complexity 20 (5), 593-623, 2004 | 101 | 2004 |
On the convergence rate of the component-by-component construction of good lattice rules J Dick Journal of Complexity 20 (4), 493-522, 2004 | 99 | 2004 |
Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high-dimensional periodic functions J Dick SIAM Journal on Numerical Analysis 45 (5), 2141-2176, 2007 | 94 | 2007 |
Construction algorithms for polynomial lattice rules for multivariate integration J Dick, F Kuo, F Pillichshammer, I Sloan Mathematics of computation 74 (252), 1895-1921, 2005 | 79 | 2005 |
Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality C Aistleitner, J Dick arXiv preprint arXiv:1406.0230, 2014 | 78 | 2014 |
Multilevel higher order QMC Petrov--Galerkin discretization for affine parametric operator equations J Dick, FY Kuo, QT Le Gia, C Schwab SIAM Journal on Numerical Analysis 54 (4), 2541-2568, 2016 | 71 | 2016 |
Lattice rules for nonperiodic smooth integrands J Dick, D Nuyens, F Pillichshammer Numerische Mathematik 126, 259-291, 2014 | 66 | 2014 |
Consistency of Markov chain quasi-Monte Carlo on continuous state spaces S Chen, J Dick, AB Owen | 63 | 2011 |
Higher order quasi--Monte Carlo integration for holomorphic, parametric operator equations J Dick, QT Le Gia, C Schwab SIAM/ASA Journal on Uncertainty Quantification 4 (1), 48-79, 2016 | 62 | 2016 |
Discrepancy theory and quasi-Monte Carlo integration J Dick, F Pillichshammer A panorama of discrepancy theory, 539-619, 2014 | 62 | 2014 |
Exponential convergence and tractability of multivariate integration for Korobov spaces J Dick, G Larcher, F Pillichshammer, H Wo¼niakowski Mathematics of computation 80 (274), 905-930, 2011 | 58 | 2011 |
Approximation of analytic functions in Korobov spaces J Dick, P Kritzer, F Pillichshammer, H Wo¼niakowski Journal of Complexity 30 (2), 2-28, 2014 | 57 | 2014 |
The construction of good extensible rank-1 lattices J Dick, F Pillichshammer, B Waterhouse Mathematics of Computation 77 (264), 2345-2373, 2008 | 57 | 2008 |
Point sets on the sphere with small spherical cap discrepancy C Aistleitner, JS Brauchart, J Dick Discrete & Computational Geometry 48 (4), 990-1024, 2012 | 56 | 2012 |