9 citations · 12 across the 6 of their papers we have counts for
6 papers
Uncertainty Quantification in Atomistic Simulations of Silicon using Interatomic Potentials
I. R. Best, T. J. Sullivan, J. R. Kermode
Atomistic simulations often rely on interatomic potentials to access greater time- and length- scales than those accessible to first principles methods such as density functional t…
Hille's theorem for Bochner integrals of functions with values in locally convex spaces
T. J. Sullivan
Hille's theorem is a powerful classical result in vector measure theory. It asserts that the application of a closed, unbounded linear operator commutes with strong/Bochner integra…
Transporting Higher-Order Quadrature Rules: Quasi-Monte Carlo Points and Sparse Grids for Mixture Distributions
Ilja Klebanov, T. J. Sullivan
Integration against, and hence sampling from, high-dimensional probability distributions is of essential importance in many application areas and has been an active research area f…
Error bound analysis of the stochastic parareal algorithm
Kamran Pentland, Massimiliano Tamborrino, T. J. Sullivan
Stochastic parareal (SParareal) is a probabilistic variant of the popular parallel-in-time algorithm known as parareal. Similarly to parareal, it combines fine- and coarse-grained…
GParareal: A time-parallel ODE solver using Gaussian process emulation
Kamran Pentland, Massimiliano Tamborrino, T. J. Sullivan +2
Sequential numerical methods for integrating initial value problems (IVPs) can be prohibitively expensive when high numerical accuracy is required over the entire interval of integ…
Well-posedness of Bayesian inverse problems in quasi-Banach spaces with stable priors
T. J. Sullivan
The Bayesian perspective on inverse problems has attracted much mathematical attention in recent years. Particular attention has been paid to Bayesian inverse problems (BIPs) in wh…