We review recent results on dimension-robust higher order convergence rates of Quasi-Monte Carlo Petrov-Galerkin approximations for response functionals of infinite-dimensional, parametric operator equations which arise in computational uncertainty quantification.
@article{arxiv.1409.7970,
title = {Higher Order Quasi Monte-Carlo Integration in Uncertainty Quantification},
author = {Josef Dick and Quoc Thong Le Gia and Christoph Schwab},
journal= {arXiv preprint arXiv:1409.7970},
year = {2014}
}