Dirk Nuyens

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Frances Y. KuoUNSW AustraliaVerified email at unsw.edu.au
Ronald CoolsProfessor at Dept. of Computer Science, KU LeuvenVerified email at cs.kuleuven.be
Ian SloanProfessor of Mathematics, University of New South Wales (UNSW Australia)Verified email at unsw.edu.au
I.G. Graham Professor of Numerical Analysis Verified email at bath.ac.uk
Robert ScheichlHeidelberg UniversityVerified email at uni-heidelberg.de
Josef DickA/Professor of Mathematics, UNSWVerified email at unsw.edu.au
Gowri SuryanarayanaResearcher, VITOVerified email at vito.be
Vandewalle StefanKU Leuven -- University of LeuvenVerified email at cs.kuleuven.be
Peter KritzerRICAM Linz, Austrian Academy of SciencesVerified email at oeaw.ac.at
Pieterjan RobbeSandia National LaboratoriesVerified email at sandia.gov
Jonathan (Jon) M. BorweinLaureate Professor University of NewcastleVerified email at newcastle.edu.au
James G. WanAssistant professor, Singapore University of Technology and DesignVerified email at sutd.edu.sg
Armin StraubUniversity of South AlabamaVerified email at southalabama.edu
Adrian EbertPostDoc in Applied Mathematics, Johann Radon Institut (RICAM)Verified email at oeaw.ac.at
Friedrich PillichshammerJohannes Kepler University LinzVerified email at jku.at
prof. Hans JanssenBuilding Physics Section, Department of Civil Engineering, KU Leuven, BelgiumVerified email at bwk.kuleuven.be
staf roelsBuilding Physics Section, KU LeuvenVerified email at kuleuven.be
Christoph SchwabProfessor for Mathematics, ETH ZurichVerified email at math.ethz.ch
Yuya SuzukiAalto University Department of Mathematics and Systems AnalysisVerified email at kth.se
Dong T.P. NguyenDepartment of Computer Science, Ku LeuvenVerified email at cs.kuleuven.be

Dirk Nuyens

NUMA, KU Leuven

Verified email at cs.kuleuven.be - Homepage

Numerical analysis Computational mathematics Applied mathematics Quasi-Monte Carlo Low-discrepancy points


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces D Nuyens, R Cools Mathematics of Computation 75 (254), 903-920, 2006	293	2006
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications IG Graham, FY Kuo, D Nuyens, R Scheichl, IH Sloan Journal of Computational Physics, 2011	217	2011
Application of quasi-Monte Carlo methods to elliptic PDEs with random diffusion coefficients: a survey of analysis and implementation FY Kuo, D Nuyens Foundations of Computational Mathematics 16, 1631-1696, 2016	167	2016
Constructing embedded lattice rules for multivariate integration R Cools, FY Kuo, D Nuyens SIAM Journal on Scientific Computing 28 (6), 2162-2188, 2006	151	2006
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
Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points D Nuyens, R Cools Journal of Complexity 22 (1), 4-28, 2006	118	2006
Fast component-by-component construction, a reprise for different kernels D Nuyens, R Cools Monte Carlo and Quasi-Monte Carlo Methods 2004, 373-387, 2006	85	2006
Quasi-Monte Carlo based uncertainty analysis: Sampling efficiency and error estimation in engineering applications T Hou, D Nuyens, S Roels, H Janssen Reliability Engineering & System Safety 191, 106549, 2019	81	2019
Some arithmetic properties of short random walk integrals JM Borwein, D Nuyens, A Straub, J Wan The Ramanujan Journal 26, 109-132, 2011	68*	2011
Lattice rules for nonperiodic smooth integrands J Dick, D Nuyens, F Pillichshammer Numerische Mathematik 126 (2), 259-291, 2014	67	2014
Analysis of circulant embedding methods for sampling stationary random fields IG Graham, FY Kuo, D Nuyens, R Scheichl, IH Sloan SIAM Journal on Numerical Analysis 56 (3), 1871-1895, 2018	64	2018
Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules J Baldeaux, J Dick, G Leobacher, D Nuyens, F Pillichshammer Numerical Algorithms 59 (3), 403-431, 2012	56	2012
The construction of good lattice rules and polynomial lattice rules. D Nuyens Uniform distribution and quasi-Monte Carlo methods, 223-256, 2014	53	2014
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients IG Graham, FY Kuo, D Nuyens, R Scheichl, IH Sloan Numerische mathematik 140, 479-511, 2018	34	2018
Constructing lattice rules based on weighted degree of exactness and worst case error R Cools, FY Kuo, D Nuyens Computing 87, 63-89, 2010	32	2010
Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions R Cools, FY Kuo, D Nuyens, G Suryanarayana Journal of Complexity 36, 166-181, 2016	31	2016
Conditional sampling for barrier option pricing under the LT method N Achtsis, R Cools, D Nuyens SIAM Journal on Financial Mathematics 4 (1), 327-352, 2013	31	2013
A Belgian view on lattice rules R Cools, D Nuyens Monte Carlo and Quasi-Monte Carlo Methods 2006, 3-21, 2006	28	2006
Function integration, reconstruction and approximation using rank-1 lattices F Kuo, G Migliorati, F Nobile, D Nuyens Mathematics of Computation 90 (330), 1861-1897, 2021	25	2021
Fast construction of good lattice rules D Nuyens PhD Thesis, KU Leuven, 2007	25	2007

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