The quantification of probabilistic uncertainties in the outputs of physical, biological, and
social systems governed by partial differential equations with random inputs require, in …

Mantle convection is the fundamental physical process within earth's interior responsible for
the thermal and geological evolution of the planet, including plate tectonics. The mantle is …

We introduce a new open-source software library $ Jet $, which uses task-based parallelism
to obtain speed-ups in classical tensor-network simulations of quantum circuits. These …

With exascale-level computation on the horizon, the art of predicting the cost of
computations has acquired a renewed focus. This task is especially challenging in the case …

We propose an adaptive scheme to reduce communication overhead caused by data
movement by selectively storing the diagonal blocks of a block‐Jacobi preconditioner in …

Non-linear entropy stability and a summation-by-parts framework are used to derive entropy
stable wall boundary conditions for the three-dimensional compressible Navier–Stokes …

Advancements in the field of high-performance scientific computing are necessary to
address the most important challenges we face in the 21st century. From physical modeling …

The use of mixed precision in numerical algorithms is a promising strategy for accelerating
scientific applications. In particular, the adoption of specialized hardware and data formats …

The paper derives and analyses the (semi-) discrete dispersion relation of the Parareal
parallel-in-time integration method. It investigates Parareal's wave propagation …

We discuss the design decisions, design alternatives, and rationale behind the third
generation of Peano, a framework for dynamically adaptive Cartesian meshes derived from …