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math.NA2026
Massively parallel numerical simulations with Julia
Simon Candelaresi, Benedict Geihe, Marco Artiano +6
The Julia programming language aims to provide a modern approach to develop high-performance computing (HPC) applications. It tries to achieve this by combining a high-level, dynam…
math.NA2024
Fourth-Order Paired-Explicit Runge-Kutta Methods
Daniel Doehring, Lars Christmann, Michael Schlottke-Lakemper +2
In this paper, we extend the Paired-Explicit Runge-Kutta schemes by Vermeire et. al. to fourth-order of consistency. Based on the order conditions for partitioned Runge-Kutta metho…