142 citations · 696 across the 46 of their papers we have counts for
4 papers · 1 filter
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…
Numerical analysis of lognormal diffusions on the sphere
Lukas Herrmann, Annika Lang, Christoph Schwab
Numerical solutions of stationary diffusion equations on the unit sphere with isotropic lognormal diffusion coefficients are considered. Hölder regularity in sense for isotro…