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检索条件"主题词=Parallel-in-time integration"
18 条 记 录,以下是1-10 订阅
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Explicit parallel-in-time integration of a linear acoustic-advection system
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COMPUTERS & FLUIDS 2012年 59卷 72-83页
作者: Ruprecht, D. Krause, R. Univ Svizzera Italiana Inst Computat Sci CH-6906 Lugano Switzerland
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 test case for integration schemes for ... 详细信息
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Toward fault-tolerant parallel-in-time integration with PFASST
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parallel COMPUTING 2017年 62卷 20-37页
作者: Speck, Robert Ruprecht, Daniel Forschungszentrum Julich Julich Supercomp Ctr D-52425 Julich Germany Univ Leeds Sch Mech Engn Woodhouse Lane Leeds LS2 9JT W Yorkshire England
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 at multiple time steps on different ... 详细信息
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parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere
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JOURNAL OF COMPUTATIONAL PHYSICS 2020年 第0期407卷 109210-000页
作者: Hamon, Francois P. Schreiber, Martin Minion, Michael L. Lawrence Berkeley Natl Lab Ctr Computat Sci & Engn Berkeley CA 94720 USA Tech Univ Munich Chair Comp Architecture & Parallel Syst Munich Germany Lawrence Berkeley Natl Lab Dept Appl Math Berkeley CA USA TOTAL Explorat & Prod Houston TX 77002 USA
The modeling of atmospheric processes in the context of weather and climate simulations is an important and computationally expensive challenge. The temporal integration of the underlying PDEs requires a very large nu... 详细信息
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A parallel-IN-time COLLOCATION METHOD USING DIAGONALIZATION: THEORY AND IMPLEMENTATION FOR LINEAR PROBLEMS
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COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE 2023年 第1期18卷 55-85页
作者: Caklovic, Gayatri Speck, Robert Frank, Martin Julich Supercomp Ctr Julich Germany Karlsruhe Inst Technol Dept Math Karlsruhe Germany
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-para... 详细信息
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Influence of the phase accuracy of the coarse solver calculation on the convergence of the parareal method iteration for hyperbolic PDEs
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COMPUTING AND VISUALIZATION IN SCIENCE 2018年 第3-4期19卷 97-108页
作者: Iizuka, Mikio Ono, Kenji Kyushu Univ Res Inst Informat Technol Nishi Ku 744 Motooka Fukuoka 8190395 Japan
Gander and Petcu (ESAIM Proc 25:114-129, 2008) reported that, theoretically, the convergence of the parareal method iteration for hyperbolic PDEs is strongly influenced by the phase (frequency) accuracy of the coarse ... 详细信息
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PFASST-ER: combining the parallel full approximation scheme in space and time with parallelization across the method
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COMPUTING AND VISUALIZATION IN SCIENCE 2020年 第1-4期23卷 12-12页
作者: Schoebel, Ruth Speck, Robert Tech Univ Dresden Inst Numer Math Dresden Germany Forschungszentrum Julich Julich Supercomp Ctr Julich Germany
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 be a promising parallel-in-time integ... 详细信息
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Multigrid methods with space-time concurrency
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COMPUTING AND VISUALIZATION IN SCIENCE 2017年 第4-5期18卷 123-143页
作者: Falgout, R. D. Friedhoff, S. Kolev, Tz. V. MacLachlan, S. P. Schroder, J. B. Vandewalle, S. Lawrence Livermore Natl Lab Ctr Appl Sci Comp POB 808L-561 Livermore CA 94551 USA Katholieke Univ Leuven Dept Comp Sci Celestijnenlaan 200aBox 2402 B-3001 Leuven Belgium Berg Univ Wuppertal Fak Math & Nat Wissensch D-42097 Wuppertal Germany Mem Univ Newfoundland Dept Math & Stat St John NF Canada
We consider the comparison of multigrid methods for parabolic partial differential equations that allow space-time concurrency. With current trends in computer architectures leading towards systems with more, but not ... 详细信息
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Toward error estimates for general space-time discretizations of the advection equation
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COMPUTING AND VISUALIZATION IN SCIENCE 2020年 第1-4期23卷 16-16页
作者: Gander, Martin J. Lunet, Thibaut Univ Geneva Sect Math 2-4 Rue LievreCase Postale 64 CH-1211 Geneva 4 Switzerland
We develop new error estimates for the one-dimensional advection equation, considering general space-time discretization schemes based on Runge-Kutta methods and finite difference discretizations. We then derive condi... 详细信息
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parallelizing spectral deferred corrections across the method
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COMPUTING AND VISUALIZATION IN SCIENCE 2018年 第3-4期19卷 75-83页
作者: Speck, Robert Forschungszentrum Julich Julich Supercomp Ctr Julich Germany
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 iterative fashion, SDC can ... 详细信息
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Parareal with a Physics-Informed Neural Network as Coarse Propagator  29th
Parareal with a Physics-Informed Neural Network as Coarse Pr...
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29th International Conference on parallel and Distributed Computing (Euro-Par)
作者: Ibrahim, Abdul Qadir Goetschel, Sebastian Ruprecht, Daniel Hamburg Univ Technol Inst Math Chair Computat Math Hamburg Germany
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, which parallelize across multiple t... 详细信息
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