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We present a MATLAB-based framework for two- and three-dimensional fast Fourier transforms on multiple GPUs for large-scale numerical simulations using the pseudo-spectral Fourier method. The software implements two complementary multi-GPU…

Mathematical Software · Computer Science 2026-03-31 Maik Punke , Marco Salvalaglio

Graphics processing units (GPU) had evolved from a specialized hardware capable to render high quality graphics in games to a commodity hardware for effective processing blocks of data in a parallel schema. This evolution is particularly…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-26 Luis Cabellos

In this paper we present an optimized parallel implementation of a flexible MAP decoder for synchronization error correcting codes, supporting a very wide range of code sizes and channel conditions. On mid-range GPUs we demonstrate decoding…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-26 Johann A. Briffa

The non-equidistant fast Fourier transform (NFFT) is an extension of the famous fast Fourier transform (FFT), which can be applied to non-equidistantly sampled data in time/space or frequency domain. It is an approximative algorithm that…

Mathematical Software · Computer Science 2023-01-31 Tobias Knopp , Marija Boberg , Mirco Grosser

The Fast Fourier Transform (FFT) is a fundamental numerical technique with widespread application in a range of scientific problems. As scientific simulations attempt to exploit exascale systems, there has been a growing demand for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Sana Taghipour Anvari , Julian Samaroo , Matin Raayai Ardakani , David Kaeli

Fourier ptychography has attracted a wide range of focus for its ability of large space-bandwidth-produce, and quantative phase measurement. It is a typical computational imaging technique which refers to optimizing both the imaging…

Image and Video Processing · Electrical Eng. & Systems 2022-03-08 Guocheng Zhou , Shaohui Zhang , Yao Hu , Lei Cao , Yong Huang , Qun Hao

An existing hybrid MPI-OpenMP scheme is augmented with a CUDA-based fine grain parallelization approach for multidimensional distributed Fourier transforms, in a well-characterized pseudospectral fluid turbulence code. Basics of the hybrid…

Computational Physics · Physics 2018-08-07 Duane Rosenberg , Pablo D. Mininni , Raghu Reddy , Annick Pouquet

Parallel algorithms relying on synchronous parallelization libraries often experience adverse performance due to global synchronization barriers. Asynchronous many-task runtimes offer task futurization capabilities that minimize or remove…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-05 Alexander Strack , Christopher Taylor , Patrick Diehl , Dirk Pflüger

In this paper, we implemented both sequential and parallel version of fractal image compression algorithms using CUDA (Compute Unified Device Architecture) programming model for parallelizing the program in Graphics Processing Unit for…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-04 Md. Enamul Haque , Abdullah Al Kaisan , Mahmudur R Saniat , Aminur Rahman

Recent years have witnessed a rapid advancement in GPU technology, establishing it as a formidable high-performance parallel computing technology with superior floating-point computational capabilities compared to traditional CPUs. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-18 Xinyao Yi , Yuxin Qiao

Current generations of graphics processing units have turned into highly parallel devices with general computing capabilities. Thus, graphics processing units may be utilized, for example, to solve time dependent partial differential…

Computational Physics · Physics 2019-06-26 Heiko Bauke , Christoph H. Keitel

The nonuniform fast Fourier transform (NUFFT) enables spectral methods for problems with irregularly spaced samples, with applications in medical imaging, molecular dynamics, and kinetic plasma simulations. Existing implementations are…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Paul Fischill , Andreas Adelmann , Sriramkrishnan Muralikrishnan

Since numerical computing with MATLAB offers a wide variety of advantages, such as easier developing and debugging of computational codes rather than lower-level languages, the popularity of this tool is significantly increased in the past…

Plasma Physics · Physics 2022-11-11 Shayan Dodge , Mojtaba Shafiee , Babak Shokri

Matrix Factorization (MF) on large scale matrices is computationally as well as memory intensive task. Alternative convergence techniques are needed when the size of the input matrix is higher than the available memory on a Central…

Machine Learning · Computer Science 2019-01-21 Prasad G Bhavana , Vineet C Nair

General Purpose Graphics Processing Unit (GPGPU) computing plays a transformative role in deep learning and machine learning by leveraging the computational advantages of parallel processing. Through the power of Compute Unified Device…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Ming Li , Ziqian Bi , Tianyang Wang , Yizhu Wen , Qian Niu , Xinyuan Song , Zekun Jiang , Junyu Liu , Benji Peng , Sen Zhang , Xuanhe Pan , Jiawei Xu , Jinlang Wang , Keyu Chen , Caitlyn Heqi Yin , Pohsun Feng , Ming Liu

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

The graph Fourier transform (GFT) is an important tool for graph signal processing, with applications ranging from graph-based image processing to spectral clustering. However, unlike the discrete Fourier transform, the GFT typically does…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Keng-Shih Lu , Antonio Ortega

Fast Fourier Transforms (FFT) are widely used to reduce memory and computational costs in deep learning. However, existing implementations, including standard FFT and real FFT (rFFT), cannot achieve true in-place computation. In particular,…

Machine Learning · Computer Science 2025-12-23 Xinyu Ding , Bangtian Liu , Siyu Liao , Zhongfeng Wang

In recent years graphical processing units (GPUs) have become a powerful tool in scientific computing. Their potential to speed up highly parallel applications brings the power of high performance computing to a wider range of users.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-26 Uldis Locans , Andreas Adelmann , Andreas Suter , Jannis Fischer , Werner Lustermann , Gunther Dissertori , Qiulin Wang

In this paper, a fast and practical GPU-based implementation of Fuzzy C-Means(FCM) clustering algorithm for image segmentation is proposed. First, an extensive analysis is conducted to study the dependency among the image pixels in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-29 Mishal Almazrooie , Mogana Vadiveloo , Rosni Abdullah