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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

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

Modern graphics computing units (GPUs) are designed and optimized to perform highly parallel numerical calculations. This parallelism has enabled (and promises) significant advantages, both in terms of energy performance and calculation. In…

Hardware Architecture · Computer Science 2021-10-26 Quentin Gallouédec

Fine-grained workload and resource balancing is the key to high performance for regular and irregular computations on the GPUs. In this dissertation, we conduct an extensive survey of existing load-balancing techniques to build an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-20 Muhammad Osama

Finite element schemes based on discontinuous Galerkin methods possess features amenable to massively parallel computing accelerated with general purpose graphics processing units (GPUs). However, the computational performance of such…

Computational Physics · Physics 2016-04-20 Axel Modave , Amik St-Cyr , Tim Warburton

We adopt CUDA-capable Graphic Processing Units (GPUs) for Landau, Coulomb and maximally Abelian gauge fixing in 3+1 dimensional SU(3) and SU(2) lattice gauge field theories. A combination of simulated annealing and overrelaxation is used to…

High Energy Physics - Lattice · Physics 2014-12-12 Hannes Vogt , Mario Schröck

We present a novel, quadrature-based finite element integration method for low-order elements on GPUs, using a pattern we call \textit{thread transposition} to avoid reductions while vectorizing aggressively. On the NVIDIA GTX580, which has…

Mathematical Software · Computer Science 2016-07-15 Matthew G. Knepley , Karl Rupp , Andy R. Terrel

Kepler GTX Titan Black and Kepler Tesla K40 are still the best GPUs for high performance computing, although Maxwell GPUs such as GTX 980 are available in the market. Hence, we measure the performance of our lattice QCD codes using the…

High Energy Physics - Lattice · Physics 2014-11-11 Yong-Chull Jang , Hwancheol Jeong , Jangho Kim , Weonjong Lee , Jeonghwan Pak , Yuree Chung

Stochastic simulation techniques employed for the analysis of portfolios of insurance/reinsurance risk, often referred to as `Aggregate Risk Analysis', can benefit from exploiting state-of-the-art high-performance computing platforms. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-19 A. K. Bahl , O. Baltzer , A. Rau-Chaplin , B. Varghese , A. Whiteway

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

Using \textit{multiple streams} can improve the overall system performance by mitigating the data transfer overhead on heterogeneous systems. Prior work focuses a lot on GPUs but little is known about the performance impact on (Intel Xeon)…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-30 Zhaokui Li , Jianbin Fang , Tao Tang , Xuhao Chen , Cheng Chen , Canqun Yang

In this paper we describe, implement, and test the performance of distributed memory simulations of quantum circuits on the MSU Laconia Top500 supercomputer. Using OpenMP and MPI hybrid parallelization, we first use a distributed…

Quantum Physics · Physics 2018-06-25 Ryan LaRose

Modern OLAP systems have mitigated I/O bottlenecks via storage-compute separation and columnar layouts, but CPU costs in the execution layer (especially Top-K selection and join probe) are emerging as new bottlenecks at scale. This paper…

Hardware Architecture · Computer Science 2026-01-29 Ilsun Chang

To accelerate distributed training, many gradient compression methods have been proposed to alleviate the communication bottleneck in synchronous stochastic gradient descent (S-SGD), but their efficacy in real-world applications still…

Machine Learning · Computer Science 2023-06-16 Lin Zhang , Longteng Zhang , Shaohuai Shi , Xiaowen Chu , Bo Li

Computational inference of causal relationships underlying complex networks, such as gene-regulatory pathways, is NP-complete due to its combinatorial nature when permuting all possible interactions. Markov chain Monte Carlo (MCMC) has been…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-19 Yu Wang , Weikang Qian , Shuchang Zhang , Bo Yuan

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 present a highly parallel implementation of the cross-correlation of time-series data using graphics processing units (GPUs), which is scalable to hundreds of independent inputs and suitable for the processing of signals from "Large-N"…

Instrumentation and Methods for Astrophysics · Physics 2011-08-02 M. A. Clark , P. C. La Plante , L. J. Greenhill

Contingency analysis (CA) plays a critical role to guarantee operation security in the modern power systems. With the high penetration of renewable energy, a real-time and comprehensive N-1 CA is needed as a power system analysis tool to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-12 Yiting Zhao , Chen Yuan , Guangyi Liu , Ilya Grinberg

Graphical Processing Units (GPUs) are more and more frequently used for lattice QCD calculations. Lattice studies often require computing the quark propagators for several masses. These systems can be solved using multi-shift inverters but…

High Energy Physics - Lattice · Physics 2015-05-27 A. Alexandru , C. Pelissier , B. Gamari , F. Lee

Strong gravitational lensing is a powerful probe of cosmology and the dark matter distribution. Efficient lensing software is already a necessity to fully use its potential and the performance demands will only increase with the upcoming…

Instrumentation and Methods for Astrophysics · Physics 2019-02-12 Markus Rexroth , Christoph Schäfer , Gilles Fourestey , Jean-Paul Kneib