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We present a parallel FFT algorithm for SIMD systems following the `Transpose Algorithm' approach. The method is based on the assignment of the data field onto a 1-dimensional ring of systolic cells. The systolic array can be universally…

High Energy Physics - Lattice · Physics 2015-06-25 Thomas Lippert , Klaus Schilling , Federico Toschi , Sven Trentmann , Raffaele Tripiccione

Modern compute nodes in high-performance computing provide a tremendous level of parallelism and processing power. However, as arithmetic performance has been observed to increase at a faster rate relative to memory and network bandwidths,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-11 Johannes Pekkilä , Miikka S. Väisälä , Maarit J. Käpylä , Matthias Rheinhardt , Oskar Lappi

The integration of quantum chemical methods with high-performance computing is indispensable for handling large systems with modest accuracy or even small systems but with high accuracy. Continuing with the unified implementation of…

Chemical Physics · Physics 2026-02-05 Qingpeng Wang , Ning Zhang , Wenjian Liu

We introduce a Fourier-based fast algorithm for Gaussian process regression in low dimensions. It approximates a translationally-invariant covariance kernel by complex exponentials on an equispaced Cartesian frequency grid of $M$ nodes.…

Computation · Statistics 2023-05-19 Philip Greengard , Manas Rachh , Alex Barnett

Big graphs (networks) arising in numerous application areas pose significant challenges for graph analysts as these graphs grow to billions of nodes and edges and are prohibitively large to fit in the main memory. Finding the number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-19 Shaikh Arifuzzaman , Maleq Khan , Madhav Marathe

It is well known that modern functional programming languages are naturally amenable to parallel programming. Achieving efficient parallelism using functional languages, however, remains difficult. Perhaps the most important reason for this…

Programming Languages · Computer Science 2018-02-20 Adrien Guatto , Sam Westrick , Ram Raghunathan , Umut Acar , Matthew Fluet

Two-Dimensional (2D) Discrete Fourier Transform (DFT) is a basic and computationally intensive algorithm, with a vast variety of applications. 2D images are, in general, non-periodic, but are assumed to be periodic while calculating their…

Computer Vision and Pattern Recognition · Computer Science 2016-03-17 Faisal Mahmood , Märt Toots , Lars-Göran Öfverstedt , Ulf Skoglund

We discuss practical methods to ensure near wirespeed performance from clusters with either one or two Intel(R) Omni-Path host fabric interfaces (HFI) per node, and Intel(R) Xeon Phi(TM) 72xx (Knight's Landing) processors, and using the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-15 Peter Boyle , Michael Chuvelev , Guido Cossu , Christopher Kelly , Christoph Lehner , Lawrence Meadows

MPI applications matter. However, with the advent of many-core processors, traditional MPI applications are challenged to achieve satisfactory performance. This is due to the inability of these applications to respond to load imbalances, to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-20 Jan Ciesko , Pedro J. Martínez-Ferrer , Raúl Peñacoba Veigas , Xavier Teruel , Vicenç Beltran

2D convolution is a staple of digital image processing. The advent of large format imagers makes it possible to literally ``pave'' with silicon the focal plane of an optical sensor, which results in very large images that can require a…

Astrophysics · Physics 2015-05-26 Jeremy Kepner

The nonlinear Fourier transform (NFT) has recently gained significant attention in fiber optic communications and other engineering fields. Although several numerical algorithms for computing the NFT have been published, the design of…

Signal Processing · Electrical Eng. & Systems 2019-10-17 Shrinivas Chimmalgi , Peter J. Prins , Sander Wahls

We present a new library for parallel distributed Fast Fourier Transforms (FFT). The importance of FFT in science and engineering and the advances in high performance computing necessitate further improvements. AccFFT extends existing FFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-27 Amir Gholami , Judith Hill , Dhairya Malhotra , George Biros

Non-uniform fast Fourier Transform (NUFFT) and inverse NUFFT (INUFFT) algorithms, based on the Fast Multipole Method (FMM) are developed and tested. Our algorithms are based on a novel factorization of the FFT kernel, and are implemented…

Numerical Analysis · Computer Science 2016-11-30 Nail A. Gumerov , Ramani Duraiswami

Quicksort is an instructive classroom approach to parallel sorting on distributed memory parallel computers with many opportunities for illustrating specific implementation alternatives and tradeoffs with common communication interfaces…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-25 Jesper Larsson Träff

This paper presents a distributed resource allocation algorithm to jointly optimize the power allocation, channel allocation and relay selection for decode-and-forward (DF) relay networks with a large number of sources, relays, and…

Information Theory · Computer Science 2015-03-19 Yin Sun , Zhoujia Mao , Xiaofeng Zhong , Yuanzhang Xiao , Shidong Zhou , Ness B. Shroff

Surrogate models can play a pivotal role in enhancing performance in contemporary High-Performance Computing applications. Cache-based surrogates use already calculated simulation results to interpolate or extrapolate further simulation…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-22 Max Lübke , Marco De Lucia , Steffen Christgau , Stefan Petri , Bettina Schnor

Applications in science and engineering often require huge computational resources for solving problems within a reasonable time frame. Parallel supercomputers provide the computational infrastructure for solving such problems. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajesh Sudarsan , Calvin J. Ribbens

MatlabMPI is a Matlab implementation of the Message Passing Interface (MPI) standard and allows any Matlab program to exploit multiple processors. MatlabMPI currently implements the basic six functions that are the core of the MPI…

Astrophysics · Physics 2007-05-23 Jeremy Kepner

This paper proposes a highly efficient global coded-multiplexing scheme, conceptualized as Orthogonal Frequency Division Multiplexing over a finite field (FF-OFDM), for reliable multiuser communications. By utilizing a prime length cyclic…

Information Theory · Computer Science 2026-05-12 Juane Li , Qi-yue Yu , Khaled Abdel-Ghaffar , Shu Lin

We present hybrid OpenMP/MPI (Open Multi-Processing/Message Passing Interface) parallelized versions of earlier published C programs (D. Vudragovic et al., Comput. Phys. Commun. 183, 2021 (2012)) for calculating both stationary and…