838 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Forschungszentrum JülichDE268 papers
- University of WuppertalDE96 papers
- RWTH Aachen UniversityDE58 papers
- Eötvös Loránd UniversityHU57 papers
- University of GroningenNL48 papers
- University of RegensburgDE41 papers
- Zernike Institute for Advanced MaterialsNL37 papers
- University of EdinburghGB25 papers
- Deutsches Elektronen-Synchrotron DESYDE23 papers
- University of LiverpoolGB21 papers
- Centre National de la Recherche ScientifiqueFR20 papers
- The University of AdelaideAU19 papers
17 papers · 1 filter
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…
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…
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
E. O. Asante-Asamani, A. Kleefeld, B. A. Wade
A second-order -stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having…
Rational spectral filters with optimal convergence rate
Konrad Kollnig, Paolo Bientinesi, Edoardo Di Napoli
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of large and sparse eigenvalue problems. Building upon recent performance improveme…
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…
A Structured Approach to the Construction of Stable Linear Lattice-Boltzmann Collision Operators
Philipp Otte, Martin Frank
We introduce a structured approach to the construction of linear BGK-type collision operators ensuring that the resulting Lattice-Boltzmann methods are stable with respect to a wei…
Shape optimization for interior Neumann and transmission eigenvalues
Andreas Kleefeld
Shape optimization problems for interior eigenvalues is a very challenging task since already the computation of interior eigenvalues for a given shape is far from trivial. For exa…
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…
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…
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…
Efficient estimation of eigenvalue counts in an interval
Edoardo Di Napoli, Eric Polizzi, Yousef Saad
Estimating the number of eigenvalues located in a given interval of a large sparse Hermitian matrix is an important problem in certain applications and it is a prerequisite of eige…
A multi-level spectral deferred correction method
Robert Speck, Daniel Ruprecht, Matthew Emmett +3
The spectral deferred correction (SDC) method is an iterative scheme for computing a higher-order collocation solution to an ODE by performing a series of correction sweeps using a…
Dissecting the FEAST algorithm for generalized eigenproblems
Lukas Krämer, Edoardo Di Napoli, Martin Galgon +2
We analyze the FEAST method for computing selected eigenvalues and eigenvectors of large sparse matrix pencils. After establishing the close connection between FEAST and the well-k…