This work is based on the seminar titled 'Resiliency in Numerical Algorithm Design for
Extreme Scale Simulations' held March 1–6, 2020, at Schloss Dagstuhl, that was attended …

Moderately high-dimensional approximation problems can successfully be solved by
combining univariate approximation processes using an intelligent combination technique …

Plasma fusion is one of the promising candidates for an emission-free energy source and is
heavily investigated with high-resolution numerical simulations. Unfortunately, these …

The solution of high-dimensional problems, especially high-dimensional partial differential
equations (PDEs) that require the joint discretization of more than the usual three spatial …

With future exascale computers expected to have millions of compute units distributed
among thousands of nodes, system faults are predicted to become more frequent. Fault …

In this work, we discuss measures to increase the scalability, robustness, and efficiency of
the Combination Technique. In particular, we introduce an asynchronous variant and …

The solution of higher-dimensional problems, such as the simulation of plasma turbulence in
a fusion device as described by the five-dimensional gyrokinetic equations, is a grand …

Within the current reporting period (04/2016–04/2017) of our HLRS project we have
developed a scalable implementation of the fault-tolerant combination technique. Fault …

Wireless Sensor Network (WSN) technologies provide advantages that allow them to
replace traditional wired systems in an ever growing number of applications. This paper …

We present convergence results in expectation for stochastic subspace correction schemes
and their accelerated versions to solve symmetric positive-definite variational problems, and …