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Dirk Nuyens
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2020 – today
- 2023
- [j31]Frances Y. Kuo, Dirk Nuyens, Laurence Wilkes
:
Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration. J. Complex. 79: 101785 (2023) - [i13]Frances Y. Kuo, Weiwen Mo, Dirk Nuyens, Ian H. Sloan
, Abirami Srikumar:
Comparison of Two Search Criteria for Lattice-based Kernel Approximation. CoRR abs/2304.01685 (2023) - [i12]Frances Y. Kuo, Dirk Nuyens, Laurence Wilkes:
Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration. CoRR abs/2304.10413 (2023) - [i11]Dirk Nuyens, Laurence Wilkes:
A randomised lattice rule algorithm with pre-determined generating vector and random number of points for Korobov spaces with 0 < α≤ 1/2. CoRR abs/2308.03138 (2023) - 2022
- [j30]Dirk Nuyens, Yuya Suzuki
:
Scaled lattice rules for integration on ℝ^{𝕕} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces. Math. Comput. 92(339): 307-347 (2022) - [i10]Frances Y. Kuo, Weiwen Mo, Dirk Nuyens:
Constructing Embedded Lattice-based Algorithms for Multivariate Function Approximation with a Composite Number of Points. CoRR abs/2209.01002 (2022) - 2021
- [j29]Adrian Ebert, Peter Kritzer, Dirk Nuyens
, Onyekachi Osisiogu
:
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. J. Complex. 66: 101555 (2021) - [j28]Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens
, Ian H. Sloan
:
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. J. Comput. Phys. 443: 110527 (2021) - [j27]Ronald Cools
, Frances Y. Kuo, Dirk Nuyens
, Ian H. Sloan
:
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. Math. Comput. 90(328): 787-812 (2021) - [j26]Frances Y. Kuo, Giovanni Migliorati
, Fabio Nobile
, Dirk Nuyens
:
Function integration, reconstruction and approximation using rank-1 lattices. Math. Comput. 90(330): 1861-1897 (2021) - [j25]Pieterjan Robbe
, Dirk Nuyens
, Stefan Vandewalle
:
Enhanced multi-index Monte Carlo by means of multiple semicoarsened multigrid for anisotropic diffusion problems. Numer. Linear Algebra Appl. 28(3) (2021) - [j24]Dong T. P. Nguyen, Dirk Nuyens
:
MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM. Numerische Mathematik 148(3): 633-669 (2021) - [i9]Dirk Nuyens, Yuya Suzuki:
Scaled lattice rules for integration on Rd achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces. CoRR abs/2108.12639 (2021) - 2020
- [p2]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. 75 Years of Mathematics of Computation 2020 - [i8]Adrian Ebert, Peter Kritzer, Dirk Nuyens, Onyekachi Osisiogu
:
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. CoRR abs/2001.02978 (2020) - [i7]Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens, Ian H. Sloan:
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. CoRR abs/2011.05451 (2020)
2010 – 2019
- 2019
- [j23]Peter Kritzer, Frances Y. Kuo, Dirk Nuyens
, Mario Ullrich
:
Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension. J. Approx. Theory 240: 96-113 (2019) - [j22]Tianfeng Hou
, Dirk Nuyens
, Staf Roels
, Hans Janssen
:
Quasi-Monte Carlo based uncertainty analysis: Sampling efficiency and error estimation in engineering applications. Reliab. Eng. Syst. Saf. 191 (2019) - [j21]Pieterjan Robbe
, Dirk Nuyens
, Stefan Vandewalle
:
Recycling Samples in the Multigrid Multilevel (Quasi-)Monte Carlo Method. SIAM J. Sci. Comput. 41(5): S37-S60 (2019) - [j20]Yuya Suzuki
, Gowri Suryanarayana, Dirk Nuyens
:
Strang Splitting in Combination with Rank-1 and Rank-r Lattices for the Time-Dependent Schrödinger Equation. SIAM J. Sci. Comput. 41(6): B1254-B1283 (2019) - [i6]Pieterjan Robbe, Dirk Nuyens, Stefan Vandewalle:
Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems. CoRR abs/1907.12334 (2019) - [i5]Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile, Dirk Nuyens:
Function integration, reconstruction and approximation using rank-1 lattices. CoRR abs/1908.01178 (2019) - [i4]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. CoRR abs/1910.06604 (2019) - [i3]Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan:
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. CoRR abs/1910.06606 (2019) - 2018
- [j19]Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens
, Robert Scheichl
, Ian H. Sloan
:
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Numerische Mathematik 140(2): 479-511 (2018) - [j18]Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens
, Robert Scheichl
, Ian H. Sloan
:
Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields. SIAM J. Numer. Anal. 56(3): 1871-1895 (2018) - [j17]Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens
, Grzegorz W. Wasilkowski:
Efficient Implementations of the Multivariate Decomposition Method for Approximating Infinite-Variate Integrals. SIAM J. Sci. Comput. 40(5): A3240-A3266 (2018) - 2017
- [j16]Dong T. P. Nguyen
, Dirk Nuyens
:
Multivariate integration over Rs with exponential rate of convergence. J. Comput. Appl. Math. 315: 327-342 (2017) - [j15]Frances Y. Kuo, Dirk Nuyens
, Leszek Plaskota
, Ian H. Sloan
, Grzegorz W. Wasilkowski:
Infinite-dimensional integration and the multivariate decomposition method. J. Comput. Appl. Math. 326: 217-234 (2017) - [j14]Pieterjan Robbe
, Dirk Nuyens
, Stefan Vandewalle
:
A Multi-Index Quasi-Monte Carlo Algorithm for Lognormal Diffusion Problems. SIAM J. Sci. Comput. 39(5) (2017) - [i2]Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens, Grzegorz W. Wasilkowski:
Efficient implementations of the Multivariate Decomposition Method for approximating infinite-variate integrals. CoRR abs/1712.06782 (2017) - 2016
- [j13]Dirk Nuyens
, Gowri Suryanarayana, Markus Weimar
:
Rank-1 lattice rules for multivariate integration in spaces of permutation-invariant functions - Error bounds and tractability. Adv. Comput. Math. 42(1): 55-84 (2016) - [j12]Frances Y. Kuo
, Dirk Nuyens
:
Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation. Found. Comput. Math. 16(6): 1631-1696 (2016) - [j11]Ronald Cools
, Frances Y. Kuo
, Dirk Nuyens
, Gowri Suryanarayana:
Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions. J. Complex. 36: 166-181 (2016) - [e1]Ronald Cools
, Dirk Nuyens:
Monte Carlo and Quasi-Monte Carlo Methods, MCQMC 2014, Leuven, Belgium, April 2014. Springer Proceedings in Mathematics and Statistics 163, Springer 2016, ISBN 978-3-319-33505-6 [contents] - 2014
- [j10]Josef Dick
, Dirk Nuyens
, Friedrich Pillichshammer
:
Lattice rules for nonperiodic smooth integrands. Numerische Mathematik 126(2): 259-291 (2014) - [j9]Josef Dick
, Frances Y. Kuo
, Quoc Thong Le Gia
, Dirk Nuyens
, Christoph Schwab:
Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. SIAM J. Numer. Anal. 52(6): 2676-2702 (2014) - [p1]Dirk Nuyens:
The construction of good lattice rules and polynomial lattice rules. Uniform Distribution and Quasi-Monte Carlo Methods 2014: 223-256 - 2013
- [j8]Nico Achtsis, Ronald Cools
, Dirk Nuyens
:
Conditional Sampling for Barrier Option Pricing under the LT Method. SIAM J. Financial Math. 4(1): 327-352 (2013) - 2012
- [j7]Fred J. Hickernell
, Peter Kritzer
, Frances Y. Kuo
, Dirk Nuyens
:
Weighted compound integration rules with higher order convergence for all N. Numer. Algorithms 59(2): 161-183 (2012) - [j6]Jan Baldeaux, Josef Dick
, Gunther Leobacher
, Dirk Nuyens
, Friedrich Pillichshammer
:
Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules. Numer. Algorithms 59(3): 403-431 (2012) - 2011
- [j5]Ivan G. Graham, Frances Y. Kuo
, Dirk Nuyens
, Robert Scheichl
, Ian H. Sloan
:
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. J. Comput. Phys. 230(10): 3668-3694 (2011) - 2010
- [j4]Ronald Cools
, Frances Y. Kuo
, Dirk Nuyens
:
Constructing lattice rules based on weighted degree of exactness and worst case error. Computing 87(1-2): 63-89 (2010)
2000 – 2009
- 2006
- [j3]Dirk Nuyens
, Ronald Cools
:
Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points. J. Complex. 22(1): 4-28 (2006) - [j2]Dirk Nuyens
, Ronald Cools
:
Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces. Math. Comput. 75(254): 903-920 (2006) - [j1]Ronald Cools
, Frances Y. Kuo
, Dirk Nuyens
:
Constructing Embedded Lattice Rules for Multivariate Integration. SIAM J. Sci. Comput. 28(6): 2162-2188 (2006) - 2004
- [i1]Dirk Nuyens, Ronald Cools:
Fast Component-By-Component Construction of Rank-1 Lattice Rules for (Non-)Primes (Part II). Algorithms and Complexity for Continuous Problems 2004
Coauthor Index
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