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2020 – today
- 2024
[j67]Mahadevan Ganesh
, Frances Y. Kuo, Ian H. Sloan:
Corrigendum: Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification 12(1): 212 (2024)- [j66]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) - [j65]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. Numerische Mathematik 156(2): 565-608 (2024) - [i21]Alexander D. Gilbert, Frances Y. Kuo, Abirami Srikumar:
Density estimation for elliptic PDE with random input by preintegration and quasi-Monte Carlo methods. CoRR abs/2402.11807 (2024) - 2023
- [j64]Frances Y. Kuo, Dirk Nuyens, Laurence Wilkes:
Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration. J. Complex. 79: 101785 (2023) - [j63]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) - [i20]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) - [i19]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) - [i18]Frances Y. Kuo, Dirk Nuyens, Laurence Wilkes:
Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration. CoRR abs/2304.10413 (2023) - 2022
- [j62]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) - [j61]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) - [i17]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) - [i16]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) - [i15]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) - [i14]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
- [j60]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) - [j59]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) - [j58]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) - [j57]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) - [j56]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) - [i13]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) - [i12]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) - [i11]Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan:
Preintegration is not smoothing when monotonicity fails. CoRR abs/2112.11621 (2021) - 2020
- [j55]Dmitriy Bilyk, Aicke Hinrichs, Frances Y. Kuo, Klaus Ritter:
Guest editors' preface. J. Complex. 61: 101511 (2020) - [j54]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 - [i10]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) - [i9]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) - [i8]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
- [j53]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) - [j52]Michael Feischl, Frances Y. Kuo, Ian H. Sloan:
Correction to: Fast random field generation with H-matrices. Numerische Mathematik 142(3): 787 (2019) - [j51]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) - [i7]Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile, Dirk Nuyens:
Function integration, reconstruction and approximation using rank-1 lattices. CoRR abs/1908.01178 (2019) - [i6]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) - [i5]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) - [i4]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) - [i3]Dmitriy Bilyk, Aicke Hinrichs, Frances Y. Kuo, Klaus Ritter:
Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 19341). Dagstuhl Reports 9(8): 26-48 (2019) - 2018
- [j50]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) - [j49]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) - [j48]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) - [j47]Michael Feischl, Frances Y. Kuo, Ian H. Sloan:
Fast random field generation with H-matrices. Numerische Mathematik 140(3): 639-676 (2018) - [j46]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) - [j45]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
- [j44]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) - [j43]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Multivariate integration for analytic functions with Gaussian kernels. Math. Comput. 86(304): 829-853 (2017) - [j42]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) - [j41]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) - [j40]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) - [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
- [j39]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) - [j38]Frances Y. Kuo, Leszek Plaskota, Grzegorz W. Wasilkowski:
Optimal algorithms for doubly weighted approximation of univariate functions. J. Approx. Theory 201: 30-47 (2016) - [j37]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) - [j36]Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab:
Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations. SIAM J. Numer. Anal. 54(4): 2541-2568 (2016) - 2015
- [j35]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) - [j34]Michael Gnewuch, Frances Y. Kuo, Harald Niederreiter, Henryk Wozniakowski:
Guest Editors' Preface. J. Complex. 31(3): vi (2015) - [j33]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) - [j32]Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab:
Fast QMC Matrix-Vector Multiplication. SIAM J. Sci. Comput. 37(3) (2015) - 2014
- [j31]James A. Nichols, Frances Y. Kuo:
Fast CBC construction of randomly shifted lattice rules achieving O(n-1+δ) convergence for unbounded integrands over R5 in weighted spaces with POD weights. J. Complex. 30(4): 444-468 (2014) - [j30]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) - 2013
- [j29]Josef Dick, Frances Y. Kuo, Ian H. Sloan:
High-dimensional integration: The quasi-Monte Carlo way. Acta Numer. 22: 133-288 (2013) - [j28]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
- [j27]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) - [j26]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) - [i1]Alexander Keller, Frances Y. Kuo, Andreas Neuenkirch, Joseph F. Traub:
Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 12391). Dagstuhl Reports 2(9): 200-225 (2012) - 2011
- [j25]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
- [j24]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) - [j23]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) - [j22]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Liberating the dimension. J. Complex. 26(5): 422-454 (2010) - [j21]Michael Griebel, Frances Y. Kuo, Ian H. Sloan:
The smoothing effect of the ANOVA decomposition. J. Complex. 26(5): 523-551 (2010) - [j20]Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
On decompositions of multivariate functions. Math. Comput. 79(270): 953-966 (2010)
2000 – 2009
- 2009
- [j19]Frances Y. Kuo, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
On the power of standard information for multivariate approximation in the worst case setting. J. Approx. Theory 158(1): 97-125 (2009) - 2008
- [j18]Frances Y. Kuo, Grzegorz W. Wasilkowski, Henryk Wozniakowski:
Multivariate L∞ approximation in the worst case setting over reproducing kernel Hilbert spaces. J. Approx. Theory 152(2): 135-160 (2008) - [j17]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) - [j16]Stephen Joe, Frances Y. Kuo:
Constructing Sobol Sequences with Better Two-Dimensional Projections. SIAM J. Sci. Comput. 30(5): 2635-2654 (2008) - 2007
- [j15]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) - [j14]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) - [j13]Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski:
Periodization strategy may fail in high dimensions. Numer. Algorithms 46(4): 369-391 (2007) - 2006
- [j12]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) - [j11]Frances Y. Kuo, Grzegorz W. Wasilkowski, Benjamin J. Waterhouse:
Randomly shifted lattice rules for unbounded integrands. J. Complex. 22(5): 630-651 (2006) - [j10]Ronald Cools, Frances Y. Kuo, Dirk Nuyens:
Constructing Embedded Lattice Rules for Multivariate Integration. SIAM J. Sci. Comput. 28(6): 2162-2188 (2006) - 2005
- [j9]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) - [j8]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) - 2004
- [j7]Josef Dick, Frances Y. Kuo:
Reducing the construction cost of the component-by-component construction of good lattice rules. Math. Comput. 73(248): 1967-1988 (2004) - 2003
- [j6]Frances Y. Kuo:
Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces. J. Complex. 19(3): 301-320 (2003) - [j5]Frances Y. Kuo, Stephen Joe:
Component-By-Component Construction of Good Intermediate-Rank Lattice Rules. SIAM J. Numer. Anal. 41(4): 1465-1486 (2003) - [j4]Stephen Joe, Frances Y. Kuo:
Remark on algorithm 659: Implementing Sobol's quasirandom sequence generator. ACM Trans. Math. Softw. 29(1): 49-57 (2003) - 2002
- [j3]Frances Y. Kuo, Stephen Joe:
Component-by-Component Construction of Good Lattice Rules with a Composite Number of Points. J. Complex. 18(4): 943-976 (2002) - [j2]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) - [j1]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)
Coauthor Index
[j67] [j66] [j65] [j63] [i20] [i19] [j62] [j61] [i17] [i15] [i14] [j60] [j59] [j58] [j57] [i13] [i12] [i11] [j54] [p1] [i10] [i9] [i8] [j52] [j51] [i6] [i5] [i4] [j50] [j49] [j48] [j47] [j46] [j44] [j43] [j42] [j41] [j40] [j35] [j33] [j29] [j28] [j26] [j25] [j23] [j22] [j21] [j20] [j17] [j15] [j14] [j13] [j12] [j9] [j8] [j2] [j1]
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