Frances Kuo

Q: What Schools Are Affiliated With Frances Kuo

Frances Kuo is affiliated with the following schools: University of New South Wales, University of Waikato, University of New Zealand

Frances Kuo's AcademicInfluence.com Rankings

Frances Kuo

Mathematics

#4029

World Rank

#5808

Historical Rank

Measure Theory

#3232

World Rank

#3821

Historical Rank

mathematics Degrees

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Mathematics

Why Is Frances Kuo Influential?

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According to Wikipedia, Frances Y. Kuo is an applied mathematician known for her research on low-discrepancy sequences and quasi-Monte Carlo methods for numerical integration and finite element analysis. Originally from Taiwan, she was educated in New Zealand, and works in Australia as a professor in applied mathematics at the University of New South Wales.

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Frances Kuo's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

High-dimensional integration: The quasi-Monte Carlo way*† (2013) (545)
Remark on algorithm 659: Implementing Sobol's quasirandom sequence generator (2003) (344)
Constructing Sobol Sequences with Better Two-Dimensional Projections (2008) (280)
Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients (2012) (227)
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications (2011) (166)
Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces (2003) (159)
Lifting the Curse of Dimensionality (2005) (152)
On decompositions of multivariate functions (2009) (145)
Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces (2002) (141)
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients (2015) (116)
Constructing Embedded Lattice Rules for Multivariate Integration (2006) (114)
On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces (2002) (99)
Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation (2016) (95)
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients (2015) (92)
Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs (2014) (86)
Construction algorithms for polynomial lattice rules for multivariate integration (2005) (78)
Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems (2015) (76)
Liberating the dimension (2010) (72)
QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND (2011) (68)
Lattice Rules for Multivariate Approximation in the Worst Case Setting (2006) (64)
On the power of standard information for multivariate approximation in the worst case setting (2009) (58)
The smoothing effect of the ANOVA decomposition (2010) (57)
Lattice rule algorithms for multivariate approximation in the average case setting (2008) (51)
Component-by-Component Construction of Good Lattice Rules with a Composite Number of Points (2002) (48)
Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands (2010) (47)
The smoothing effect of integration in Rd and the ANOVA decomposition (2013) (44)
Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations (2016) (42)
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 (2014) (42)
Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields (2017) (40)
Quasi-Monte Carlo for finance applications (2008) (40)
Randomly shifted lattice rules for unbounded integrands (2006) (34)
Constructing lattice rules based on weighted degree of exactness and worst case error (2010) (32)
Higher order QMC Galerkin discretization for parametric operator equations (2013) (32)
Multivariate L∞ approximation in the worst case setting over reproducing kernel Hilbert spaces (2008) (32)
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients (2017) (29)
Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels (2007) (27)
Note on "The smoothing effect of integration in ℝd and the ANOVA decomposition" (2012) (26)
Quasi-Monte Carlo methods can be efficient for integration over products of spheres (2005) (26)
Fast random field generation with H-matrices (2017) (26)
A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty (2021) (25)
High dimensional integration of kinks and jumps - Smoothing by preintegration (2017) (24)
Multi-level higher order QMC Galerkin discretization for affine parametric operator equations (2014) (22)
Lattice Algorithms for Multivariate L∞ Approximation in the Worst-Case Setting (2009) (21)
Periodization strategy may fail in high dimensions (2007) (21)
Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions (2016) (20)
Monte Carlo and quasi-Monte Carlo methods 2012 (2013) (20)
CORRECTION TO “QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND” (2012) (20)
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients (2018) (19)
Reducing the construction cost of the component-by-component construction of good lattice rules (2003) (19)
Weighted compound integration rules with higher order convergence for all N (2012) (19)
Quasi-Monte Carlo for Highly Structured Generalised Response Models (2008) (18)
Infinite-dimensional integration and the multivariate decomposition method (2015) (18)
Function integration, reconstruction and approximation using rank-1 lattices (2019) (17)
Constructing Good Lattice Rules with Millions of Points (2004) (15)
The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth (2016) (14)
Component-By-Component Construction of Good Intermediate-Rank Lattice Rules (2003) (13)
Gauss-Hermite quadratures for functions from Hilbert spaces with Gaussian reproducing kernels (2012) (13)
Fast QMC Matrix-Vector Multiplication (2015) (13)
Uncertainty Quantification Using Periodic Random Variables (2019) (12)
Quasi-Monte Carlo finite element methods for elliptic PDEs with log-normal random coefficient (2013) (12)
Efficient implementations of the Multivariate Decomposition Method for approximating infinite-variate integrals (2017) (12)
Multivariate integration for analytic functions with Gaussian kernels (2016) (11)
On the Choice of Weights in a Function Space for Quasi-Monte Carlo Methods for a Class of Generalised Response Models in Statistics (2013) (10)
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions (2006) (10)
Algorithms and Complexity for Continuous Problems (2012) (10)
Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension (2017) (9)
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification (2020) (9)
A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty (2019) (9)
Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients (2016) (8)
Application of quasi-Monte Carlo methods to PDEs with random coefficients -- an overview and tutorial (2016) (7)
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media (2020) (7)
Hot new directions for quasi-Monte Carlo research in step with applications (2016) (6)
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration (2022) (6)
REDUCING THE CONSTRUCTION COST OF THE COMPONENT-BY-COMPONENT CONSTRUCTION OF GOOD LATTICE RULES (2004) (6)
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights (2019) (5)
Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters (2019) (5)
A component-by-component approach to efficient numerical integration over products of spheres (2007) (5)
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$ (2021) (4)
Preintegration is not smoothing when monotonicity fails (2021) (4)
On the power of standard information for L∞ approximation in the randomized setting (2009) (4)
Quasi-Monte Carlo methods for computing flow in random porous media (2010) (3)
The multivariate decomposition method for infinite-dimensional integration (2015) (3)
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients (2016) (2)
On the expected uniform error of geometric Brownian motion approximated by the L\'evy-Ciesielski construction (2017) (2)
Approximation in cosine space using tent transformed lattice rules (2014) (2)
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory (2020) (2)
Uncertainty quantification for random domains using periodic random variables (2022) (2)
Constructing Embedded Lattice-based Algorithms for Multivariate Function Approximation with a Composite Number of Points (2022) (2)
Sobol Sequences with Better Two-Dimensional Projections [R package SobolSequence version 1.0] (2017) (1)
Worst-Case Error for Unshifted Lattice Rules Without Randomisation (2018) (1)
Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration (2021) (1)
Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation (2016) (1)
Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients (2015) (1)
Hiding the weights - CBC black box algorithms with a guaranteed error bound (2018) (1)
Analysis of Preintegration Followed by Quasi–Monte Carlo Integration for Distribution Functions and Densities (2021) (1)
Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions (2023) (1)
Optimal algorithms for doubly weighted approximation of univariate functions (2016) (1)
An illustrated story of fast construction of embedded lattice sequences for weighted spaces (2005) (0)
Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation (2022) (0)
Approximation with lattice points (2015) (0)
Quasi-Monte Carlo and FFT sampling for elliptic PDEs with lognormal random coefficients (2016) (0)
Correction to: Lattice Algorithms for Multivariate $$L_\infty $$ L ∞ Approximation in the Worst-Case Setting (2020) (0)
Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration (2023) (0)
Lattice field computations via recursive numerical integration (2021) (0)
Quasi-Monte Carlo methods using circulant embedding techniques for elliptic PDEs with random coefficients (2016) (0)
Weighted compound integration rules with higher order convergence for all N (2011) (0)
Fast random field generation with H-matrices (2018) (0)
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients (2014) (0)
202 12391 – Algorithms and Complexity for Continuous Problems 2 Table of Contents (2013) (0)
Uniform Distribution Theory and Applications (2013) (0)
Construction of quasi-Monte Carlo methods for parametric PDE problems (2015) (0)
Quasi-Monte Carlo for ﬁnance applications (2008) (0)
Gauss-Hermite quadratures for functions from Hilbert spaces with Gaussian reproducing kernels (2011) (0)
Guest Editors' Preface (2015) (0)
ON DECOMPOSITIONS OF MULTIVARIATE FUNCTIONS (2010) (0)
Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 19341) (2019) (0)
Correction to: Fast random field generation with H-matrices (2019) (0)
An algorithm for the construction of weighted degree lattice rules (2010) (0)
Correction to: Fast random field generation with H-matrices (2019) (0)
Stolarsky’s Invariance Principle and Discrepancy of Point Sets on the Sphere (2013) (0)
Application of QMC methods to PDEs with random coefficients : a survey of analysis and implementation (2016) (0)
On the expected uniform error of Brownian motion approximated by the L\'evy-Ciesielski construction (2017) (0)
Integration and approximation in cosine space (2015) (0)
High order of convergence using lattice sequences for numerical integration (2008) (0)
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients (2018) (0)
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients (2019) (0)
N A ] 1 9 M ay 2 01 9 Uncertainty quantification using periodic random variables (2019) (0)
Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 12391) (2012) (0)
On higher order of convergence using lattice sequences (2009) (0)
Comparison of Two Search Criteria for Lattice-based Kernel Approximation (2023) (0)
Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification (2021) (0)
Constructing good embedded lattice sequences with millions of points (2005) (0)
Derandomised lattice rules for high dimensional integration (2019) (0)

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What Schools Are Affiliated With Frances Kuo?

Frances Kuo is affiliated with the following schools: