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We implemented the pressure-implicit with splitting of operators (PISO) and semi-implicit method for pressure-linked equations (SIMPLE) solvers of the Navier-Stokes equations on Fermi-class graphics processing units (GPUs) using the CUDA…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-01 Tadeusz Tomczak , Katarzyna Zadarnowska , Zbigniew Koza , Maciej Matyka , Łukasz Mirosław

We investigate ancilla-free linear combination of unitaries (LCU) as a framework for approximating complex quantum circuits. This is particularly effective for quantum optimization algorithms, where candidate solutions can be evaluated…

Quantum Physics · Physics 2026-05-20 Almudena Carrera Vazquez , Daniel J. Egger , Stefan Woerner

Restricted solid on solid surface growth models can be mapped onto binary lattice gases. We show that efficient simulation algorithms can be realized on GPUs either by CUDA or by OpenCL programming. We consider a deposition/evaporation…

Computational Physics · Physics 2015-03-17 Henrik Schulz , Géza Ódor , Gergely Ódor , Máté Ferenc Nagy

We present the first GPU-based conjugate gradient (CG) solver for lattice QCD with domain-wall fermions (DWF). It is well-known that CG is the most time-consuming part in the Hybrid Monte Carlo simulation of unquenched lattice QCD, which…

High Energy Physics - Lattice · Physics 2011-01-04 Ting-Wai Chiu , Tung-Han Hsieh , Yao-Yuan Mao , Kenji Ogawa

Collisional processes are critical in the understanding of non-Maxwellian plasmas. The Landau form of the Fokker-Planck equation is the gold standard for modeling collisions in most plasmas, however O(N^2) work complexity inhibits its…

Plasma Physics · Physics 2023-06-07 M. F. Adams , D. P. Brennan , M. G. Knepley , P. Wang

The paper presents the aspect of use of modern graphics accelerators supporting CUDA technology for high-performance computing in the field of linear algebra. Fully programmable graphic cards have been available for several years for both…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-27 Lukasz Swierczewski

We present recent results for the Landau-gauge gluon and ghost propagators in SU(3) lattice gluodynamics obtained on a sequence of lattices with linear extension ranging from L=64 to L=96 at $\beta = 5.70$, thus reaching "deep infrared"…

High Energy Physics - Lattice · Physics 2009-05-18 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

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

We describe an implementation of compressible inviscid fluid solvers with block-structured adaptive mesh refinement on Graphics Processing Units using NVIDIA's CUDA. We show that a class of high resolution shock capturing schemes can be…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Peng Wang , Tom Abel , Ralf Kaehler

This paper introduces cuHALLaR, a GPU-accelerated implementation of the HALLaR method proposed in Monteiro et al. 2024 for solving large-scale semidefinite programming (SDP) problems. We demonstrate how our Julia-based implementation…

The numerical integration of stochastic trajectories to estimate the time to pass a threshold is an interesting physical quantity, for instance in Josephson junctions and atomic force microscopy, where the full trajectory is not accessible.…

Computational Physics · Physics 2018-02-15 Vincenzo Pierro , Luigi Troiano , Elena Mejuto , Giovannni Filatrella

We discuss critical slowing-down of several gauge-fixing algorithms for the so-called lambda-gauges in the SU(2) case at zero temperature. For these gauges we also evaluate the gluon propagator using different definitions of the lattice…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri , Tereza Mendes

We propose the first GPU algorithm for the 3D triangulation refinement problem. For an input of a piecewise linear complex $\mathcal{G}$ and a constant $B$, it produces, by adding Steiner points, a constrained Delaunay triangulation…

Graphics · Computer Science 2019-03-11 Zhenghai Chen , Tiow-Seng Tan

We are improving one of the available lattice software packages HiRep by adding GPU acceleration supporting highly-optimized simulations on both NVIDIA and AMD GPUs. HiRep allows lattice simulations of theories with fermions in higher…

High Energy Physics - Lattice · Physics 2024-05-30 Sofie Martins , Erik Kjellgren , Emiliano Molinaro , Claudio Pica , Antonio Rago

We report on our implementation of the RHMC algorithm for the simulation of lattice QCD with two staggered flavors on Graphics Processing Units, using the NVIDIA CUDA programming language. The main feature of our code is that the GPU is not…

High Energy Physics - Lattice · Physics 2012-01-26 Claudio Bonati , Guido Cossu , Massimo D'Elia , Pietro Incardona

FETI is a numerical method used to solve engineering problems. It builds on the ideas of domain decomposition, which makes it highly scalable and capable of efficiently utilizing whole supercomputers. One of the most time-consuming parts of…

Mathematical Software · Computer Science 2025-09-26 Jakub Homola , Radim Vavřík , Ondřej Meca , Tomáš Brzobohatý , Lubomír Říha

In this paper we present a tool that performs CUDA accelerated LTL Model Checking. The tool exploits parallel algorithm MAP adjusted to the NVIDIA CUDA architecture in order to efficiently detect the presence of accepting cycles in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-15 Jiří Barnat , Luboš Brim , Milan Češka

We present a scheme for the parallelization of quantum Monte Carlo on graphical processing units, focusing on bosonic systems and variational Monte Carlo. We use asynchronous execution schemes with shared memory persistence, and obtain an…

Computational Physics · Physics 2014-12-10 Y. Lutsyshyn

Gauge fixing is a frequent task encountered in practical lattice gauge theory calculations. We review the performance characteristics of some standard gauging procedures for non-abelian gauge theories, implemented on the parallel machines…

High Energy Physics - Lattice · Physics 2007-05-23 H. Suman , K. Schilling

The past decade has witnessed a dramatic acceleration of lattice quantum chromodynamics calculations in nuclear and particle physics. This has been due to both significant progress in accelerating the iterative linear solvers using…

High Energy Physics - Lattice · Physics 2016-12-26 M. A. Clark , Bálint Joó , Alexei Strelchenko , Michael Cheng , Arjun Gambhir , Richard Brower