74 citations · 300 across the 24 of their papers we have counts for
29 papers
Space-Time Parallel Direct Numerical Simulation of Rayleigh-Bénard Convection
Thomas Saupe, Thibaut Lunet, Mathis Bode +3
Rayleigh-Bénard convection (RBC) is a model for turbulent flow and challenging to simulate by direct numerical simulation (DNS). Adequate resolution of all relevant length scales r…
Perspectives on Sustainable Computational Science and Engineering
Julia Kowalski, Ann S. Almgren, Achim Basermann +43
Computational Science and Engineering (CSE) combines expertise at the intersection of engineering, applied mathematics, and computer science to form powerful methods for model-base…
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…
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…
A unified analysis framework for iterative parallel-in-time algorithms
M. J. Gander, T. Lunet, D. Ruprecht +1
Parallel-in-time integration has been the focus of intensive research efforts over the past two decades due to the advent of massively parallel computer architectures and the scali…
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…
A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems
Gayatri Caklovic, Robert Speck, Martin Frank
We present and analyze a parallel implementation of a parallel-in-time collocation method based on -circulant preconditioned Richardson iterations. While many papers explore thi…
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…
Resiliency in Numerical Algorithm Design for Extreme Scale Simulations
Emmanuel Agullo, Mirco Altenbernd, Hartwig Anzt +33
This work is based on the seminar titled ``Resiliency in Numerical Algorithm Design for Extreme Scale Simulations'' held March 1-6, 2020 at Schloss Dagstuhl, that was attended by a…
Convergence analysis of multi-level spectral deferred corrections
Gitte Kremling, Robert Speck
The spectral deferred correction (SDC) method is class of iterative solvers for ordinary differential equations (ODEs). It can be interpreted as a preconditioned Picard iteration f…
PFASST-ER: Combining the Parallel Full Approximation Scheme in Space and Time with parallelization across the method
Ruth Schöbel, Robert Speck
To extend prevailing scaling limits when solving time-dependent partial differential equations, the parallel full approximation scheme in space and time (PFASST) has been shown to…
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…
Using performance analysis tools for parallel-in-time integrators -- Does my time-parallel code do what I think it does?
Robert Speck, Michael Knobloch, Sebastian Lührs +1
While many ideas and proofs of concept for parallel-in-time integration methods exists, the number of large-scale, accessible time-parallel codes is rather small. This is often due…
pySDC - Prototyping spectral deferred corrections
Robert Speck
In this paper we present the Python framework pySDC for solving collocation problems with spectral deferred correction methods (SDC) and their time-parallel variant PFASST, the par…
Parallelizing spectral deferred corrections across the method
Robert Speck
In this paper we present two strategies to enable "parallelization across the method" for spectral deferred corrections (SDC). Using standard low-order time-stepping methods in an…
Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems
Matthias Bolten, Dieter Moser, Robert Speck
For time-dependent partial differential equations, parallel-in-time integration using the "parallel full approximation scheme in space and time" (PFASST) is a promising way to acce…
A multigrid perspective on the parallel full approximation scheme in space and time
Matthias Bolten, Dieter Moser, Robert Speck
For the numerical solution of time-dependent partial differential equations, time-parallel methods have recently shown to provide a promising way to extend prevailing strong-scalin…
Spectral deferred corrections with fast-wave slow-wave splitting
Daniel Ruprecht, Robert Speck
The paper investigates a variant of semi-implicit spectral deferred corrections (SISDC) in which the stiff, fast dynamics correspond to fast propagating waves ("fast-wave slow-wave…
Toward fault-tolerant parallel-in-time integration with PFASST
Robert Speck, Daniel Ruprecht
We introduce and analyze different strategies for the parallel-in-time integration method PFASST to recover from hard faults and subsequent data loss. Since PFASST stores solutions…
Numerical simulation of skin transport using Parareal
Andreas Kreienbuehl, Arne Naegel, Daniel Ruprecht +3
In-silico investigation of skin permeation is an important but also computationally demanding problem. To resolve all scales involved in full detail will not only require exascale…
Solving the Klein-Gordon equation using Fourier spectral methods: A benchmark test for computer performance
S. Aseeri, O. Batrašev, M. Icardi +12
The cubic Klein-Gordon equation is a simple but non-trivial partial differential equation whose numerical solution has the main building blocks required for the solution of many ot…
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…