Frances Y. Kuo

UNSW Sydney — Australia

Mathematics · Physical Sciences

33h-index4.3kcitations169works1.32yr avg
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Research Topics

Mathematical Approximation and Integration(131), Probabilistic and Robust Engineering Design(61), Mathematical functions and polynomials(33), Advanced Numerical Methods in Computational Mathematics(21), Advanced Numerical Analysis Techniques(19)

Publications169 total

Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation
arXiv (Cornell University)·2025Open Access
Minimal Subsampled Rank-1 Lattices for Multivariate Approximation with Optimal Convergence Rate
arXiv (Cornell University)·2025Open Access
Density Estimation for Elliptic PDE with Random Input by Preintegration and Quasi-Monte Carlo Methods
SIAM Journal on Numerical Analysis·2025
A BPNN Model Based on Genetic Algorithms for Predicting Policyholders' Midway Surrender
電腦學刊·2025Open Access
Multilevel lattice-based kernel approximation for elliptic PDEs with random coefficients
arXiv (Cornell University)·2025Open Access
Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation
arXiv (Cornell University)·2025Open Access
Regularity and tailored regularization of Deep Neural Networks, with application to parametric PDEs in uncertainty quantification
ArXiv.org·2025Open Access
The Impact of Collaborative Digital Reading Annotation System on Learning Performance and Motivation in Solving Mathematical Application Problems
2024
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points
Constructive Approximation·2024· 2 cited
Corrigendum: Quasi–Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media
SIAM/ASA Journal on Uncertainty Quantification·2024
Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration
Numerische Mathematik·2024· 11 citedOpen Access
Density estimation for elliptic PDE with random input by preintegration and quasi-Monte Carlo methods
arXiv (Cornell University)·2024Open Access
Uncertainty quantification for random domains using periodic random variables
Numerische Mathematik·2024· 2 citedOpen Access
Theory and Construction of Quasi-Monte Carlo Rules for Asian Option Pricing and Density Estimation
Springer proceedings in mathematics & statistics·2024
Comparison of Two Search Criteria for Lattice-Based Kernel Approximation
Springer proceedings in mathematics & statistics·2024· 1 cited
Lattice-Based Kernel Approximation and Serendipitous Weights for Parametric PDEs in Very High Dimensions
Springer proceedings in mathematics & statistics·2024· 4 cited
ON THE EXPECTED UNIFORM ERROR OF BROWNIAN MOTION APPROXIMATED BY THE LÉVY–CIESIELSKI CONSTRUCTION
Bulletin of the Australian Mathematical Society·2023Open Access
Random-prime–fixed-vector randomised lattice-based algorithm for high-dimensional integration
Journal of Complexity·2023· 4 citedOpen Access
Random-prime--fixed-vector randomised lattice-based algorithm for high-dimensional integration
arXiv (Cornell University)·2023· 1 citedOpen Access
Comparison of Two Search Criteria for Lattice-based Kernel Approximation
arXiv (Cornell University)·2023Open Access
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Frequent Co-authors

Ian H. Sloan(31), Josef Dick(9), Dirk Nuyens(9), Henryk Woźniakowski(8), Christoph Schwab(6), Grzegorz W. Wasilkowski(6), Stephen Joe(5), Robert Scheichl(5), Ivan G. Graham(4), Michael Griebel(4), Ronald Cools(3), Benjamin J. Waterhouse(3), Peter Kritzer(3), G.W. Wasilkowski(2), James Nichols(2), Ch. Schwab(2), Quôc Thông Lê Gia(2), H. Woźniakowski(1), Elisabeth Ullmann(1), Friedrich Pillichshammer(1)