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Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

This report highlights our work on improving GPU parallelization by supporting compute nodes with multiple GPUs. However, since the default support for multi-GPUs in OpenACC is limited[6], the current implementation allows each MPI process…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-24 Saheed Bolarinwa

The goal of this work is to parallelize the multistep scheme for the numerical approximation of the backward stochastic differential equations (BSDEs) in order to achieve both, a high accuracy and a reduction of the computation time as…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-18 Lorenc Kapllani , Long Teng

In this work, we present an extension of Gaussian process (GP) models with sophisticated parallelization and GPU acceleration. The parallelization scheme arises naturally from the modular computational structure w.r.t. datapoints in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Zhenwen Dai , Andreas Damianou , James Hensman , Neil Lawrence

Particle Swarm Optimization (PSO) is a stochastic technique for solving the optimization problem. Attempts have been made to shorten the computation times of PSO based algorithms with massive threads on GPUs (graphic processing units),…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 Chuan-Chi Wang , Chun-Yen Ho , Chia-Heng Tu , Shih-Hao Hung

The prediction of a dielectric breakdown in a high-voltage device is based on criteria that evaluate the electric field along field lines. Therefore it is necessary to efficiently compute the electric field at arbitrary points in space. A…

Numerical Analysis · Mathematics 2020-11-03 Cedric Münger , Steffen Börm , Jörg Ostrowski

We present a massively parallel Lagrange decomposition method for solving 0--1 integer linear programs occurring in structured prediction. We propose a new iterative update scheme for solving the Lagrangean dual and a perturbation technique…

Optimization and Control · Mathematics 2022-04-20 Ahmed Abbas , Paul Swoboda

This work proposes a novel approach to evaluate and analyze the behavior of multi-population parallel genetic algorithms (PGAs) when running on a cluster of multi-core processors. In particular, we deeply study their numerical and…

Neural and Evolutionary Computing · Computer Science 2025-08-05 Tomohiro Harada , Enrique Alba , Gabriel Luque

We consider the strongly NP-hard single-machine coupled task scheduling problem with exact delays to minimize the makespan. In this problem, a set of jobs has to be scheduled, each composed of two tasks interspersed by an exact delay. Given…

Optimization and Control · Mathematics 2025-12-30 Vítor A. Barbosa , Rafael A. Melo

Current AI code generation systems suffer from significant latency bottlenecks due to CPU-GPU data transfers during compilation, execution, and testing phases. We establish theoretical foundations for three complementary approaches to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-15 Adilet Metinov , Gulida M. Kudakeeva , Gulnara D. Kabaeva

In this paper, we address the problem of scheduling a set of robots to complete tasks in a laboratory environment, modelled as a graph, while avoiding collisions. We analyze the dynamic programming algorithm (PA) introduced in…

Robotics · Computer Science 2026-02-18 Duncan Adamson , Nathan Flaherty , Igor Potapov , Paul G. Spirakis , Elena Zamaraeva

We present an interface and an implementation of the General Matrix Multiply (GEMM) routine for multiple small matrices processed simultaneously on NVIDIA graphics processing units (GPUs). We focus on matrix sizes under 16. The…

Mathematical Software · Computer Science 2013-04-29 Chetan Jhurani , Paul Mullowney

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

Recent years have seen an increase in the development of large deep learning (DL) models, which makes training efficiency crucial. Common practice is struggling with the trade-off between usability and performance. On one hand, DL…

Machine Learning · Computer Science 2023-12-27 Hongzheng Chen , Cody Hao Yu , Shuai Zheng , Zhen Zhang , Zhiru Zhang , Yida Wang

Modern multi GPU HPC systems expose substantial computational capacity, yet inefficient GPU allocation often leads to wasted energy and underutilization. In practice, GPU applications exhibit heterogeneous and nonlinear scaling, making it…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Zhong Zheng , Michael E. Papka , Zhiling Lan

At high energy physics experiments, processing billions of records of structured numerical data from collider events to a few statistical summaries is a common task. The data processing is typically more complex than standard query…

Data Analysis, Statistics and Probability · Physics 2019-10-22 Joosep Pata , Maria Spiropulu

Modern GPUs are able to perform significantly more arithmetic operations than transfers of a single word to or from global memory. Hence, many GPU kernels are limited by memory bandwidth and cannot exploit the arithmetic power of GPUs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-13 J. Filipovič , M. Madzin , J. Fousek , L. Matyska

A parallel genetic algorithm (GA) implemented on GPU clusters is proposed to solve the Uncapacitated Single Allocation p-Hub Median problem. The GA uses binary and integer encoding and genetic operators adapted to this problem. Our GA is…

Discrete Mathematics · Computer Science 2018-08-24 Abdelhamid Benaini , Achraf Berrajaa , Jaouad Boukachour , Mustapha Oudani

As recurrent neural networks become larger and deeper, training times for single networks are rising into weeks or even months. As such there is a significant incentive to improve the performance and scalability of these networks. While…

Machine Learning · Computer Science 2016-04-08 Jeremy Appleyard , Tomas Kocisky , Phil Blunsom

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

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-26 Amit Gurung , Rajarshi Ray