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ORCIDIan H. Sloan
- > Home > Persons > Ian H. Sloan
Publications
- 2024
[j114]Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik 156(1): 273-317 (2024)- 2023
- [j112]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
:
Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities. SIAM J. Numer. Anal. 61(1): 135-166 (2023) - [i18]Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions. CoRR abs/2303.17755 (2023) - [i17]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) - 2022
- [j111]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝd. Math. Comput. 91(336): 1837-1869 (2022) - [j110]Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan:
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Numerische Mathematik 150(1): 33-77 (2022) - [i13]Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan:
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. CoRR abs/2208.02767 (2022) - [i12]Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Uncertainty quantification for random domains using periodic random variables. CoRR abs/2210.17329 (2022) - [i11]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan, Abirami Srikumar:
Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation. CoRR abs/2212.11493 (2022) - 2021
- [j108]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) - [j107]Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan:
Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification 9(1): 106-134 (2021) - [j106]Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan:
A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty. SIAM/ASA J. Uncertain. Quantification 9(2): 354-383 (2021) - [j105]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) - [i10]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$. CoRR abs/2103.16075 (2021) - [i9]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration. CoRR abs/2112.10308 (2021) - [i8]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Preintegration is not smoothing when monotonicity fails. CoRR abs/2112.11621 (2021) - 2020
- [j103]Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan:
Uncertainty Quantification Using Periodic Random Variables. SIAM J. Numer. Anal. 58(2): 1068-1091 (2020) - [p1]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 - [i7]Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan:
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. CoRR abs/2004.12268 (2020) - [i6]Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan:
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. CoRR abs/2007.06367 (2020) - [i5]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) - 2019
- [j102]Michael Feischl, Frances Y. Kuo, Ian H. Sloan:
Correction to: Fast random field generation with H-matrices. Numerische Mathematik 142(3): 787 (2019) - [j101]Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo, Robert Scheichl, Ian H. Sloan:
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Numerische Mathematik 142(4): 863-915 (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) - [i2]Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan:
A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty. CoRR abs/1910.10022 (2019) - 2018
- [j96]Andreas Griewank, Frances Y. Kuo, Hernan Leövey, Ian H. Sloan:
High dimensional integration of kinks and jumps - Smoothing by preintegration. J. Comput. Appl. Math. 344: 259-274 (2018) - [j95]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Hiding the weights - CBC black box algorithms with a guaranteed error bound. Math. Comput. Simul. 143: 202-214 (2018) - [j94]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) - [j93]Michael Feischl, Frances Y. Kuo, Ian H. Sloan:
Fast random field generation with H-matrices. Numerische Mathematik 140(3): 639-676 (2018) - [j92]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) - 2017
- [j89]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) - [j88]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Multivariate integration for analytic functions with Gaussian kernels. Math. Comput. 86(304): 829-853 (2017) - [j87]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
Note on "The smoothing effect of integration in ℝd and the ANOVA decomposition". Math. Comput. 86(306): 1847-1854 (2017) - [j86]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Math. Comput. 86(306): 1855-1876 (2017) - [j85]Frances Y. Kuo, Robert Scheichl, Christoph Schwab, Ian H. Sloan, Elisabeth Ullmann:
Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems. Math. Comput. 86(308): 2827-2860 (2017) - 2015
- [j81]Frances Y. Kuo, Christoph Schwab, Ian H. Sloan:
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients. Found. Comput. Math. 15(2): 411-449 (2015) - [j77]Ivan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan:
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Numerische Mathematik 131(2): 329-368 (2015) - 2013
- [j68]Josef Dick, Frances Y. Kuo, Ian H. Sloan:
High-dimensional integration: The quasi-Monte Carlo way. Acta Numer. 22: 133-288 (2013) - [j67]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of integration in Rd and the ANOVA decomposition. Math. Comput. 82(281): 383-400 (2013) - 2012
- [j63]Frances Y. Kuo, Christoph Schwab, Ian H. Sloan:
Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients. SIAM J. Numer. Anal. 50(6): 3351-3374 (2012) - 2011
- [j58]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
- [j55]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Benjamin J. Waterhouse:
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. J. Complex. 26(2): 135-160 (2010) - [j53]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Liberating the dimension. J. Complex. 26(5): 422-454 (2010) - [j52]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of the ANOVA decomposition. J. Complex. 26(5): 523-551 (2010) - [j51]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
On decompositions of multivariate functions. Math. Comput. 79(270): 953-966 (2010) - 2008
- [j42]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Lattice rule algorithms for multivariate approximation in the average case setting. J. Complex. 24(2): 283-323 (2008) - 2007
- [j41]Kerstin Hesse, Frances Y. Kuo, Ian H. Sloan:
A component-by-component approach to efficient numerical integration over products of spheres. J. Complex. 23(1): 25-51 (2007) - [j39]Josef Dick, Peter Kritzer, Frances Y. Kuo, Ian H. Sloan:
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. J. Complex. 23(4-6): 752-772 (2007) - [j38]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Periodization strategy may fail in high dimensions. Numer. Algorithms 46(4): 369-391 (2007) - 2006
- [j36]Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Sloan:
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions. J. Complex. 22(1): 71-101 (2006) - 2005
- [j30]Frances Y. Kuo, Ian H. Sloan:
Quasi-Monte Carlo methods can be efficient for integration over products of spheres. J. Complex. 21(2): 196-210 (2005) - [j28]Josef Dick, Frances Y. Kuo, Friedrich Pillichshammer, Ian H. Sloan:
Construction algorithms for polynomial lattice rules for multivariate integration. Math. Comput. 74(252): 1895-1921 (2005) - 2002
- [j16]Ian H. Sloan, Frances Y. Kuo, Stephen Joe:
On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces. Math. Comput. 71(240): 1609-1640 (2002) - [j14]Ian H. Sloan, Frances Y. Kuo, Stephen Joe:
Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces. SIAM J. Numer. Anal. 40(5): 1650-1665 (2002)
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