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An algorithm for the numerical inversion of large matrices, the biconjugate gradient algorithm (BGA), is investigated in view of its use for Monte Carlo simulations of fermionic field theories. It is compared with the usual conjugate…

High Energy Physics - Lattice · Physics 2007-05-23 Markus Plagge

Analysis of processing time and similarity of images generated between CPU and GPU architectures and sequential and parallel programming. For image processing a computer with AMD FX-8350 processor and an Nvidia GTX 960 Maxwell GPU was used,…

Results on the computational efficiency of 2-flavor staggered Wilson fermions compared to usual Wilson fermions in a quenched lattice QCD simulation on $16^3\times32$ lattice at $\beta=6$ are reported. We compare the cost of inverting the…

High Energy Physics - Lattice · Physics 2013-12-18 David H. Adams , Daniel Nogradi , Andrii Petrashyk , Christian Zielinski

This dissertation presents the design, implementation and evaluation of GPU-accelerated simulation frameworks for Evolutionary Spatial Cyclic Games (ESCGs), a class of agent-based models used to study ecological and evolutionary dynamics.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Louie Sinadjan

General-relativistic magnetohydrodynamic (GRMHD) simulations have revolutionized our understanding of black hole accretion. Here, we present a graphics processing unit (GPU) accelerated GRMHD code \hammer{} with multi-faceted optimizations…

High Energy Astrophysical Phenomena · Physics 2022-12-06 M. T. P. Liska , K. Chatterjee , D. Issa , D. Yoon , N. Kaaz , A. Tchekhovskoy , D. van Eijnatten , G. Musoke , C. Hesp , V. Rohoza , S. Markoff , A. Ingram , M. van der Klis

This review gives an overview on the research of algorithms for dynamical fermions used in large scale lattice QCD simulations. First a short overview on the state-of-the-art of ensemble generation at the physical point is given. Followed…

High Energy Physics - Lattice · Physics 2024-02-20 Jacob Finkenrath

GPU computing is embracing weak memory concurrency for performance improvement. However, compared to CPUs, modern GPUs provide more fine-grained concurrency features such as scopes, have additional properties like divergence, and thereby…

Logic in Computer Science · Computer Science 2025-05-27 Soham Chakraborty , S. Krishna , Andreas Pavlogiannis , Omkar Tuppe

We present a convex hull algorithm that is accelerated on commodity graphics hardware. We analyze and identify the hurdles of writing a recursive divide and conquer algorithm on the GPU and divise a framework for representing this class of…

Computational Geometry · Computer Science 2015-03-20 Stanley Tzeng , John D. Owens

GPUs have been widely used to accelerate computations exhibiting simple patterns of parallelism - such as flat or two-level parallelism - and a degree of parallelism that can be statically determined based on the size of the input dataset.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Hancheng Wu , Da Li , Michela Becchi

In this paper, we focus on three sparse matrix operations that are relevant for machine learning applications, namely, the sparse-dense matrix multiplication (SPMM), the sampled dense-dense matrix multiplication (SDDMM), and the composition…

Machine Learning · Computer Science 2023-11-02 Mohammad Zubair , Christoph Bauinger

The field of plasma physics heavily relies on simulations to model various phenomena, such as instabilities, turbulence, and nonlinear behaviors that would otherwise be difficult to study from a purely theoretical approach. Simulations are…

Plasma Physics · Physics 2026-02-05 Giorgio Daneri

While FPGAs have been used extensively as hardware accelerators in industrial computation, no theoretical model of computation has been devised for the study of FPGA-based accelerators. In this paper, we present a theoretical model of…

Data Structures and Algorithms · Computer Science 2018-11-19 Martin Hora , Václav Končický , Jakub Tětek

We present parallel version of Rosenbluth Self-Avoiding Walk generation method implemented on Graphics Processing Units (GPUs) using CUDA libraries. The method scales almost linearly with the number of CUDA cores and the method efficiency…

Computational Physics · Physics 2017-04-17 Yachong Guo , Vladimir A. Baulin

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

Gradient descent (GD) methods are commonly employed in machine learning problems to optimize the parameters of the model in an iterative fashion. For problems with massive datasets, computations are distributed to many parallel computing…

Information Theory · Computer Science 2019-03-06 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

In this paper, we show the effectiveness of a pipeline implementation of Dynamic Programming (DP) on GPU. As an example, we explain how to solve a matrix-chain multiplication (MCM) problem by DP on GPU. This problem can be sequentially…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-06 Susumu Matsumae , Makoto Miyazaki

We present a GPU-accelerated method for muon transport based on histogram sampling that delivers orders of magnitude faster performance than CPU-based Geant4 simulation. Our method employs precomputed histograms of momentum loss and…

Computational Physics · Physics 2025-12-12 Luis Felipe P. Cattelan , Shah Rukh Qasim , Patrick H. Owen , Nicola Serra

Edge computing's growing prominence, due to its ability to reduce communication latency and enable real-time processing, is promoting the rise of high-performance, heterogeneous System-on-Chip solutions. While current approaches often…

Artificial Intelligence · Computer Science 2024-09-24 Rakshith Jayanth , Neelesh Gupta , Viktor Prasanna

A projection-based immersed boundary method is dominated by sparse linear algebra routines. Using the open-source Cusp library, we observe a speedup (with respect to a single CPU core) which reflects the constraints of a bandwidth-dominated…

Computational Engineering, Finance, and Science · Computer Science 2016-04-12 Simon K Layton , Anush Krishnan , Lorena A. Barba

Here we present an implementation of Primal-Dual Affine scaling method to solve linear optimization problem on GPU based systems. Strategies to convert the system generated by complementary slackness theorem into a symmetric system are…

Numerical Analysis · Computer Science 2015-02-13 Nithish Divakar
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