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In atomistic spin dynamics simulations, the time cost of constructing the space- and time-displaced pair correlation function in real space increases quadratically as the number of spins $N$, leading to significant computational effort. The…

Computational Physics · Physics 2023-08-16 Hongwei Chen , Shiyang Chen , Joshua J. Turner , Adrian Feiguin

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

We demonstrate a high-performance vendor-agnostic method for massively parallel solving of ensembles of ordinary differential equations (ODEs) and stochastic differential equations (SDEs) on GPUs. The method is integrated with a widely used…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-20 Utkarsh Utkarsh , Valentin Churavy , Yingbo Ma , Tim Besard , Prakitr Srisuma , Tim Gymnich , Adam R. Gerlach , Alan Edelman , George Barbastathis , Richard D. Braatz , Christopher Rackauckas

We describe an algorithm for computing an inverse spherical harmonic transform suitable for graphic processing units (GPU). We use CUDA and base our implementation on a Fortran90 routine included in a publicly available parallel package,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-22 Ioan O. Hupca , Joel Falcou , Laura Grigori , Radek Stompor

Over the past decade there has been a growing interest in the development of parallel hardware systems for simulating large-scale networks of spiking neurons. Compared to other highly-parallel systems, GPU-accelerated solutions have the…

Neurons and Cognition · Quantitative Biology 2021-02-22 Bruno Golosio , Gianmarco Tiddia , Chiara De Luca , Elena Pastorelli , Francesco Simula , Pier Stanislao Paolucci

Image Processing is a specialized area of Digital Signal Processing which contains various mathematical and algebraic operations such as matrix inversion, transpose of matrix, derivative, convolution, Fourier Transform etc. Operations like…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-24 Batuhan Hangün , Önder Eyecioğlu

GPUs and other accelerators are popular devices for accelerating compute-intensive, parallelizable applications. However, programming these devices is a difficult task. Writing efficient device code is challenging, and is typically done in…

Programming Languages · Computer Science 2018-10-23 Tim Besard , Christophe Foket , Bjorn De Sutter

This paper presents a computationally efficient implementation of a Hamming code decoder on a graphics processing unit (GPU) to support real-time software-defined radio (SDR), which is a software alternative for realizing wireless…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-23 Shohidul Islam , Cheol-Hong Kim , Jong-Myon Kim

Cosmological measurements require the calculation of nontrivial quantities over large datasets. The next generation of survey telescopes (such as DES, PanSTARRS, and LSST) will yield measurements of billions of galaxies. The scale of these…

Instrumentation and Methods for Astrophysics · Physics 2012-12-10 Deborah Bard , Matthew Bellis , Mark T. Allen , Hasmik Yepremyan , Jan M. Kratochvil

Noisy quantum simulation is challenging since one has to take into account the stochastic nature of the process. The dominating method for it is the density matrix approach. In this paper, we evaluate conditions for which this method is…

Quantum Physics · Physics 2022-10-31 William Berquist , Danylo Lykov , Minzhao Liu , Yuri Alexeev

The research interest in specialized hardware accelerators for deep neural networks (DNN) spikes recently owing to their superior performance and efficiency. However, today's DNN accelerators primarily focus on accelerating specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 Cong Guo , Yangjie Zhou , Jingwen Leng , Yuhao Zhu , Zidong Du , Quan Chen , Chao Li , Bin Yao , Minyi Guo

We propose a CPU-GPU heterogeneous computing method for solving time-evolution partial differential equation problems many times with guaranteed accuracy, in short time-to-solution and low energy-to-solution. On a single-GH200 node, the…

Computational Engineering, Finance, and Science · Computer Science 2024-10-01 Tsuyoshi Ichimura , Kohei Fujita , Muneo Hori , Lalith Maddegedara , Jack Wells , Alan Gray , Ian Karlin , John Linford

To analyze large sets of grid states, e.g. when evaluating the impact from the uncertainties of the renewable generation with probabilistic Monte Carlo simulation or in stationary time series simulation, large number of power flow…

Computational Engineering, Finance, and Science · Computer Science 2021-04-29 Zhenqi Wang , Sebastian Wende-von Berg , Martin Braun

An adpative integration technique for time advancement of particle motion in the context of coupled computational fluid dynamics (CFD) - discrete element method (DEM) simulations is presented in this work. CFD-DEM models provide an accurate…

Computational Physics · Physics 2018-02-28 Hariswaran Sitaraman , Ray Grout

In many computational problems in engineering and science, function or model differentiation is essential, but also integration is needed. An important class of computational problems include so-called integro-differential equations which…

Quantum Physics · Physics 2022-06-29 Niraj Kumar , Evan Philip , Vincent E. Elfving

We describe a method for parallelizing the lexicographic enumeration algorithm for the factorization set of an element in a numerical semigroup via bounds. This enables the use of GPU and distributed computing methods. We provide a CUDA…

Commutative Algebra · Mathematics 2024-05-14 Thomas Barron

Principal component analysis (PCA) is a key statistical technique for multivariate data analysis. For large data sets the common approach to PCA computation is based on the standard NIPALS-PCA algorithm, which unfortunately suffers from…

Quantitative Methods · Quantitative Biology 2008-11-10 M. Andrecut

We show how to accelerate relativistic hydrodynamics simulations using graphic cards (graphic processing units, GPUs). These improvements are of highest relevance e.g. to the field of high-energetic nucleus-nucleus collisions at RHIC and…

High Energy Physics - Phenomenology · Physics 2012-09-28 Jochen Gerhard , Volker Lindenstruth , Marcus Bleicher

Neural networks have shown great potential in accelerating the solution of partial differential equations (PDEs). Recently, there has been a growing interest in introducing physics constraints into training neural PDE solvers to reduce the…

Machine Learning · Computer Science 2023-05-30 Xinquan Huang , Wenlei Shi , Qi Meng , Yue Wang , Xiaotian Gao , Jia Zhang , Tie-Yan Liu

We consider Monte Carlo simulations of classical spin models of statistical mechanics using the massively parallel architecture provided by graphics processing units (GPUs). We discuss simulations of models with discrete and continuous…

Computational Physics · Physics 2012-07-20 Martin Weigel , Taras Yavors'kii