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Multigrid methods have been a popular approach for solving linear systems arising from the discretization of partial differential equations (PDEs) for several decades. They are particularly effective for accelerating convergence rates with…

数值分析 · 数学 2025-12-10 Teoman Toprak , Florian Kummer

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 discretized PDEs. As the name suggests, PFASST is similar in…

数值分析 · 数学 2015-11-17 Michael Minion , Robert Speck , Matthias Bolten , Matthew Emmett , Daniel Ruprecht

In his article "Powerlist: A Structure for Parallel Recursion" Jayadev Misra wrote: "Many data parallel algorithms - Fast Fourier Transform, Batcher's sorting schemes and prefix sum - exhibit recursive structure. We propose a data…

计算几何 · 计算机科学 2011-09-06 Roman Gitlin

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

计算物理 · 物理学 2017-01-05 Daniel Magee , Kyle E Niemeyer

Witnessing the advancing scale and complexity of chip design and benefiting from high-performance computation technologies, the simulation of Very Large Scale Integration (VLSI) Circuits imposes an increasing requirement for acceleration…

数据结构与算法 · 计算机科学 2023-04-27 Weijie Fang , Yanggeng Fu , Jiaquan Gao , Longkun Guo , Gregory Gutin , Xiaoyan Zhang

This paper proposes a new methodology to maximize the feasible set of power injections and cross-border power transfers in meshed multi-area power systems. The approach used polyhedral computation schemes and is an extension to the classic…

最优化与控制 · 数学 2015-11-03 Alexander Fuchs , Marc Scherer , Göran Andersson

Parabolic partial differential equations (PDEs) appear in many disciplines to model the evolution of various mathematical objects, such as probability flows, value functions in control theory, and derivative prices in finance. It is often…

机器学习 · 计算机科学 2024-07-18 Xingzi Xu , Ali Hasan , Jie Ding , Vahid Tarokh

The accelerating technological landscape and drive towards net-zero emission made the power system grow in scale and complexity. Serial computational approaches for grid planning and operation struggle to execute necessary calculations…

系统与控制 · 电气工程与系统科学 2022-07-07 Ahmed Al-Shafei , Hamidreza Zareipour , Yankai Cao

Decoupling approach presents a novel solution/alternative to the highly time-consuming fluid-thermal-structural simulation procedures when thermal effects and resultant displacements on machine tools are analyzed. Using high dimensional…

分布式、并行与集群计算 · 计算机科学 2019-10-31 Janine Glänzel , Andreas Naumann , Tharun Suresh Kumar

This paper presents the Parallel Coupler for Multimodel Simulations (PCMS), a new GPU accelerated generalized coupling framework for coupling simulation codes on leadership class supercomputers. PCMS includes distributed control and field…

分布式、并行与集群计算 · 计算机科学 2025-10-22 Jacob S. Merson , Cameron W. Smith , Mark S. Shephard , Fuad Hasan , Abhiyan Paudel , Angel Castillo-Crooke , Joyal Mathew , Mohammad Elahi

For time-dependent partial differential equations, parallel-in-time integration using the "parallel full approximation scheme in space and time" (PFASST) is a promising way to accelerate existing space-parallel approaches beyond their…

数值分析 · 数学 2018-06-07 Matthias Bolten , Dieter Moser , Robert Speck

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

斑图形成与孤子 · 物理学 2009-11-07 P. M. Lushnikov

Forming (hybrid) AC/DC microgrids (MGs) has become a promising manner for the interconnection of various kinds of distributed generators that are inherently AC or DC electric sources. This paper addresses the distributed asynchronous power…

系统与控制 · 计算机科学 2019-05-02 Zhaojian Wang , Shengwei Mei , Feng Liu , Peng Yi , Ming Cao

We introduce a new strategy for coupling the parallel in time (parareal) iterative methodology with multiscale integrators. Following the parareal framework, the algorithm computes a low-cost approximation of all slow variables in the…

数值分析 · 数学 2015-11-19 Gil Ariel , Seong Jun Kim , Richard Tsai

In this article, we introduce parallel-in-time methods for state and parameter estimation in general nonlinear non-Gaussian state-space models using the statistical linear regression and the iterated statistical posterior linearization…

统计计算 · 统计学 2023-04-06 Fatemeh Yaghoobi , Adrien Corenflos , Sakira Hassan , Simo Särkkä

We consider waveform iterations for dynamical coupled problems, or more specifically, PDEs that interact through a lower dimensional interface. We want to allow for the reuse of existing codes for the subproblems, called a partitioned…

数值分析 · 数学 2025-02-06 Niklas Kotarsky , Philipp Birken

This work is concerned with linear matrix equations that arise from the space-time discretization of time-dependent linear partial differential equations (PDEs). Such matrix equations have been considered, for example, in the context of…

数值分析 · 数学 2023-06-16 Daniel Kressner , Stefano Massei , Junli Zhu

In this paper an algorithm for transient simulation of switching converters using prediction and correction to calculate duty ratio is proposed. It provides large signal simulation on the level of averaged currents and voltages in the…

系统与控制 · 电气工程与系统科学 2026-04-22 Aleksandra Lekić , Vujo Drndarević

The numerical solution of large-scale PDEs, such as those occurring in data-driven applications, unavoidably require powerful parallel computers and tailored parallel algorithms to make the best possible use of them. In fact, considerations…

数值分析 · 数学 2017-05-11 Francisco Bernal , Gonçalo dos Reis , Greig Smith

A real-time safe multi-threading library was developed on the DIII-D plasma control system to optimize the realtime TORBEAM and real-time STRIDE physics codes. These physics codes are crucial for future fusion power plant operation as they…

等离子体物理 · 物理学 2025-11-18 A. Rothstein , K. Erickson , R. Conlin , A. Bortolon , E. Kolemen