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检索条件"主题词=Parareal algorithm"
47 条 记 录,以下是11-20 订阅
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TOWARD PARALLEL COARSE GRID CORRECTION FOR THE parareal algorithm
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2018年 第3期40卷 A1446-A1472页
作者: Wu, Shu-Lin Sichuan Univ Sci & Engn Sch Sci Zigong 643000 Sichuan Peoples R China
In this paper, we present an idea toward parallel coarse grid correction (CGC) for the parareal algorithm. It is well known that such a CGC procedure is often the bottleneck of speedup of the parareal algorithm. For a... 详细信息
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A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving
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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2023年 130卷 137-148页
作者: Grigori, Laura Hirstoaga, Sever A. Salomon, Julien Sorbonne Univ Project Team ALPINES Inria F-75589 Paris 12 France Univ Paris CNRS Lab Jacques Louis LJLL L F-75589 Paris 12 France Sorbonne Univ Project Team ANGE Inria F-75589 Paris 12 France
In this paper, we introduce a new strategy for solving highly oscillatory two-dimensional Vlasov-Poisson systems by means of a specific version of the parareal algorithm. The novelty consists in using reduced models, ... 详细信息
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An efficient parareal algorithm for a class of time-dependent problems with fractional Laplacian
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APPLIED MATHEMATICS AND COMPUTATION 2017年 307卷 329-341页
作者: Wu, Shulin Sichuan Univ Sci & Engn Sch Sci Zigong Sichuan Provinc Peoples R China
Time-dependent diffusion equations with fractional Laplacian have received considerable attention in recent years, for which numerical methods play an important role because a simple and analytic solution is often una... 详细信息
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PARAOPT: A parareal algorithm FOR OPTIMALITY SYSTEMS
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2020年 第5期42卷 A2773-A2802页
作者: Gander, Martin J. Kwok, Felix Salomon, Julien Univ Geneva Sect Math CH-1211 Geneva 4 Switzerland Univ Laval Dept Math & Stat Quebec City PQ G1V 0A6 Canada Hong Kong Baptist Univ Dept Math Kowloon Tong Hong Kong Peoples R China INRIA Paris ANGE Project Team F-75589 Paris 12 France Sorbonne Univ Lab Jacques Louis Lions CNRS F-75005 Paris France
The time parallel solution of optimality systems arising in PDE constrained optimization could be achieved by simply applying any time parallel algorithm, such as parareal, to solve the forward and backward evolution ... 详细信息
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An analytic model for the convergence of turbulent simulations time-parallelized via the parareal algorithm
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JOURNAL OF COMPUTATIONAL PHYSICS 2013年 255卷 293-315页
作者: Reynolds-Barredo, J. M. Newman, D. E. Sanchez, R. Univ Alaska Fairbanks Dept Phys Fairbanks AK 99775 USA Univ Carlos III Madrid Dept Fis Leganes 28911 Spain
parareal is a recent time parallelization algorithm based on a predictor-corrector mechanism. Recently, it has been applied for the first time to a fully-developed plasma turbulent simulation, and a qualitative unders... 详细信息
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CONVERGENCE ANALYSIS OF THE parareal algorithm WITH NONUNIFORM FINE TIME GRID
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SIAM JOURNAL ON NUMERICAL ANALYSIS 2024年 第5期62卷 2308-2330页
作者: Wu, Shu-lin Zhou, Tao Northeast Normal Univ Sch Sch Math & Stat Changchun 130024 Peoples R China Chinese Acad Sci Acad Math & Syst Sci Inst Computat Math & Sci Engn Comp LSEC Beijing 100190 Peoples R China
In this paper, we study the convergence properties of the parareal algorithm with uniform coarse time grid and arbitrarily distributed (nonuniform) fine time grid, which may be changed at each iteration. We employ the... 详细信息
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A POSTERIORI ERROR ANALYSIS OF TWO-STAGE COMPUTATION METHODS WITH APPLICATION TO EFFICIENT DISCRETIZATION AND THE parareal algorithm
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SIAM JOURNAL ON NUMERICAL ANALYSIS 2016年 第5期54卷 2974-3002页
作者: Chaudhry, Jehanzeb Hameed Estep, Don Tavener, Simon Carey, Varis Sandelin, Jeff Univ New Mexico Dept Math & Stat Albuquerque NM 87131 USA Colorado State Univ Dept Stat Ft Collins CO 80523 USA Colorado State Univ Dept Math Ft Collins CO 80523 USA Univ Colorado Denver Dept Math & Stat Sci Denver CO 80204 USA DigitalGlobe Inc PD&L Longmont CO 80503 USA
We consider numerical methods for initial value problems that employ a two-stage approach consisting of solution on a relatively coarse discretization followed by solution on a relatively fine discretization. Examples... 详细信息
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Analysis of a New Krylov subspace enhanced parareal algorithm for time-periodic problems
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NUMERICAL algorithmS 2024年 第1期97卷 289-310页
作者: Song, Bo Wang, Jing-Yi Jiang, Yao-Lin Northwestern Polytech Univ Sch Math & Stat 1 Dongxiang Rd Xian 710129 Shaanxi Peoples R China Xi An Jiao Tong Univ Sch Math & Stat 28 West Xianning Rd Xian 710049 Shaanxi Peoples R China
The classical parareal algorithm for time-periodic problems, solving a periodic-like coarse problem, called the periodic parareal algorithm with periodic coarse problem (PP-PC), usually converges slowly. In this paper... 详细信息
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Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems
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NUMERICAL algorithmS 2014年 第3期67卷 599-622页
作者: Song, Bo Jiang, Yao-Lin Xi An Jiao Tong Univ Sch Math & Stat Xian 710049 Shaanxi Peoples R China
We present a new parallel algorithm for time-periodic problems by combining the waveform relaxation method and the parareal algorithm, which performs the parallelism both in sub-systems and in time. In the new algorit... 详细信息
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Coupling the parareal algorithm with the Waveform Relaxation method for the solution of Differential Algebraic Equations
Coupling the Parareal algorithm with the Waveform Relaxation...
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10th International Symposium on Distributed Computing and Applications to Business, Engineering and Science (DCABES)
作者: Cadeau, Thomas Magoules, Frederic Ecole Cent Paris Appl Math & Syst Lab Chatenay Malabry France
In this paper, a coupling strategy of the parareal algorithm with the Waveform Relaxation method is presented for the parallel solution of differential algebraic equations. The classical Waveform Relaxation (in space)... 详细信息
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