142 citations · 696 across the 46 of their papers we have counts for
3 papers · 2 filters
Multilevel higher order Quasi-Monte Carlo Bayesian Estimation
Josef Dick, Robert N. Gantner, Quoc T. Le Gia +1
We propose and analyze deterministic multilevel approximations for Bayesian inversion of operator equations with uncertain distributed parameters, subject to additive Gaussian meas…
Higher order Quasi-Monte Carlo integration for Bayesian Estimation
Josef Dick, Robert N. Gantner, Quoc T. Le Gia +1
We analyze combined Quasi-Monte Carlo quadrature and Finite Element approximations in Bayesian estimation of solutions to countably-parametric operator equations with holomorphic d…
Adaptive Anisotropic Petrov-Galerkin Methods for First Order Transport Equations
W. Dahmen, G. Kutyniok, W. -Q Lim +2
This paper builds on recent developments of adaptive methods for linear transport equations based on certain stable variational formulations of Petrov-Galerkin type. The variationa…