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The simplex algorithm has been successfully used for many years in solving linear programming (LP) problems. Due to the intensive computations required (especially for the solution of large LP problems), parallel approaches have also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-22 Basilis Mamalis , Marios Perlitis

High-throughput structure-based screening of drug-like molecules has become a common tool in biomedical research. Recently, acceleration with graphics processing units (GPUs) has provided a large performance boost for molecular docking…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-07 Mathialakan Thavappiragasam , Wael Elwasif , Ada Sedova

We introduce a GPU-accelerated Monte Carlo framework for nonconvex, free-final-time trajectory optimization problems. This framework makes use of the prox-linear method, which belongs to the larger family of sequential convex programming…

Optimization and Control · Mathematics 2024-04-30 Govind M. Chari , Abhinav G. Kamath , Purnanand Elango , Behçet Açıkmeşe

Dynamic programming (DP) is a cornerstone of combinatorial optimization, yet its inherently sequential structure has long limited its scalability in scenario-based stochastic programming (SP). This paper introduces a GPU-accelerated…

Optimization and Control · Mathematics 2025-11-25 Jingyi Zhao , Linxin Yang , Haohua Zhang , Tian Ding

We introduce cuPDLPx, a further enhanced GPU-based first-order solver for linear programming. Building on the recently developed restarted Halpern PDHG for LP, cuPDLPx incorporates a number of new techniques, including a new restart…

Optimization and Control · Mathematics 2025-09-24 Haihao Lu , Zedong Peng , Jinwen Yang

We introduce a fusion of GPU accelerated primal heuristics for Mixed Integer Programming. Leveraging GPU acceleration enables exploration of larger search regions and faster iterations. A GPU-accelerated PDLP serves as an approximate LP…

Optimization and Control · Mathematics 2025-10-31 Akif Çördük , Piotr Sielski , Alice Boucher , Kumar Aatish

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 present Horizon, a new graphics processing unit (GPU)-accelerated code to solve the equations of general relativistic magnetohydrodynamics in a given spacetime. We evaluate the code in several test cases, including magnetized Riemann…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Burkhard Zink

An existing hybrid MPI-OpenMP scheme is augmented with a CUDA-based fine grain parallelization approach for multidimensional distributed Fourier transforms, in a well-characterized pseudospectral fluid turbulence code. Basics of the hybrid…

Computational Physics · Physics 2018-08-07 Duane Rosenberg , Pablo D. Mininni , Raghu Reddy , Annick Pouquet

We introduce a new GPU-accelerated general-relativistic magneto-hydrodynamic (GR-MHD) code based on HARM which we call cuHARM. The code is written in CUDA-C and uses OpenMP to parallelize multi-GPU setups. Our code allows us to run high…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Damien Bégué , Asaf Pe'er , Guoqiang Zhang , BinBin Zhang , Benjamin Pevzner

This paper investigates the multi-GPU performance of a 3D buoyancy driven cavity solver using MPI and OpenACC directives on different platforms. The paper shows that decomposing the total problem in different dimensions affects the strong…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-10 Weicheng Xue , Christopher J. Roy

Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both approaches within high-speed flow solvers. The core…

Numerical Analysis · Mathematics 2025-09-09 Hongyu Liu , Xing Ji , Yuan Fu , Kun Xu

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

As core counts and heterogeneity rise in HPC, traditional hybrid programming models face challenges in managing distributed GPU memory and ensuring portability. This paper presents DiOMP, a distributed OpenMP framework that unifies OpenMP…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Baodi Shan , Mauricio Araya-Polo , Barbara Chapman

Subgraph matching is a core operation in graph analytics, supporting a broad spectrum of applications from social network analysis to bioinformatics. Recent GPU-based approaches accelerate subgraph matching by leveraging parallelism but…

Databases · Computer Science 2026-04-14 Weitian Chen , Shixuan Sun , Cheng Chen , Yongmin Hu , Yingqian Hu , Minyi Guo

Adaptive finite elements combined with geometric multigrid solvers are one of the most efficient numerical methods for problems such as the instationary Navier-Stokes equations. Yet despite their efficiency, computations remain expensive…

Numerical Analysis · Mathematics 2025-12-23 Manuel Liebchen , Robert Jendersie , Utku Kaya , Christian Lessig , Thomas Richter

Modern high-performance computing (HPC) increasingly relies on GPUs, but integrating GPU acceleration into complex scientific frameworks like OpenFOAM remains a challenge. Existing approaches either fully refactor the codebase or use…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Gregor Olenik , Marcel Koch , Hartwig Anzt

To effectively control large-scale distributed systems online, model predictive control (MPC) has to swiftly solve the underlying high-dimensional optimization. There are multiple techniques applied to accelerate the solving process in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-30 Carmen Amo Alonso , Shih-Hao Tseng

We present a novel method of magnetohydrodynamics (MHD) within the smoothed particle hydrodynamics scheme using the Geometric Density average force expression (GDSPH). GDSPH has recently been shown to reduce the leading order errors and…

Instrumentation and Methods for Astrophysics · Physics 2020-07-31 Robert Wissing , Sijing Shen

We present the FARGO3D code, recently publicly released. It is a magnetohydrodynamics code developed with special emphasis on protoplanetary disks physics and planet-disk interactions, and parallelized with MPI. The hydrodynamics algorithms…

Instrumentation and Methods for Astrophysics · Physics 2016-04-06 Pablo Benítez-Llambay , Frédéric Masset