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The conjugate gradient solver (CG) is a prevalent method for solving symmetric and positive definite linear systems Ax=b, where effective preconditioners are crucial for fast convergence. Traditional preconditioners rely on prescribed…

Machine Learning · Computer Science 2025-11-03 Zherui Yang , Zhehao Li , Kangbo Lyu , Yixuan Li , Tao Du , Ligang Liu

Modeling data sharing in GPU programs is a challenging task because of the massive parallelism and complex data sharing patterns provided by GPU architectures. Better GPU caching efficiency can be achieved through careful task scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-04 Lingda Li , Ari B. Hayes , Stephen A. Hackler , Eddy Z. Zhang , Mario Szegedy , Shuaiwen Leon Song

This paper proposes a combination of a hybrid CPU--GPU and a pure GPU software implementation of a direct algorithm for solving shifted linear systems $(A - \sigma I)X = B$ with large number of complex shifts $\sigma$ and multiple…

Mathematical Software · Computer Science 2017-08-24 Nela Bosner , Zvonimir Bujanović , Zlatko Drmač

We present a scalable dissipative particle dynamics simulation code, fully implemented on the Graphics Processing Units (GPUs) using a hybrid CUDA/MPI programming model, which achieves 10-30 times speedup on a single GPU over 16 CPU cores…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-01 Yu-Hang Tang , George Em Karniadakis

Acceleration of graph applications on GPUs has found large interest due to the ubiquitous use of graph processing in various domains. The inherent \textit{irregularity} in graph applications leads to several challenges for parallelization.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-02 Ananya Raval , Rupesh Nasre , Vivek Kumar , Vasudevan R , Sathish Vadhiyar , Keshav Pingali

Alternative current optimal power flow (ACOPF) problems have been studied for over fifty years, and yet the development of an optimal algorithm to solve them remains a hot and challenging topic for researchers because of their nonlinear and…

Optimization and Control · Mathematics 2024-06-18 Meng Zhao , Masoud Barati

The study deals with the parallelization of finite element based Navier-Stokes codes using domain decomposition and state-ofart sparse direct solvers. There has been significant improvement in the performance of sparse direct solvers.…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-05 Mandhapati P. Raju , Siddhartha Khaitan

Power flow refers to the injection of power on the lines of an electrical grid, so that all the injections at the nodes form a consistent flow within the network. Optimality, in this setting, is usually intended as the minimization of the…

Optimization and Control · Mathematics 2020-09-25 Daniel Bienstock , Mauro Escobar , Claudio Gentile , Leo Liberti

Reservoir computing systems rely on the recurrent multiplication of a very large, sparse, fixed matrix. We argue that direct spatial implementation of these fixed matrices minimizes the work performed in the computation, and allows for…

Hardware Architecture · Computer Science 2021-01-25 Matthew Denton , Herman Schmit

Graph accelerators have emerged as a promising solution for processing large-scale sparse graphs, leveraging the in-situ compu-tation of ReRAM-based crossbars to maximize computational efficiency. However, existing designs suffer from…

Hardware Architecture · Computer Science 2025-12-02 Masoud Rahimi , Sébastien Le Beux

Deep neural networks (DNNs) have been proven to be effective in solving many real-life problems, but its high computation cost prohibits those models from being deployed to edge devices. Pruning, as a method to introduce zeros to model…

Machine Learning · Computer Science 2021-12-22 Fei Sun , Minghai Qin , Tianyun Zhang , Xiaolong Ma , Haoran Li , Junwen Luo , Zihao Zhao , Yen-Kuang Chen , Yuan Xie

Conventional AC Power Flow (ACPF) solvers like Newton-Raphson (NR) face significant computational and convergence challenges in modern, large-scale power systems. This paper proposes a novel, two-stage hybrid method that integrates a…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Mohamed Shamseldein

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

As graph analytics often involves compute-intensive operations, GPUs have been extensively used to accelerate the processing. However, in many applications such as social networks, cyber security, and fraud detection, their representative…

Data Structures and Algorithms · Computer Science 2018-06-28 Mo Sha , Yuchen Li , Bingsheng He , Kian-Lee Tan

The parallel linear equations solver capable of effectively using 1000+ processors becomes the bottleneck of large-scale implicit engineering simulations. In this paper, we present a new hierarchical parallel master-slave-structural…

Computational Physics · Physics 2015-06-11 Ran Xu , Bin Liu , Yuan Dong

This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence guarantees and rapid convergence in practice. By integrating smoothing techniques…

Optimization and Control · Mathematics 2026-03-04 Xinliang Dai , Yuning Jiang , Yi Guo , Colin N. Jones , Moritz Diehl , Veit Hagenmeyer

This paper proposes a new distributed algorithm for solving linear systems associated with a sparse graph under a generalised diagonal dominance assumption. The algorithm runs iteratively on each node of the graph, with low complexities on…

Signal Processing · Electrical Eng. & Systems 2019-04-30 Qianqian Cai , Zhaorong Zhang , Minyue Fu

High parallel framework has been proved to be very suitable for graph processing. There are various work to optimize the implementation in FPGAs, a pipeline parallel device. The key to make use of the parallel performance of FPGAs is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-02 Chengbo Yang

We provide a preliminary study on utilizing GPU (Graphics Processing Unit) to accelerate computation for three simulation optimization tasks with either first-order or second-order algorithms. Compared to the implementation using only CPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-19 Jinghai He , Haoyu Liu , Yuhang Wu , Zeyu Zheng , Tingyu Zhu

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low
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