5 papers · 1 filter
Adaptive time step selection for Spectral Deferred Correction
Thomas Saupe, Sebastian Götschel, Thibaut Lunet +2
Spectral Deferred Correction (SDC) is an iterative method for the numerical solution of ordinary differential equations. It works by refining the numerical solution for an initial…
Spectral deferred correction methods for second-order problems
Ikrom Akramov, Sebastian Götschel, Michael Minion +2
Spectral deferred corrections (SDC) are a class of iterative methods for the numerical solution of ordinary differential equations. SDC can be interpreted as a Picard iteration to…
The Parallel Full Approximation Scheme in Space and Time for a Parabolic Finite Element Problem
Oliver Sander, Ruth Schöbel, Robert Speck
The parallel full approximation scheme in space and time (PFASST) is a parallel-in-time integrator that allows to integrate multiple time-steps simultaneously. It has been shown to…
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…
Time-parallel simulation of the Schrödinger Equation
Hannah Rittich, Robert Speck
The numerical simulation of the time-dependent Schrödinger equation for quantum systems is a very active research topic. Yet, resolving the solution sufficiently in space and time…