74 citations · 530 across the 30 of their papers we have counts for
5 papers · 1 filter
A stencil-based implementation of Parareal in the C++ domain specific embedded language STELLA
Andrea Arteaga, Daniel Ruprecht, Rolf Krause
In view of the rapid rise of the number of cores in modern supercomputers, time-parallel methods that introduce concurrency along the temporal axis are becoming increasingly popula…
A high-order Boris integrator
Mathias Winkel, Robert Speck, Daniel Ruprecht
This work introduces the high-order Boris-SDC method for integrating the equations of motion for electrically charged particles in an electric and magnetic field. Boris-SDC relies…
Interweaving PFASST and Parallel Multigrid
Michael Minion, Robert Speck, Matthias Bolten +2
The parallel full approximation scheme in space and time (PFASST) introduced by Emmett and Minion in 2012 is an iterative strategy for the temporal parallelization of ODEs and disc…
Parareal for diffusion problems with space- and time-dependent coefficients
Daniel Ruprecht, Robert Speck, Rolf Krause
For the time-parallel Parareal method, there exists both numerical and analytical proof that it converges very well for diffusive problems like the heat equation. Many applications…
Inexact spectral deferred corrections
Robert Speck, Daniel Ruprecht, Michael Minion +2
Spectral deferred correction (SDC) methods are an attractive approach to iteratively computing collocation solutions to an ODE by performing so-called sweeps with a low-order time…