Shuffle model of differential privacy is a novel distributed privacy model based on a
combination of local privacy mechanisms and a secure shuffler. It has been shown that the …

We approximate the solution for the time dependent Schrödinger equation in two steps.
We first use a pseudospectral collocation method that uses samples of the functions on rank …

We study multivariate integration of functions that are invariant under the permutation (of a
subset) of their arguments. Recently, in Nuyens et al.(Adv Comput Math 42 (1): 55–84 …

Practical structural engineering applications tend to exhibit a certain degree of uncertainty in
their material parameters, loading forces and so forth. As such, the accurate quantification of …

The numerical solution of stochastic partial differential equations and numerical Bayesian
estimation is computationally demanding. If the coefficients in a stochastic partial differential …

Applications and analysis of lattice points: time-step** and integration over Rd Page 1
ARENBERG DOCTORAL SCHOOL Faculty of Engineering Science Applications and analysis …

Motivated by problems from computational quantum physics we study the efficient numerical
integration of multivariate functions which are invariant under permutations (of subsets) of …

This thesis is focused on the problem of numerical multivariate integration in high
dimensions. In particular, we introduce the idea of interpolatory cubature formulas for …

Integration of permutation-invariant functions Page 1 Integration of permutationinvariant
functions M. Weimar Problem Korobov-type spaces Subspaces Reproducing kernels …

p-refined Multilevel Quasi-Monte Carlo for Galerkin Finite Element Methods with applications
in Geotechnical Engineering Page 1 p-refined Multilevel Quasi-Monte Carlo for Galerkin Finite …