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OpenQ$^\star$D code has been used by the RC$^\star$ collaboration for the generation of fully dynamical QCD+QED gauge configurations with C$^\star$ boundary conditions. In this talk, optimization of solvers provided with the openQ$^\star$D…

High Energy Physics - Lattice · Physics 2022-02-16 Roman Gruber , Anton Kozhevnikov , Marina Krstić Marinković , Thomas C. Schulthess , Raffaele Solcà

The geometric multigrid method (GMG) is one of the most efficient solving techniques for discrete algebraic systems arising from elliptic partial differential equations. GMG utilizes a hierarchy of grids or discretizations and reduces the…

Numerical Analysis · Mathematics 2013-01-14 Chunsheng Feng , Shi Shu , Jinchao Xu , Chen-Song Zhang

We propose a GPU accelerated proximal message passing algorithm for solving contingency-constrained DC optimal power flow problems (OPF). We consider a highly general formulation of OPF that uses a sparse device-node model and supports a…

Optimization and Control · Mathematics 2024-10-23 Anthony Degleris , Abbas El Gamal , Ram Rajagopal

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

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

We propose a GPU-based iterative method for accelerated elastodynamic simulation with the log-barrier-based contact model. While Newton's method is a conventional choice for solving the interior-point system, the presence of ill-conditioned…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Dewen Guo , Minchen Li , Yin Yang , Guoping Wang , Sheng Li

We demonstrate the first implementation of recently-developed fast explicit kinetic integration algorithms on modern graphics processing unit (GPU) accelerators. Taking as a generic test case a Type Ia supernova explosion with an extremely…

Computational Physics · Physics 2016-08-01 Benjamin Brock , Andrew Belt , Jay Jay Billings , Mike Guidry

We describe GPU implementations of the matrix recommender algorithms CCD++ and ALS. We compare the processing time and predictive ability of the GPU implementations with existing multi-core versions of the same algorithms. Results on the…

Information Retrieval · Computer Science 2015-11-10 André Valente Rodrigues , Alípio Jorge , Inês Dutra

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

With large-scale Integral Field Spectroscopy (IFS) surveys of thousands of galaxies currently under-way or planned, the astronomical community is in need of methods, techniques and tools that will allow the analysis of huge amounts of data.…

Instrumentation and Methods for Astrophysics · Physics 2015-12-22 Georgios Bekiaris , Karl Glazebrook , Christopher J. Fluke , Roberto Abraham

We describe main issues and design principles of an efficient implementation, tailored to recent generations of Nvidia Graphics Processing Units (GPUs), of an Algebraic Multigrid (AMG) preconditioner previously proposed by one of the…

Numerical Analysis · Mathematics 2018-10-11 Massimo Bernaschi , Pasqua D'Ambra , Dario Pasquini

We explore the applicability of MATLAB for 3D computational fluid dynamics (CFD) of shear-driven indoor airflows. A new scale-resolving, large-eddy simulation (LES) solver titled DNSLABIB is proposed for MATLAB utilizing graphics processing…

Fluid Dynamics · Physics 2022-04-06 M. Korhonen , A. Laitinen , G. E. Isitman , J. L. Jimenez , V. Vuorinen

GPUs have climbed up to the top of supercomputer systems making life harder to many legacy scientific codes. Nowadays, many recipes are being used in such code's portability, without any clarity of which is the best option. We present a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-03 Guillermo Oyarzun , Daniel Mira , Guillaume Houzeaux

GPUs are uniquely suited to accelerate (SQL) analytics workloads thanks to their massive compute parallelism and High Bandwidth Memory (HBM) -- when datasets fit in the GPU HBM, performance is unparalleled. Unfortunately, GPU HBMs remain…

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

The conjugate gradient solver (CG) is a prevalent method for solving symmetric and positive definite linear systems Ax=b, where effective preconditioners are crucial for fast convergence. Traditional preconditioners rely on prescribed…

Machine Learning · Computer Science 2025-11-03 Zherui Yang , Zhehao Li , Kangbo Lyu , Yixuan Li , Tao Du , Ligang Liu

General-purpose Computing on Graphics Processing Units (GPGPU) has been introduced to many areas of scientific research such as bioinformatics, cryptography, computer vision, and deep learning. However, computing models in the High-energy…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-23 Max Isacson , Mattias Ellert , Richard Brenner

Implicit time integration is key to robustly simulating stiff materials and large deformations, but its performance is often dominated by repeatedly solving large linear systems. Adaptive coarsening can reduce this cost by concentrating…

Graphics · Computer Science 2026-05-07 Xuan Wang , Zhaofeng Luo , Minchen Li , Taku Komura , Kemeng Huang

Data-driven methods demonstrate considerable potential for accelerating the inherently expensive computational fluid dynamics (CFD) solvers. Nevertheless, pure machine-learning surrogate models face challenges in ensuring physical…

Fluid Dynamics · Physics 2024-09-12 Clément Caron , Philippe Lauret , Alain Bastide

The rapid progress in GPU computing has revolutionized many fields, yet its potential in mathematical programming, such as linear programming (LP), has only recently begun to be realized. This survey aims to provide a comprehensive overview…

Optimization and Control · Mathematics 2025-06-04 Haihao Lu , Jinwen Yang