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The acceleration of sparse matrix computations on modern many-core processors, such as the graphics processing units (GPUs), has been recognized and studied over a decade. Significant performance enhancements have been achieved for many…

Mathematical Software · Computer Science 2017-10-16 Ruipeng Li

Leveraging Graphics Processing Units (GPUs) to accelerate scientific software has proven to be highly successful, but in order to extract more performance, GPU programmers must overcome the high latency costs associated with their use. One…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-03 Jacob Faibussowitsch , Mark F. Adams , Richard Tran Mills , Stefano Zampini , Junchao Zhang

Energy system optimization models are increasing in scope and resolution, yielding large and challenging linear programs. For a long time, the standard way to address such problems has relied on shared-memory interior-point methods (IPM),…

Optimization and Control · Mathematics 2026-05-07 Janina Zittel , Annika Buchholz , Michael Bussieck , Frederik Fiand , Thorsten Koch , Lukas Mehl , Niels Lindner , Manuel Wetzel

Load-balancing among the threads of a GPU for graph analytics workloads is difficult because of the irregular nature of graph applications and the high variability in vertex degrees, particularly in power-law graphs. We describe a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-28 Vishwesh Jatala , Loc Hoang , Roshan Dathathri , Gurbinder Gill , V Krishna Nandivada , Keshav Pingali

The number of cores on graphical computing units (GPUs) is reaching thousands nowadays, whereas the clock speed of processors stagnates. Unfortunately, constraint programming solvers do not take advantage yet of GPU parallelism. One reason…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-26 Pierre Talbot , Frédéric Pinel , Pascal Bouvry

Linear Programs (LPs) appear in a large number of applications and offloading them to the GPU is viable to gain performance. Existing work on offloading and solving an LP on GPU suggests that performance is gained from large sized LPs…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-27 Amit Gurung , Rajarshi Ray

In this chapter, we describe the Parallel Sparse Computation Toolkit (PSCToolkit), a suite of libraries for solving large-scale linear algebra problems in an HPC environment. In particular, we focus on the tools provided for the solution of…

Numerical Analysis · Mathematics 2025-01-09 Pasqua D'Ambra , Fabio Durastante , Salvatore Filippone

The entropy-stable discontinuous Galerkin method for compressible Euler equations with buoyancy is implemented on graphics processing unit (GPU) hardware. We measure the performance of the solver on three-dimensional problems: the rising…

Numerical Analysis · Mathematics 2026-05-19 Henry Waterhouse , Maciej Waruszewski , Lucas C. Wilcox , Francis X. Giraldo

This paper investigates parallelization strategies for solving power flow problems in both transmission and unbalanced, three-phase distribution systems by developing a scalable power flow solver, ExaGridPF, which is compatible with…

Computational Engineering, Finance, and Science · Computer Science 2017-11-30 Bin Wang , John Bachan , Cy Chan

Given its high integration density, high speed, byte addressability, and low standby power, non-volatile or persistent memory is expected to supplement/replace DRAM as main memory. Through persistency programming models (which define…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Zhen Lin , Mohammad Alshboul , Yan Solihin , Huiyang Zhou

Programming high-performance sparse GPU kernels is notoriously difficult, requiring both substantial effort and deep expertise. Sparse compilers aim to simplify this process, but existing systems fall short in two key ways. First, they are…

Programming Languages · Computer Science 2025-10-21 Jaeyeon Won , Willow Ahrens , Joel S. Emer , Saman Amarasinghe

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

Although the performance of commodity computers has improved drastically with the introduction of multicore processors and GPU computing, the standard R distribution is still based on single-threaded model of computation, using only a small…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-21 Bogdan Oancea , Richard Pospisil

Graphics processing units (GPU) had evolved from a specialized hardware capable to render high quality graphics in games to a commodity hardware for effective processing blocks of data in a parallel schema. This evolution is particularly…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-26 Luis Cabellos

This paper proposes a novel approach using Graph Neural Networks (GNNs) to solve the AC Power Flow problem in power grids. AC OPF is essential for minimizing generation costs while meeting the operational constraints of the grid.…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Seyedamirhossein Talebi , Kaixiong Zhou

We present a linear cutting-plane relaxation approach that rapidly proves tight lower bounds for the Alternating Current Optimal Power Flow Problem (ACOPF). Our method leverages outer-envelope linear cuts for well-known second-order cone…

Optimization and Control · Mathematics 2024-03-15 Daniel Bienstock , Matias Villagra

The progress made in accelerating simulations of fluid flow using GPUs, and the challenges that remain, are surveyed. The review first provides an introduction to GPU computing and programming, and discusses various considerations for…

Fluid Dynamics · Physics 2014-02-04 Kyle E Niemeyer , Chih-Jen Sung

Evolutionary computing (EC) has proven to be effective in solving complex optimization and robotics problems. Unfortunately, typical Evolutionary Algorithms (EAs) are constrained by the computational capacity available to researchers. More…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-19 Rustam Eynaliyev , Houcen Liu

This paper presents a new method for enhancing Alternating Current Power Flow (ACPF) analysis. The method integrates the Newton-Raphson (NR) method with Enhanced-Gradient Descent (GD) and computational graphs. The integration of renewable…

Optimization and Control · Mathematics 2024-06-18 Masoud Barati

Maintaining computational load balance is important to the performant behavior of codes which operate under a distributed computing model. This is especially true for GPU architectures, which can suffer from memory oversubscription if…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-05 Michael E. Rowan , Axel Huebl , Kevin N. Gott , Jack Deslippe , Maxence Thévenet , Remi Lehe , Jean-Luc Vay
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