9 papers
On the Stability of Exponential Integrators for Non-Diffusive Equations
Tommaso Buvoli, Michael L. Minion
Exponential integrators are a well-known class of time integration methods that have been the subject of many studies and developments in the past two decades. Surprisingly, there…
Twelve Ways To Fool The Masses When Giving Parallel-In-Time Results
Sebastian Goetschel, Michael Minion, Daniel Ruprecht +1
Getting good speedup -- let alone high parallel efficiency -- for parallel-in-time (PinT) integration examples can be frustratingly difficult. The high complexity and large number…
IMEX Runge-Kutta Parareal for Non-Diffusive Equations
Tommaso Buvoli, Michael L. Minion
Parareal is a widely studied parallel-in-time method that can achieve meaningful speedup on certain problems. However, it is well known that the method typically performs poorly on…
An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem
Pietro Benedusi, Michael Minion, Rolf Krause
We consider two parallel-in-time approaches applied to a (reaction) diffusion problem, possibly non-linear. In particular, we consider PFASST (Parallel Full Approximation Scheme in…
Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections
M. Zingale, M. P. Katz, J. B. Bell +3
Simulations in stellar astrophysics involve the coupling of hydrodynamics and nuclear reactions under a wide variety of conditions, from simmering convective flows to explosive nuc…
Parallel-in-Time Multi-Level Integration of the Shallow-Water Equations on the Rotating Sphere
Francois P. Hamon, Martin Schreiber, Michael L. Minion
The modeling of atmospheric processes in the context of weather and climate simulations is an important and computationally expensive challenge. The temporal integration of the und…