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The alternating direction method of multipliers (ADMM) is a powerful operator splitting technique for solving structured convex optimization problems. Due to its relatively low per-iteration computational cost and ability to exploit…

Optimization and Control · Mathematics 2020-06-09 Michel Schubiger , Goran Banjac , John Lygeros

In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Target-Matrix Optimization Paradigm (TMOP) and uses a global…

Mathematical Software · Computer Science 2022-12-28 Jean-Sylvain Camier , Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

We present a GPU implementation of vertex-patch smoothers for higher order finite element methods in two and three dimensions. Analysis shows that they are not memory bound with respect to GPU DRAM, but with respect to on-chip scratchpad…

Numerical Analysis · Mathematics 2025-05-07 Cu Cui , Paul Grosse-Bley , Guido Kanschat , Robert Strzodka

We introduce a fusion of GPU accelerated primal heuristics for Mixed Integer Programming. Leveraging GPU acceleration enables exploration of larger search regions and faster iterations. A GPU-accelerated PDLP serves as an approximate LP…

Optimization and Control · Mathematics 2025-10-31 Akif Çördük , Piotr Sielski , Alice Boucher , Kumar Aatish

We introduce a new GPU-accelerated general-relativistic magneto-hydrodynamic (GR-MHD) code based on HARM which we call cuHARM. The code is written in CUDA-C and uses OpenMP to parallelize multi-GPU setups. Our code allows us to run high…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Damien Bégué , Asaf Pe'er , Guoqiang Zhang , BinBin Zhang , Benjamin Pevzner

I consider techniques for Berger-Oliger adaptive mesh refinement (AMR) when numerically solving partial differential equations with wave-like solutions, using characteristic (double-null) grids. Such AMR algorithms are naturally recursive,…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Jonathan Thornburg

As deep learning continues to advance and is applied to increasingly complex scenarios, the demand for concurrent deployment of multiple neural network models has arisen. This demand, commonly referred to as multi-tenant computing, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-25 Yongbo Yu , Fuxun Yu , Mingjia Zhang , Di Wang , Tolga Soyata , Chenchen Liu , Xiang Chen

Today's scientific simulations require a significant reduction of data volume because of extremely large amounts of data they produce and the limited I/O bandwidth and storage space. Error-bounded lossy compression has been considered one…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-09 Daoce Wang , Jesus Pulido , Pascal Grosset , Sian Jin , Jiannan Tian , James Ahrens , Dingwen Tao

Application of realism enhancement methods, particularly in real-time and resource-constrained settings, has been frustrated by the expense of existing methods. These achieve high quality results only at the cost of long runtimes and high…

Graphics · Computer Science 2023-06-08 Arturo Salmi , Szabolcs Cséfalvay , James Imber

Searching for sources of electromagnetic emission in spectral-line radio astronomy interferometric data is a computationally intensive process. Parallel programming techniques and High Performance Computing hardware may be used to improve…

Instrumentation and Methods for Astrophysics · Physics 2015-07-20 Stefan Westerlund , Christopher Harris

Approximate nearest neighbor search (ANNS) is a core problem in machine learning and information retrieval applications. GPUs offer a promising path to high-performance ANNS: they provide massive parallelism for distance computations, are…

Databases · Computer Science 2026-02-05 Hunter McCoy , Zikun Wang , Prashant Pandey

Experience replay is an essential component in deep reinforcement learning (DRL), which stores the experiences and generates experiences for the agent to learn in real time. Recently, prioritized experience replay (PER) has been proven to…

Hardware Architecture · Computer Science 2024-03-06 Mengyuan Li , Arman Kazemi , Ann Franchesca Laguna , X. Sharon Hu

Numerical simulations of two-phase flow and fluid structure interaction problems are of great interest in many environmental problems and engineering applications. To capture the complex physical processes involved in these problems, a high…

Fluid Dynamics · Physics 2023-06-02 Yadong Zeng

We ported to the GPU with CUDA the Astrometric Verification Unit-Global Sphere Reconstruction (AVU-GSR) Parallel Solver developed for the ESA Gaia mission, by optimizing a previous OpenACC porting of this application. The code aims to find,…

Instrumentation and Methods for Astrophysics · Physics 2023-08-03 Valentina Cesare , Ugo Becciani , Alberto Vecchiato , Mario Gilberto Lattanzi , Fabio Pitari , Marco Aldinucci , Beatrice Bucciarelli

The present paper describes a parallel unstructured-mesh Plasma simulation code based on Finite Volume method. The code dynamically refines and coarses mesh for accurate resolution of the different features regarding the electron density.…

Computational Physics · Physics 2022-12-26 Imad Kissami , Souhail Maazioui , Fayssal Benkhaldoun

It has been widely accepted that Graphics Processing Units (GPU) is one of promising schemes for encryption acceleration, in particular, the support of complex mathematical calculations such as integer and logical operations makes the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-15 Canhui Wang , Xiaowen Chu

Algorithms that promise to leverage resources of quantum computers efficiently to accelerate the finite element method have emerged. However, the finite element method is usually incorporated into a high-level numerical scheme which allows…

Quantum Physics · Physics 2025-04-03 Elise Fressart , Michel Nowak , Nicole Spillane

This work proposes a GPU tensor core approach that encodes the arithmetic reduction of $n$ numbers as a set of chained $m \times m$ matrix multiply accumulate (MMA) operations executed in parallel by GPU tensor cores. The asymptotic running…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Cristóbal A. Navarro , Roberto Carrasco , Ricardo J. Barrientos , Javier A. Riquelme , Raimundo Vega

This paper presents, to the author's knowledge, the first graphics processing unit (GPU) accelerated program that solves the evolution of interacting scalar fields in an expanding universe. We present the implementation in NVIDIA's Compute…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 Jani Sainio

With the hardware support for half-precision arithmetic on NVIDIA V100 GPUs, high-performance computing applications can benefit from lower precision at appropriate spots to speed up the overall execution time. In this paper, we investigate…

Mathematical Software · Computer Science 2020-07-16 Kyaw L. Oo , Andreas Vogel