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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

General Purpose Graphics Processing Unit (GPGPU) computing plays a transformative role in deep learning and machine learning by leveraging the computational advantages of parallel processing. Through the power of Compute Unified Device…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Ming Li , Ziqian Bi , Tianyang Wang , Yizhu Wen , Qian Niu , Xinyuan Song , Zekun Jiang , Junyu Liu , Benji Peng , Sen Zhang , Xuanhe Pan , Jiawei Xu , Jinlang Wang , Keyu Chen , Caitlyn Heqi Yin , Pohsun Feng , Ming Liu

In this work, we consider the solution of boundary integral equations by means of a scalable hierarchical matrix approach on clusters equipped with graphics hardware, i.e. graphics processing units (GPUs). To this end, we extend our…

Mathematical Software · Computer Science 2018-07-02 Helmut Harbrecht , Peter Zaspel

GPUs offer massive compute parallelism and high-bandwidth memory accesses. GPU database systems seek to exploit those capabilities to accelerate data analytics. Although modern GPUs have more resources (e.g., higher DRAM bandwidth) than…

Databases · Computer Science 2023-02-03 Jiashen Cao , Rathijit Sen , Matteo Interlandi , Joy Arulraj , Hyesoon Kim

We discuss the efficiency of parallelization on graphical processing units (GPUs) for the simulation of the one dimensional Potts model with long range interactions via parallel tempering. We investigate the behaviour of some thermodynamic…

Statistical Mechanics · Physics 2015-06-17 A. Boer

In this paper, we investigate GPU based parallel triangular solvers systematically. The parallel triangular solvers are fundamental to incomplete LU factorization family preconditioners and algebraic multigrid solvers. We develop a new…

Mathematical Software · Computer Science 2016-06-03 Zhangxin Chen , Hui Liu , Bo Yang

GPUs are vastly underutilized, even when running resource-intensive AI applications, as GPU kernels within each job have diverse resource profiles that may saturate some parts of a device while often leaving other parts idle. Colocating…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-17 Paul Elvinger , Foteini Strati , Natalie Enright Jerger , Ana Klimovic

The adoption of hybrid GPU-CPU nodes in traditional supercomputing platforms opens acceleration opportunities for electronic structure calculations in materials science and chemistry applications, where medium sized Hermitian generalized…

Numerical Analysis · Computer Science 2012-07-10 Raffaele Solcà , Thomas C. Schulthess , Azzam Haidar , Stanimire Tomov , Ichitaro Yamazaki , Jack Dongarra

Preconditioning is at the heart of iterative solutions of large, sparse linear systems of equations in scientific disciplines. Several algebraic approaches, which access no information beyond the matrix itself, are widely studied and used,…

Numerical Analysis · Mathematics 2025-01-28 Jie Chen

In this work, we consider the reformulation of hierarchical ($\mathcal{H}$) matrix algorithms for many-core processors with a model implementation on graphics processing units (GPUs). $\mathcal{H}$ matrices approximate specific dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Peter Zaspel

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

Hardware accelerators, such as those based on GPUs and FPGAs, offer an excellent opportunity to efficiently parallelize functionalities. Recently, modern embedded platforms started being equipped with such accelerators, resulting in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Daniel Casini , Paolo Pazzaglia , Alessandro Biondi , Marco Di Natale

Sequential computation is well understood but does not scale well with current technology. Within the next decade, systems will contain large numbers of processors with potentially thousands of processors per chip. Despite this, many…

Hardware Architecture · Computer Science 2015-11-17 James Hanlon

With the hardware support for half-precision arithmetic on NVIDIA V100 GPUs, high-performance computing applications can benefit from lower precision at appropriate spots to speed up the overall execution time. In this paper, we investigate…

Mathematical Software · Computer Science 2020-07-16 Kyaw L. Oo , Andreas Vogel

There has been significant recent interest in parallel graph processing due to the need to quickly analyze the large graphs available today. Many graph codes have been designed for distributed memory or external memory. However, today even…

Data Structures and Algorithms · Computer Science 2019-08-22 Laxman Dhulipala , Guy E. Blelloch , Julian Shun

We propose a GPU-based distributed optimization algorithm, aimed at controlling optimal power flow in multi-phase and unbalanced distribution systems. Typically, conventional distributed optimization algorithms employed in such scenarios…

Optimization and Control · Mathematics 2023-10-17 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

Because most optimisations to achieve higher computational performance eventually are limited, parallelism that scales is required. Parallelised hardware alone is not sufficient, but software that matches the architecture is required to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-11 Oskar Schirmer

This paper discusses the potential of graphics processing units (GPUs) in high-dimensional optimization problems. A single GPU card with hundreds of arithmetic cores can be inserted in a personal computer and dramatically accelerates many…

Computation · Statistics 2015-03-13 Hua Zhou , Kenneth Lange , Marc A. Suchard

Current computational systems are heterogeneous by nature, featuring a combination of CPUs and GPUs. As the latter are becoming an established platform for high-performance computing, the focus is shifting towards the seamless programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-23 Fábio Soldado , Fernando Alexandre , Hervé Paulino

Parallel data processing has become indispensable for processing applications involving huge data sets. This brings into focus the Graphics Processing Units (GPUs) which emphasize on many-core computing. With the advent of General Purpose…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-22 Poorna Banerjee , Amit Dave
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