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GPUSPH was the first implementation of the weakly-compressible Smoothed Particle Hydrodynamics method to run entirely on GPU using CUDA. Version 5, released in June 2018, features a radical restructuring of the code, offering a more…

Computational Physics · Physics 2023-05-18 Giuseppe Bilotta , Vito Zago , Alexis Hérault , Hendrik D. van Ettinger , Robert A. Dalrymple

This paper explores practical aspects of using a high-level functional language for GPU-based arithmetic on ``midsize'' integers. By this we mean integers of up to about a quarter million bits, which is sufficient for most practical…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-24 Cosmin E. Oancea , Stephen M. Watt

Every year, novel NVIDIA GPU designs are introduced. This rapid architectural and technological progression, coupled with a reluctance by manufacturers to disclose low-level details, makes it difficult for even the most proficient GPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-19 Zhe Jia , Marco Maggioni , Benjamin Staiger , Daniele P. Scarpazza

Hardware accelerators (such as Nvidia's CUDA GPUs) have tremendous promise for computational science, because they can deliver large gains in performance at relatively low cost. In this work, we focus on the use of Nvidia's Tesla GPU for…

Computational Physics · Physics 2010-06-04 Rakesh Ginjupalli , Gaurav Khanna

Answer Set Programming (ASP) has become, the paradigm of choice in the field of logic programming and non-monotonic reasoning. Thanks to the availability of efficient solvers, ASP has been successfully employed in a large number of…

Artificial Intelligence · Computer Science 2019-09-05 Agostino Dovier , Andrea Formisano , Flavio Vella

Nowadays, several industrial applications are being ported to parallel architectures. In fact, these platforms allow acquire more performance for system modelling and simulation. In the electric machines area, there are many problems which…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-25 Antonio Wendell De Oliveira Rodrigues , Frédéric Guyomarch , Yvonnick Le Menach , Jean-Luc Dekeyser

The convex hull is a fundamental geometrical structure for many applications where groups of points must be enclosed or represented by a convex polygon. Although efficient sequential convex hull algorithms exist, and are constantly being…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Alan Keith , Héctor Ferrada , Cristóbal A. Navarro

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

In this paper, based on the combination of finite element mesh and neural network, a novel type of neural network element space and corresponding machine learning method are designed for solving partial differential equations. The…

Numerical Analysis · Mathematics 2025-04-24 Yifan Wang , Zhongshuo Lin , Hehu Xie

Latent Dirichlet Allocation(LDA) is a popular topic model. Given the fact that the input corpus of LDA algorithms consists of millions to billions of tokens, the LDA training process is very time-consuming, which may prevent the usage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-14 Xiaolong Xie , Yun Liang , Xiuhong Li , Wei Tan

Solving very large linear systems of equations is a key computational task in science and technology. In many cases, the coefficient matrix of the linear system is rank-deficient, leading to systems that may be underdetermined,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Mónica Chillarón , Gregorio Quintana-Ortí , Vicente Vidal , Per-Gunnar Martinsson

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

We equip dynamic geometry software (DGS) with a user-friendly method that enables massively parallel calculations on the graphics processing unit (GPU). This interplay of DGS and GPU opens up various applications in education and…

Mathematical Software · Computer Science 2018-08-15 Aaron Montag , Jürgen Richter-Gebert

Currently, deep neural networks (DNNs)-based models have drawn enormous attention and have been utilized to different domains widely. However, due to the data-driven nature, the DNN models may generate unsatisfying performance on the small…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Kai Liu , Lei Gao , Ling Guan

Modeling data sharing in GPU programs is a challenging task because of the massive parallelism and complex data sharing patterns provided by GPU architectures. Better GPU caching efficiency can be achieved through careful task scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-04 Lingda Li , Ari B. Hayes , Stephen A. Hackler , Eddy Z. Zhang , Mario Szegedy , Shuaiwen Leon Song

The Convex Hull algorithm is one of the most important algorithms in computational geometry, with many applications such as in computer graphics, robotics, and data mining. Despite the advances in the new algorithms in this area, it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Roberto Carrasco , Héctor Ferrada , Cristóbal A. Navarro , Nancy Hitschfeld

Subgraph matching has garnered increasing attention for its diverse real-world applications. Given the dynamic nature of real-world graphs, addressing evolving scenarios without incurring prohibitive overheads has been a focus of research.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-31 Linshan Qiu , Lu Chen , Hailiang Jie , Xiangyu Ke , Yunjun Gao , Yang Liu , Zetao Zhang

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

Matrix decompositions are ubiquitous in machine learning, including applications in dimensionality reduction, data compression and deep learning algorithms. Typical solutions for matrix decompositions have polynomial complexity which…

Machine Learning · Computer Science 2024-03-13 Łukasz Struski , Paweł Morkisz , Przemysław Spurek , Samuel Rodriguez Bernabeu , Tomasz Trzciński

The ISO C++17 standard introduces \emph{parallel algorithms}, a parallel programming model promising portability across a wide variety of parallel hardware including multi-core CPUs, GPUs, and FPGAs. Since 2019, the NVIDIA HPC SDK compiler…

Mathematical Software · Computer Science 2023-02-20 Uzmar Gomez , Gonzalo Brito Gadeschi , Tobias Weinzierl