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We present and analyze a parallel implementation of a parallel-in-time collocation method based on $\alpha$-circulant preconditioned Richardson iterations. While many papers explore this family of single-level, time-parallel "all-at-once"…

Numerical Analysis · Mathematics 2023-02-16 Gayatri Caklovic , Robert Speck , Martin Frank

The article describes parallel multiphysics simulations of charged particles in microfluidic flows with the waLBerla framework. To this end, three physical effects are coupled: rigid body dynamics, fluid flow modelled by a lattice Boltzmann…

Computational Engineering, Finance, and Science · Computer Science 2014-10-27 Dominik Bartuschat , Ulrich Rüde

In this paper, as opposed to the random phase masks, the structured illuminations with a pixel-dependent deterministic phase shift are considered to derandomize the model setup. The RAAR algorithm is modified to adapt to two or more…

Numerical Analysis · Mathematics 2017-02-01 Ji Li , Tie Zhou

This paper introduces an efficient and generic framework for finite-element simulations under an implicit time integration scheme. Being compatible with generic constitutive models, a fast matrix assembly method exploits the fact that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Ziqiu Zeng , Hadrien Courtecuisse

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

Optimization and Control · Mathematics 2008-01-22 S. Emre Tuna

In this article, we introduce, a novel open-source framework designed for efficient parallel computation of projections in tomography leveraging either multiple CPU cores or GPUs. This framework efficiently implements forward and back…

Medical Physics · Physics 2023-12-18 Georg Schramm , Kris Thielemans

In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conductors. The proposed solver is accelerated with the adaptive…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-30 Damian Marek , Shashwat Sharma , Piero Triverio

We consider partitioned time integration for heterogeneous coupled heat equations. First and second order multirate, as well as time-adaptive Dirichlet-Neumann Waveform relaxation (DNWR) methods are derived. In 1D and for implicit Euler…

Numerical Analysis · Mathematics 2021-07-28 Peter Meisrimel , Azahar Monge , Philipp Birken

Real-time coupled cluster (CC) methods have several advantages over their frequency-domain counterparts, namely, response and equation of motion CC theories. Broadband spectra, strong fields, and pulse manipulation allow for the simulation…

Chemical Physics · Physics 2023-08-04 Benjamin G. Peyton , Zhe Wang , T. Daniel Crawford

In this work, we investigate the potential utility of parallelization for meeting real-time constraints and minimizing energy. We consider malleable Gang scheduling of implicit-deadline sporadic tasks upon multiprocessors. We first show the…

Operating Systems · Computer Science 2013-02-08 Nathan Fisher , Joël Goossens , Pradeep M. Hettiarachchi , Antonio Paolillo

Despite the growing interest in parallel-in-time methods as an approach to accelerate numerical simulations in atmospheric modelling, improving their stability and convergence remains a substantial challenge for their application to…

Numerical Analysis · Mathematics 2023-10-27 João Guilherme Caldas Steinstraesser , Pedro da Silva Peixoto , Martin Schreiber

We present original time-parallel algorithms for the solution of the implicit Euler discretization of general linear parabolic evolution equations with time-dependent self-adjoint spatial operators. Motivated by the inf-sup theory of…

Numerical Analysis · Mathematics 2021-03-24 Martin Neumuller , Iain Smears

This paper addresses the validation of electric vehicle supply equipment by means of a real-time capable co-simulation approach. This setup implies both pure software and real-time simulation tasks with different sampling rates dependent on…

Systems and Control · Computer Science 2018-12-27 Felix Lehfuss , Georg Lauss , Christian Seitl , Fabian Leimgruber , Martin Noehrer , Thomas I. Strasser

We propose Wake-Sleep Consolidated Learning (WSCL), a learning strategy leveraging Complementary Learning System theory and the wake-sleep phases of the human brain to improve the performance of deep neural networks for visual…

Neural and Evolutionary Computing · Computer Science 2024-01-18 Amelia Sorrenti , Giovanni Bellitto , Federica Proietto Salanitri , Matteo Pennisi , Simone Palazzo , Concetto Spampinato

The Schwarz Waveform Relaxation algorithm (SWR) exchanges the waveform of boundary value between neighbouring sub-domains, which provides a more efficient way than the other Schwarz algorithms to realize distributed computation. However,…

Numerical Analysis · Mathematics 2022-05-27 Fei Wei , Anna Zhao

We apply the multigrid-reduction-in-time (MGRIT) algorithm to an eddy current simulation of a two-dimensional induction machine supplied by a pulse-width-modulation signal. To resolve the fast-switching excitations, small time steps are…

Numerical Analysis · Mathematics 2020-06-30 Matthias Bolten , Stephanie Friedhoff , Jens Hahne , Sebastian Schöps

Simulation of the monodomain equation, crucial for modeling the heart's electrical activity, faces scalability limits when traditional numerical methods only parallelize in space. To optimize the use of large multi-processor computers by…

Numerical Analysis · Mathematics 2024-05-31 Giacomo Rosilho de Souza , Simone Pezzuto , Rolf Krause

A technique for the enhancement of point targets in clutter is described. The local 3-D spectrum at each pixel is estimated recursively. An optical flow-field for the textured background is then generated using the 3-D autocorrelation…

Computer Vision and Pattern Recognition · Computer Science 2015-08-25 Hugh L. Kennedy

This paper proposes two quantum operation scheduling methods for accelerating parallel state-vector-based quantum circuit simulation using multiple graphics processing units (GPUs). The proposed methods reduce all-to-all communication…

Quantum Physics · Physics 2024-10-08 Yusuke Teranishi , Shoma Hiraoka , Wataru Mizukami , Masao Okita , Fumihiko Ino

Time-parallel time integration has received a lot of attention in the high performance computing community over the past two decades. Indeed, it has been shown that parallel-in-time techniques have the potential to remedy one of the main…

Numerical Analysis · Mathematics 2023-09-26 Martin J. Gander , Davide Palitta