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Solving linear systems is a ubiquitous task in science and engineering. Because directly inverting a large-scale linear system can be computationally expensive, iterative algorithms are often used to numerically find the inverse. To…

Numerical Analysis · Mathematics 2021-07-20 Zheyuan Zhu , Andrew B. Klein , Guifang Li , Shuo Pang

Study of general purpose computation by GPU (Graphics Processing Unit) can improve the image processing capability of micro-computer system. This paper studies the parallelism of the different stages of decimation in time radix 2 FFT…

Mathematical Software · Computer Science 2015-06-01 Feifei Shen , Zhenjian Song , Congrui Wu , Jiaqi Geng , Qingyun Wang

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

The rapid adoption of low-precision arithmetic in artificial intelligence and edge computing has created a strong demand for energy-efficient and flexible floating-point multiply-accumulate (MAC) units. This paper presents a dual-precision…

Hardware Architecture · Computer Science 2026-04-10 Shubham Kumar , Vijay Pratap Sharma , Vaibhav Neema , Santosh Kumar Vishvakarma

With the rapid development of edge computing, artificial intelligence and other fields, the accuracy and efficiency of floating-point computing have become increasingly crucial. However, the traditional IEEE 754 floating-point system faces…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Xinyu Wu , Yaobin Wang , Tianyi Zhao , Jiawei Qin , Zhu Liang , Jie Fu

Floating-point computations are quickly finding their way in the design of safety- and mission-critical systems, despite the fact that designing floating-point algorithms is significantly more difficult than designing integer algorithms.…

Artificial Intelligence · Computer Science 2015-08-03 Roberto Bagnara , Matthieu Carlier , Roberta Gori , Arnaud Gotlieb

Numerical features of matrix multiplier hardware units in NVIDIA and AMD data centre GPUs have recently been studied. Features such as rounding, normalisation, and internal precision of the accumulators are of interest. In this paper, we…

Hardware Architecture · Computer Science 2025-10-21 Faizan A Khattak , Mantas Mikaitis

Commercial graphics processors (GPUs) have high compute capacity at very low cost, which makes them attractive for general purpose scientific computing. In this paper we show how graphics processors can be used for N-body simulations to…

Computational Engineering, Finance, and Science · Computer Science 2007-06-22 Erich Elsen , V. Vishal , Mike Houston , Vijay Pande , Pat Hanrahan , Eric Darve

We provide a preliminary study on utilizing GPU (Graphics Processing Unit) to accelerate computation for three simulation optimization tasks with either first-order or second-order algorithms. Compared to the implementation using only CPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-19 Jinghai He , Haoyu Liu , Yuhang Wu , Zeyu Zheng , Tingyu Zhu

We present a second-order recursive Fermi-operator expansion scheme using mixed precision floating point operations to perform electronic structure calculations using tensor core units. A performance of over 100 teraFLOPs is achieved for…

The simulation of the two-dimensional Ising model is used as a benchmark to show the computational capabilities of Graphic Processing Units (GPUs). The rich programming environment now available on GPUs and flexible hardware capabilities…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-26 Joshua Romero , Mauro Bisson , Massimiliano Fatica , Massimo Bernaschi

Elegant is an accelerator physics and particle-beam dynamics code widely used for modeling and design of a variety of high-energy particle accelerators and accelerator-based systems. In this paper we discuss a recently developed version of…

Computational Physics · Physics 2018-11-22 J. R. King , I. V. Pogorelov , K. M. Amyx , M. Borland , R. Soliday

Floating-point operations can significantly impact the accuracy and performance of scientific applications on large-scale parallel systems. Recently, an emerging floating-point format called Posit has attracted attention as an alternative…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-26 Steven W. D. Chien , Ivy B. Peng , Stefano Markidis

Modern deep neural network (DNN) models generally require a huge amount of weight and activation values to achieve good inference outcomes. Those data inevitably demand a massive off-chip memory capacity/bandwidth, and the situation gets…

Machine Learning · Computer Science 2021-04-27 Cheng-Wei Huang , Tim-Wei Chen , Juinn-Dar Huang

The paper considers the problem of implementation on graphics processors of numerical integration routines for higher order finite element approximations. The design of suitable GPU kernels is investigated in the context of general purpose…

Mathematical Software · Computer Science 2014-03-03 Krzysztof Banaś , Przemysław Płaszewski , Paweł Macioł

We present a single-node, multi-GPU programmable graph processing library that allows programmers to easily extend single-GPU graph algorithms to achieve scalable performance on large graphs with billions of edges. Directly using the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-02 Yuechao Pan , Yangzihao Wang , Yuduo Wu , Carl Yang , John D. Owens

The recent trend of using Graphics Processing Units (GPU's) for high performance computations is driven by the high ratio of price performance for these units, complemented by their cost effectiveness. At first glance, computational fluid…

Computational Engineering, Finance, and Science · Computer Science 2018-02-13 Kiril S. Shterev

In this work, approximate eight-bit floating-point operations performed using simple integer operations is discussed. For two-bit mantissa formats, faithful rounding can always be obtained for the considered operations. For all operations,…

Hardware Architecture · Computer Science 2024-06-27 Theodor Lindberg , Oscar Gustafsson

General purpose computing on graphic processing units (GPU) is a potential method of speeding up scientific computation with low cost and high energy efficiency. We experimented with the particle physics simulation toolkit Geant4 used at…

Computational Physics · Physics 2012-09-25 Otto Seiskari , Jukka Kommeri , Tapio Niemi

With the rapid advances in mobile technology many mobile devices are capable of capturing high quality images and video with their embedded camera. This paper investigates techniques for real-time processing of the resulting images,…

Graphics · Computer Science 2011-12-15 Andrew Ensor , Seth Hall