74 citations · 530 across the 30 of their papers we have counts for
31 papers
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…
Parareal with a physics-informed neural network as coarse propagator
Abdul Qadir Ibrahim, Sebastian Götschel, Daniel Ruprecht
Parallel-in-time algorithms provide an additional layer of concurrency for the numerical integration of models based on time-dependent differential equations. Methods like Parareal…
Parallel Computation of Inverse Compton Scattering Radiation Spectra based on Liénard-Wiechert Potentials
Yi-Kai Kan, Franz X. Kärtner, Sabine Le Borne +2
Inverse Compton Scattering (ICS) has gained much attention recently because of its promise for the development of table-top-size X-ray light sources. Precise and fast simulation is…
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…
New applications for the Boris Spectral Deferred Correction algorithm for plasma simulations
Kris Smedt, Daniel Ruprecht, Jitse Niesen +2
The paper investigates two new use cases for the Boris Spectral Deferred Corrections (Boris-SDC) time integrator for plasma simulations. First, we show that using Boris-SDC as a pa…
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…
Performance of the BGSDC integrator for computing fast ion trajectories in nuclear fusion reactors
Krasymyr Tretiak, James Buchanan, Rob Akers +1
Modelling neutral beam injection (NBI) in fusion reactors requires computing the trajectories of large ensembles of particles. Slowing down times of up to one second combined with…
Performance of parallel-in-time integration for Rayleigh Bénard Convection
Andrew Clarke, Chris Davies, Daniel Ruprecht +2
Rayleigh-Bénard convection (RBC) is a fundamental problem of fluid dynamics, with many applications to geophysical, astrophysical, and industrial flows. Understanding RBC at parame…
Parareal with a Learned Coarse Model for Robotic Manipulation
Wisdom Agboh, Oliver Grainger, Daniel Ruprecht +1
A key component of many robotics model-based planning and control algorithms is physics predictions, that is, forecasting a sequence of states given an initial state and a sequence…
Combining Coarse and Fine Physics for Manipulation using Parallel-in-Time Integration
Wisdom C. Agboh, Daniel Ruprecht, Mehmet R. Dogar
We present a method for fast and accurate physics-based predictions during non-prehensile manipulation planning and control. Given an initial state and a sequence of controls, the…
An arbitrary order time-stepping algorithm for tracking particles in inhomogeneous magnetic fields
Krasymyr Tretiak, Daniel Ruprecht
The Lorentz equations describe the motion of electrically charged particles in electric and magnetic fields and are used widely in plasma physics. The most popular numerical algori…
Toward transient finite element simulation of thermal deformation of machine tools in real-time
Andreas Naumann, Daniel Ruprecht, Joerg Wensch
Finite element models without simplifying assumptions can accurately describe the spatial and temporal distribution of heat in machine tools as well as the resulting deformation. I…
Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow
Roberto Croce, Daniel Ruprecht, Rolf Krause
In this paper we combine the Parareal parallel-in-time method together with spatial parallelization and investigate this space-time parallel scheme by means of solving the three-di…
Wave propagation characteristics of Parareal
Daniel Ruprecht
The paper derives and analyses the (semi-)discrete dispersion relation of the Parareal parallel-in-time integration method. It investigates Parareal's wave propagation characterist…
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…
Explicit Parallel-in-time Integration of a Linear Acoustic-Advection System
Daniel Ruprecht, Rolf Krause
The applicability of the Parareal parallel-in-time integration scheme for the solution of a linear, two-dimensional hyperbolic acoustic-advection system, which is often used as a t…
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…
Parareal convergence for 2D unsteady flow around a cylinder
Andreas Kreienbuehl, Arne Naegel, Daniel Ruprecht +3
In this technical report we study the convergence of Parareal for 2D incompressible flow around a cylinder for different viscosities. Two methods are used as fine integrator: backw…
Shared Memory Pipelined Parareal
Daniel Ruprecht
For the parallel-in-time integration method Parareal, pipelining can be used to hide some of the cost of the serial correction step and improve its efficiency. The paper introduces…
Time parallel gravitational collapse simulation
Andreas Kreienbuehl, Pietro Benedusi, Daniel Ruprecht +1
This article demonstrates the applicability of the parallel-in-time method Parareal to the numerical solution of the Einstein gravity equations for the spherical collapse of a mass…
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…
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…