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Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhaojun Ruan , Libao Shi

For reasons of both performance and energy efficiency, high-performance computing (HPC) hardware is becoming increasingly heterogeneous. The OpenCL framework supports portable programming across a wide range of computing devices and is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-01 Beau Johnston , Josh Milthorpe

We present a cross-architecture high-order heterogeneous Navier-Stokes simulation solver, XFluids, for compressible reacting multicomponent flows on different platforms. The multi-component reacting flows are ubiquitous in many scientific…

Computational Physics · Physics 2024-07-11 Jinlong Li , Shucheng Pan

The ongoing convergence of HPC and cloud computing presents a fundamental challenge: HPC applications, designed for static and homogeneous supercomputers, are ill-suited for the dynamic, heterogeneous, and volatile nature of the cloud.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Aditya Bhosale , Advait Tahilyani , Laxmikant Kale , Sara Kokkila-Schumacher

Parallel processing is considered as todays and future trend for improving performance of computers. Computing devices ranging from small embedded systems to big clusters of computers rely on parallelizing applications to reduce execution…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-27 Oussama Tahan

In this paper we discuss a new and very efficient implementation of high order accurate ADER discontinuous Galerkin (ADER-DG) finite element schemes on modern massively parallel supercomputers. The numerical methods apply to a very broad…

Numerical Analysis · Mathematics 2018-08-20 Michael Dumbser , Francesco Fambri , Maurizio Tavelli , Michael Bader , Tobias Weinzierl

This paper is focused on improving multi-GPU performance of a research CFD code on structured grids. MPI and OpenACC directives are used to scale the code up to 16 GPUs. This paper shows that using 16 P100 GPUs and 16 V100 GPUs can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-10 Weicheng Xue , Charles W. Jackson , Christoper J. Roy

We design and implement a parallel algebraic multigrid method for isotropic graph Laplacian problems on multicore Graphical Processing Units (GPUs). The proposed AMG method is based on the aggregation framework. The setup phase of the…

Numerical Analysis · Mathematics 2013-02-12 James Brannick , Yao Chen , Xiaozhe Hu , Ludmil Zikatanov

Advancements in AI have greatly enhanced the medical imaging process, making it quicker to diagnose patients. However, very few have investigated the optimization of a multi-model system with hardware acceleration. As specialized edge…

Hardware Architecture · Computer Science 2025-10-03 Ashiyana Abdul Majeed , Mahmoud Meribout , Safa Mohammed Sali

Large symmetric eigenvalue problems are commonly observed in many disciplines such as Chemistry and Physics, and several libraries including cuSOLVERMp, MAGMA and ELPA support computing large eigenvalue decomposition on multi-GPU or…

Mathematical Software · Computer Science 2025-11-21 Hansheng Wang , Ruiyi Zhan , Dajun Huang , Xingchen Liu , Qiao Li , Hancong Duan , Dingwen Tao , Guangming Tan , Shaoshuai Zhang

The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial differential equations such as finite element, finite…

Numerical Analysis · Mathematics 2021-08-31 Abal-Kassim Cheik Ahamed , Frédéric Magoulès

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

A new framework is introduced for constructing interpretable and truly reliable reduced models for multiscale problems in situations without scale separation. Hydrodynamic approximation to the kinetic equation is used as an example to…

Computational Physics · Physics 2019-10-31 Jiequn Han , Chao Ma , Zheng Ma , Weinan E

This paper presents the implementation of a HLLC finite volume solver using GPU technology for the solution of shallow water problems in two dimensions. It compares both CPU and GPU approaches for implementing all the solver's steps. The…

Computational Engineering, Finance, and Science · Computer Science 2018-07-03 Fabrice Zaoui

The numerical solution of the Kadanoff-Baym nonlinear integro-differential equations, which yields the non-equilibrium Green's functions (NEGFs) of quantum many-body systems, poses significant computational challenges due to its high…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 Jia Yin , Khaled Z. Ibrahim , Mauro Del Ben , Jack Deslippe , Yang-hao Chan , Chao Yang

Improving both accuracy and computational performance of numerical tools is a major challenge for seismic imaging and generally requires specialized implementations to make full use of modern parallel architectures. We present a…

Computational Physics · Physics 2015-10-28 Axel Modave , Amik St-Cyr , Wim A. Mulder , Tim Warburton

Static resource allocations in high-performance computing (HPC) lead to inefficiencies for time-varying workloads, causing idle resources, queue delays, and higher node-hour costs. The Dynamic Management of Resources (DMR) middleware…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Petter Sandås , Sergio Iserte , Íñigo Aréjula-Aísa , Berk Hess , Antonio J. Peña

It is a challenging task to train large DNN models on sophisticated GPU platforms with diversified interconnect capabilities. Recently, pipelined training has been proposed as an effective approach for improving device utilization. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-03 Shiqing Fan , Yi Rong , Chen Meng , Zongyan Cao , Siyu Wang , Zhen Zheng , Chuan Wu , Guoping Long , Jun Yang , Lixue Xia , Lansong Diao , Xiaoyong Liu , Wei Lin

This paper demonstrates the scalability of open-source GPU-accelerated nonlinear programming (NLP) frameworks -- ExaModels.jl and MadNLP.jl -- for solving multi-period alternating current (AC) optimal power flow (OPF) problems on GPUs with…

Optimization and Control · Mathematics 2024-05-24 Sungho Shin , Vishwas Rao , Michel Schanen , D. Adrian Maldonado , Mihai Anitescu

We present a new code for astrophysical magneto-hydrodynamics specifically designed and optimized for high performance and scaling on modern and future supercomputers. We describe a novel hybrid OpenMP/MPI programming model that emerged…

Instrumentation and Methods for Astrophysics · Physics 2017-03-08 Peter Mendygral , Nick Radcliffe , Krishna Kandalla , David Porter , Brian J. O'Neill , Chris Nolting , Paul Edmon , Julius M. F. Donnert , Thomas W. Jones
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