7 citations · 7 across the 2 of their papers we have counts for
6 papers
Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory
Tobias Hartung, Karl Jansen, Frances Y. Kuo +3
High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class o…
Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media
M. Ganesh, Frances Y. Kuo, Ian H. Sloan
We propose and analyze a quasi-Monte Carlo (QMC) algorithm for efficient simulation of wave propagation modeled by the Helmholtz equation in a bounded region in which the refractiv…
A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty
Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo +2
We study an optimal control problem under uncertainty, where the target function is the solution of an elliptic partial differential equation with random coefficients, steered by a…
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights
Ronald Cools, Frances Y. Kuo, Dirk Nuyens +1
In a recent paper by the same authors, we provided a theoretical foundation for the component-by-component (CBC) construction of lattice algorithms for multivariate approxima…
Function integration, reconstruction and approximation using rank-1 lattices
Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile +1
We consider rank-1 lattices for integration and reconstruction of functions with series expansion supported on a finite index set. We explore the connection between the periodic Fo…
Uncertainty quantification using periodic random variables
Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
Many studies in uncertainty quantification have been carried out under the assumption of an input random field in which a countable number of independent random variables are each…