86 citations · 242 across the 30 of their papers we have counts for
4 papers · 1 filter
Preintegration is not smoothing when monotonicity fails
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
Preintegration is a technique for high-dimensional integration over -dimensional Euclidean space, which is designed to reduce an integral whose integrand contains kinks or jumps…
Lattice field computations via recursive numerical integration
Tobias Hartung, Karl Jansen, Frances Y. Kuo +3
We investigate the application of efficient recursive numerical integration strategies to models in lattice gauge theory from quantum field theory. Given the coupling structure of…
Analysis of preintegration followed by quasi-Monte Carlo integration for distribution functions and densities
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
In this paper, we analyse a method for approximating the distribution function and density of a random variable that depends in a non-trivial way on a possibly high number of indep…
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on
Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
We prove that a variant of the classical Sobolev space of first-order dominating mixed smoothness is equivalent (under a certain condition) to the unanchored ANOVA space on $\mathb…