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This work presents a GPU-accelerated solver for the unit commitment (UC) problem in large-scale power grids. The solver uses the Primal-Dual Hybrid Gradient (PDHG) algorithm to efficiently solve the relaxed linear subproblem, achieving…

Optimization and Control · Mathematics 2025-12-09 Hussein Sharadga , Javad Mohammadi

This paper consists of three parts. The first part provides a unified programming model for heterogeneous computing with CPU and accelerator (like GPU, FPGA, Google TPU, Atos QPU, and more) technologies. To some extent, this new programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-31 Yuqing Xiong

Optimally hybrid numerical solvers were constructed for massively parallel generalized eigenvalue problem (GEP).The strong scaling benchmark was carried out on the K computer and other supercomputers for electronic structure calculation…

Computational Physics · Physics 2016-02-10 Hiroto Imachi , Takeo Hoshi

Solving large dense linear systems and eigenvalue problems is a core requirement in many areas of scientific computing, but scaling these operations beyond a single GPU remains challenging within modern programming frameworks. While highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-22 Roeland Wiersema

GPUs have climbed up to the top of supercomputer systems making life harder to many legacy scientific codes. Nowadays, many recipes are being used in such code's portability, without any clarity of which is the best option. We present a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-03 Guillermo Oyarzun , Daniel Mira , Guillaume Houzeaux

To address the challenge of performance portability, and facilitate the implementation of electronic structure solvers, we developed the Basic Matrix Library (BML) and Parallel, Rapid O(N) and Graph-based Recursive Electronic Structure…

In simulation of nuclear reactor physics using the Monte Carlo neutron transport method on GPUs, the sorting of particles plays a significant role in performance of calculation. Traditionally, CPUs and GPUs are separated devices connected…

Hardware Architecture · Computer Science 2024-03-19 Changyuan Liu

Distributed computing has been widely applied in distributed edge networks for reducing the processing burden of high-dimensional data centralization, where a high-dimensional computational task is decomposed into multiple low-dimensional…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-22 Mengchun Xia , Zhicheng Dong , Donghong Cai , Fang Fang , Lisheng Fan , Pingzhi Fan

Many emerging cyber-physical systems, such as autonomous vehicles and robots, rely heavily on artificial intelligence and machine learning algorithms to perform important system operations. Since these highly parallel applications are…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-07 An Zou , Jing Li , Christopher D. Gill , Xuan Zhang

In recent years, utilization of heterogeneous hardware other than small core CPU such as GPU, FPGA or many core CPU is increasing. However, when using heterogeneous hardware, barriers of technical skills such as OpenMP, CUDA and OpenCL are…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-13 Yoji Yamato

We present a massively parallel solver that accelerates DC loadflow computations for power grid topology optimization tasks. Our approach leverages low-rank updates of the Power Transfer Distribution Factors (PTDFs) to represent substation…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Nico Westerbeck , Joost van Dijk , Jan Viebahn , Christian Merz , Dirk Witthaut

We investigate the potential of Graphics Processing Units (GPUs) to solve large-scale nonlinear programs with a dynamic structure. Using ExaModels, a GPU-accelerated automatic differentiation tool, and the interior-point solver MadNLP, we…

Optimization and Control · Mathematics 2024-09-13 François Pacaud , Sungho Shin

We show that using the multi-splitting algorithm as a preconditioner for the domain wall Dirac linear operator, arising in lattice QCD, effectively reduces the inter-node communication cost, at the expense of performing more on-node…

High Energy Physics - Lattice · Physics 2021-09-09 Jiqun Tu , M. A. Clark , Chulwoo Jung , Robert Mawhinney

Over the past few years, there has been an increased interest in including FPGAs in data centers and high-performance computing clusters along with GPUs and other accelerators. As a result, it has become increasingly important to have a…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-14 Mostafa Eghbali Zarch , Reece Neff , Michela Becchi

This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An…

Computational Engineering, Finance, and Science · Computer Science 2016-09-21 J. -F. Remacle , R. Gandham , T. Warburton

We develop a GPU-accelerated dynamic programming (DP) method for valuing, operating, and bidding energy storage under multistage stochastic electricity prices. Motivated by computational limitations in existing models, we formulate DP…

Optimization and Control · Mathematics 2025-11-20 Thomas Lee , Andy Sun

CPU-GPU heterogeneous architectures are now commonly used in a wide variety of computing systems from mobile devices to supercomputers. Maximizing the throughput for multi-programmed workloads on such systems is indispensable as one single…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-08 Issa Saba , Eishi Arima , Dai Liu , Martin Schulz

Medical image processing is often limited by the computational cost of the involved algorithms. Whereas dedicated computing devices (GPUs in particular) exist and do provide significant efficiency boosts, they have an extra cost of use in…

Recent years have witnessed a rapid advancement in GPU technology, establishing it as a formidable high-performance parallel computing technology with superior floating-point computational capabilities compared to traditional CPUs. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-18 Xinyao Yi , Yuxin Qiao

This paper presents a comprehensive comparison of three dominant parallel programming models in High Performance Computing (HPC): Message Passing Interface (MPI), Open Multi-Processing (OpenMP), and Compute Unified Device Architecture…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-19 Nizar ALHafez , Ahmad Kurdi
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