Abstract ExaHyPE (“An Exascale Hyperbolic PDE Engine”) is a software engine for solving
systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are …

We present a highly-scalable framework that targets problems of interest to the numerical
relativity and broader astrophysics communities. This framework combines a parallel octree …

We present results from the new dendro-gr code. These include simulations of binary black
hole mergers for mass ratios up to q= 16. dendro-gr uses wavelet adaptive multiresolution to …

Abstract The EU Center of Excellence for Exascale in Solid Earth (ChEESE) develops
exascale transition capabilities in the domain of Solid Earth, an area of geophysics rich in …

We identify and show how to overcome an OpenMP bottleneck in the administration of GPU
memory. It arises for a wave equation solver on dynamically adaptive block-structured …

Efficiently and accurately simulating partial differential equations (PDEs) in and around
arbitrarily defined geometries, especially with high levels of adaptivity, has significant …

We present the design and implementation details of a geometric multigrid method on
adaptively refined meshes for massively parallel computations. The method uses local …

The excellent performance of the proton exchange membrane fuel cell (PEMFC) requires
the combined efforts of several components, and one of the most important influences is the …

The spherical collapse scenario has great importance in cosmology since it captures several
crucial aspects of structure formation. The presence of self-similar solutions in the Einstein …

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