Frances Y. Kuo
Orcid: 0000-0003-2123-6971
According to our database1,
Frances Y. Kuo
authored at least 79 papers
between 2002 and 2024.
Collaborative distances:
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Bibliography
2024
Numerische Mathematik, February, 2024
Density estimation for elliptic PDE with random input by preintegration and quasi-Monte Carlo methods.
CoRR, 2024
2023
Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration.
J. Complex., December, 2023
Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities.
SIAM J. Numer. Anal., February, 2023
Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions.
CoRR, 2023
2022
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification.
Numerische Mathematik, 2022
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ<sup>d</sup>.
Math. Comput., 2022
Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation.
CoRR, 2022
Constructing Embedded Lattice-based Algorithms for Multivariate Function Approximation with a Composite Number of Points.
CoRR, 2022
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration.
CoRR, 2022
2021
Math. Comput., 2021
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights.
Math. Comput., 2021
SIAM/ASA J. Uncertain. Quantification, 2021
Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media.
SIAM/ASA J. Uncertain. Quantification, 2021
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory.
J. Comput. Phys., 2021
Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration.
CoRR, 2021
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$.
CoRR, 2021
2020
SIAM J. Numer. Anal., 2020
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters.
Proceedings of the 75 Years of Mathematics of Computation, 2020
2019
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients.
Numerische Mathematik, 2019
Numerische Mathematik, 2019
Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension.
J. Approx. Theory, 2019
Dagstuhl Reports, 2019
CoRR, 2019
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters.
CoRR, 2019
2018
Efficient Implementations of the Multivariate Decomposition Method for Approximating Infinite-Variate Integrals.
SIAM J. Sci. Comput., 2018
SIAM J. Numer. Anal., 2018
Numerische Mathematik, 2018
Math. Comput. Simul., 2018
J. Comput. Appl. Math., 2018
2017
Math. Comput., 2017
Math. Comput., 2017
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth.
Math. Comput., 2017
Note on "The smoothing effect of integration in ℝ<sup>d</sup> and the ANOVA decomposition".
Math. Comput., 2017
J. Comput. Appl. Math., 2017
2016
Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations.
SIAM J. Numer. Anal., 2016
Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions.
J. Complex., 2016
J. Approx. Theory, 2016
Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation.
Found. Comput. Math., 2016
2015
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients.
Numerische Mathematik, 2015
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients.
Found. Comput. Math., 2015
2014
Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs.
SIAM J. Numer. Anal., 2014
Fast CBC construction of randomly shifted lattice rules achieving O(n<sup>-1+δ</sup>) convergence for unbounded integrands over R<sup>5</sup> in weighted spaces with POD weights.
J. Complex., 2014
2013
Math. Comput., 2013
2012
Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients.
SIAM J. Numer. Anal., 2012
Numer. Algorithms, 2012
Dagstuhl Reports, 2012
2011
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications.
J. Comput. Phys., 2011
2010
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands.
J. Complex., 2010
Constructing lattice rules based on weighted degree of exactness and worst case error.
Computing, 2010
2009
On the power of standard information for multivariate approximation in the worst case setting.
J. Approx. Theory, 2009
2008
SIAM J. Sci. Comput., 2008
J. Complex., 2008
Multivariate L<sub>∞</sub> approximation in the worst case setting over reproducing kernel Hilbert spaces.
J. Approx. Theory, 2008
2007
A component-by-component approach to efficient numerical integration over products of spheres.
J. Complex., 2007
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels.
J. Complex., 2007
2006
SIAM J. Sci. Comput., 2006
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions.
J. Complex., 2006
2005
Math. Comput., 2005
J. Complex., 2005
2004
Reducing the construction cost of the component-by-component construction of good lattice rules.
Math. Comput., 2004
2003
ACM Trans. Math. Softw., 2003
SIAM J. Numer. Anal., 2003
Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces.
J. Complex., 2003
2002
SIAM J. Numer. Anal., 2002
On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces.
Math. Comput., 2002
Component-by-Component Construction of Good Lattice Rules with a Composite Number of Points.
J. Complex., 2002