7 citations · 17 across the 14 of their papers we have counts for
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Resilience Against Soft Faults through Adaptivity in Spectral Deferred Correction
Thomas Saupe, Sebastian Götschel, Thibaut Lunet +2
As supercomputers grow in hardware complexity, their susceptibility to faults increases and measures need to be taken to ensure the correctness of results. Some numerical algorithm…
Relevance of the Basset history term for Lagrangian particle dynamics
Julio Urizarna-Carasa, Daniel Ruprecht, Alexandra von Kameke +1
The movement of small but finite spherical particles in a fluid can be described by the Maxey-Riley equation (MRE) if they are too large to be considered passive tracers. The MRE c…
Dynamic Deep Learning Based Super-Resolution For The Shallow Water Equations
Maximilian Witte, Fabricio Rodrigues Lapolli, Philip Freese +4
Using the nonlinear shallow water equations as benchmark, we demonstrate that a simulation with the ICON-O ocean model with a 20km resolution that is frequently corrected by a U-ne…
Space-time parallel scaling of Parareal with a physics-informed Fourier Neural Operator coarse propagator applied to the Black-Scholes equation
Abdul Qadir Ibrahim, Sebastian Götschel, Daniel Ruprecht
Iterative parallel-in-time algorithms like Parareal can extend scaling beyond the saturation of purely spatial parallelization when solving initial value problems. However, they re…
Parallel performance of shared memory parallel spectral deferred corrections
Philip Freese, Sebastian Götschel, Thibaut Lunet +2
We investigate the parallel performance of Parallel Spectral Deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial…
Improving Efficiency of Parallel Across the Method Spectral Deferred Corrections
Gayatri Čaklović, Thibaut Lunet, Sebastian Götschel +1
Parallel-across-the method time integration can provide small scale parallelism when solving initial value problems. Spectral deferred corrections (SDC) with a diagonal sweeper, wh…
Efficient numerical methods for the Maxey-Riley-Gatignol equations with Basset history term
Julio Urizarna-Carasa, Leon Schlegel, Daniel Ruprecht
The Maxey-Riley-Gatignol equations (MRGE) describe the motion of a finite-sized, spherical particle in a fluid. Because of wake effects, the force acting on a particle depends on i…