The space-time adaptive ADER finite element DG method with a posteriori correction
technique of solutions on subcells by the finite-volume ADER-WENO limiter was used to …

High-order discontinuous Galerkin (DG) methods promise to be an excellent discretization
paradigm for hyperbolic differential equation solvers running on supercomputers, since they …

The space–time adaptive ADER-DG finite element method with LST-DG predictor and a
posteriori sub-cell ADER-WENO finite-volume limiting was used for simulation of …

Increasingly complex hardware architectures as well as numerical algorithms make
balancing load in parallel numerical software for adaptive mesh refinement an inherently …

Balancing the workload of sophisticated simulations is inherently difficult, since we have to
balance both computational workload and memory footprint over meshes that can change …

Resilient algorithms in high-performance computing are subject to rigorous non-functional
constraints. Resiliency must not increase the runtime, memory footprint or I/O demands too …

Numerical methods of the ADER family, in particular finite-element ADER-DG and finite-
volume ADER-WENO methods, are among the most accurate numerical methods for solving …

As we have entered Exascale computing, the faults in high-performance systems are
expected to increase considerably. To compensate for a higher failure rate, the standard …

With ever growing system complexity the mean time between failures (MTBF) of HPC
systems is getting shorter. The conventional solution to failures in those kind of systems is …

The QuickSched fine-grained task-based scheduler (used in the Swift astrophysical smooth
particle hydrodynamics code) was modified so that the scheduler is located in a separate …