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Graphic Processing Units (GPUs) are getting increasingly important as target architectures in scientific High Performance Computing (HPC). NVIDIA established CUDA as a parallel computing architecture controlling and making use of the…

High Energy Physics - Lattice · Physics 2011-05-12 Frank Winter

Practitioners of lattice QCD/QFT have been some of the primary pioneer users of the state-of-the-art high-performance-computing systems, and contribute towards the stress tests of such new machines as soon as they become available. As with…

High Energy Physics - Lattice · Physics 2015-02-04 Thorsten Kurth , Andrew Pochinsky , Abhinav Sarje , Sergey Syritsyn , Andre Walker-Loud

Fluid simulations are often performed using the incompressible Navier-Stokes equations (INSE), leading to sparse linear systems which are difficult to solve efficiently in parallel. Recently, kinetic methods based on the…

Graphics · Computer Science 2021-01-29 Yixin Chen , Wei Li , Rui Fan , Xiaopei Liu

The dominant cost of most lattice QCD simulations is the inversion of the Dirac operator required to calculate the force term in the RHMC update. One way to improve this situation is to use multiple pseudofermions, which reduces the size…

High Energy Physics - Lattice · Physics 2018-10-24 Philippe de Forcrand , Liam Keegan

When simulating a lattice system near its critical temperature, local algorithms for modeling the system's evolution can introduce very large autocorrelation times into sampled data. This critical slowing down places restrictions on the…

High Energy Physics - Lattice · Physics 2023-03-01 Tristan Protzman , Joel Giedt

Modern graphics processing units (GPUs) provide impressive computing resources, which can be accessed conveniently through the CUDA programming interface. We describe how GPUs can be used to considerably speed up molecular dynamics (MD)…

Computational Physics · Physics 2011-04-08 Peter H. Colberg , Felix Höfling

Quantum chromodynamics, most commonly referred to as QCD, is a relativistic quantum field theory for the strong interaction between subatomic particles called quarks and gluons. The most systematic way of calculating the strong interactions…

High Energy Physics - Lattice · Physics 2017-06-06 Dean P. Thomas , Rita Borgo , Robert S. Laramee , Simon J. Hands

Lattice Quantum ChromoDynamics (QCD), and by extension its parent field, Lattice Gauge Theory (LGT), make up a significant fraction of supercomputing cycles worldwide. As such, it would be irresponsible not to evaluate machines' suitability…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-23 Ed Bennett , Luigi Del Debbio , Kirk Jordan , Biagio Lucini , Agostino Patella , Claudio Pica , Antonio Rago

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

Practical aperture synthesis imaging algorithms work by iterating between estimating the sky brightness distribution and a comparison of a prediction based on this estimate with the measured data ("visibilities"). Accuracy in the latter…

Instrumentation and Methods for Astrophysics · Physics 2021-02-26 Karel Adámek , Peter Wortmann , Bojan Nikolic , Ben Mort , Wesley Armour

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

This work concerns the numerical simulation of the Vlasov-Poisson set of equations using semi- Lagrangian methods on Graphical Processing Units (GPU). To accomplish this goal, modifications to traditional methods had to be implemented.…

Plasma Physics · Physics 2013-01-25 M. Mehrenberger , C. Steiner , L. Marradi , N. Crouseilles , E. Sonnendrucker , B. Afeyan

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

A multigrid scheme is proposed for the pressure equation of the incompressible unsteady fluid flow equations, allowing efficient implementation on clusters of modern CPUs, many integrated core devices (MICs), and graphics processing units…

Numerical Analysis · Mathematics 2014-08-19 György Tegze , Gyula I. Tóth

A coarse grid correction (CGC) approach is proposed to enhance the efficiency of the matrix exponential and $\varphi$ matrix function evaluations. The approach is intended for iterative methods computing the matrix-vector products with…

Numerical Analysis · Mathematics 2024-04-23 Mike A. Botchev

An efficient method, preconditioned conjugate gradient method with a filtering function (PCG-F), is proposed for solving iteratively the Dirac equation in 3D lattice space for nuclear systems. The filtering function is adopted to avoid the…

Nuclear Theory · Physics 2020-10-14 B. Li , Z. X. Ren , P. W. Zhao

Over the last ten years, graphics processors have become the de facto accelerator for data-parallel tasks in various branches of high-performance computing, including machine learning and computational sciences. However, with the recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-28 Johannes Pekkilä , Oskar Lappi , Fredrik Robertsén , Maarit J. Korpi-Lagg

In this paper, we introduce a practical GPU-enhanced matrix-free first-order method for solving large-scale conic programming problems, which we refer to as PDCS, standing for the Primal-Dual Conic Programming Solver. Problems that it…

Optimization and Control · Mathematics 2026-04-03 Zhenwei Lin , Zikai Xiong , Dongdong Ge , Yinyu Ye

Solving partial differential equations is crucial to analysing and predicting complex, large-scale physical systems but pushes conventional high-performance computers to their limits. Application specific photonic processors are an exciting…

Computational Physics · Physics 2025-11-04 Timoteo Lee , Frank Brückerhoff-Plückelmann , Jelle Dijkstra , Jan M. Pawlowski , Wolfram Pernice

Computational fluid dynamics and fluid-structure interaction simulations involving moving and deforming bodies is extremely hard. In this work, we present a graphical processing unit (GPU) optimized implementation of the sharp-interface…

Computational Physics · Physics 2026-05-07 Sushrut Kumar , Joshua Romero , Jung-Hee Seo , Massimiliano Fatica , Rajat Mittal