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A hybrid scheme that utilizes MPI for distributed memory parallelism and OpenMP for shared memory parallelism is presented. The work is motivated by the desire to achieve exceptionally high Reynolds numbers in pseudospectral computations of…

Computational Physics · Physics 2010-03-24 Pablo D. Mininni , Duane L. Rosenberg , Raghu Reddy , Annick Pouquet

The Massive Parallel Computation (MPC) model is a theoretical framework for popular parallel and distributed platforms such as MapReduce, Hadoop, or Spark. We consider the task of computing a large matching or small vertex cover in this…

Data Structures and Algorithms · Computer Science 2018-07-24 Krzysztof Onak

Message aggregation is often used with a goal to reduce communication cost in HPC applications. The difference in the order of overhead of sending a message and cost of per byte transferred motivates the need for message aggregation, for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-07 Kavitha Chandrasekar , Laxmikant Kale

The classical-quantum system heterogeneity (different data characteristics, execution paradigms and synchronization mechanism etc.) renders existing distributed communication mechanisms (e.g. MPI, NCCL etc.) inadequate. This bottleneck…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-03 Feng Wang , Junchao Wang , Zeyuan Wang , Lei Li , Hang Lian , Yangyang Fei , Jinyang Yao , Xuyan Qi , Fudong Liu , Yifan Hou , Shibo Liang , Zheng Shan

Collective communications, namely the patterns allgatherv, reduce_scatter, and allreduce in message-passing systems are optimised based on measurements at the installation time of the library. The algorithms used are set up in an…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-24 Andreas Jocksch , Noe Ohana , Emmanuel Lanti , Vasileios Karakasis , Laurent Villard

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

FASTEST-3D is an MPI-parallel finite-volume flow solver based on block-structured meshes that has been developed at the University of Erlangen-Nuremberg since the early 1990s. It can be used to solve the laminar or turbulent incompressible…

Performance · Computer Science 2013-03-20 Christoph Scheit , Georg Hager , Jan Treibig , Stefan Becker , Gerhard Wellein

In this paper, we propose an efficient and accurate message-passing interface (MPI)-based parallel simulator for streamer discharges in three dimensions using the fluid model. First, we propose a new second-order semi-implicit scheme for…

Computational Physics · Physics 2021-12-13 Bo Lin , Chijie Zhuang , Zhenning Cai , Rong Zeng , Weizhu Bao

A common approach for designing scalable algorithms for massive data sets is to distribute the computation across, say $k$, machines and process the data using limited communication between them. A particularly appealing framework here is…

Data Structures and Algorithms · Computer Science 2017-05-24 Sepehr Assadi , Sanjeev Khanna

Performant all-to-all collective operations in MPI are critical to fast Fourier transforms, transposition, and machine learning applications. There are many existing implementations for all-to-all exchanges on emerging systems, with the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Shannon Kinkead , Jackson Wesley , Whit Schonbein , David DeBonis , Matthew G. F. Dosanjh , Amanda Bienz

Large-scale eigenvalue computations on sparse matrices are a key component of graph analytics techniques based on spectral methods. In such applications, an exhaustive computation of all eigenvalues and eigenvectors is impractical and…

Hardware Architecture · Computer Science 2021-03-19 Francesco Sgherzi , Alberto Parravicini , Marco Siracusa , Marco Domenico Santambrogio

Modern OpenMP threading techniques are used to convert the MPI-only Hartree-Fock code in the GAMESS program to a hybrid MPI/OpenMP algorithm. Two separate implementations that differ by the sharing or replication of key data structures…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-15 Vladimir Mironov , Yuri Alexeev , Kristopher Keipert , Michael D'mello , Alexander Moskovsky , Mark S. Gordon

Fully provisioned Message Passing Interface (MPI) parallelism achieves near-optimal wall-clock time for Computational Fluid Dynamics (CFD) solvers. This work addresses a complementary question for shared, cloud-managed clusters: can…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-25 Tianfang Xie

The \texttt{MPI\_Allreduce} collective operation is a core kernel of many parallel codebases, particularly for reductions over a single value per process. The commonly used allreduce recursive-doubling algorithm obtains the lower bound…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-23 Amanda Bienz , Luke N. Olson , William D. Gropp

In this article, we focus on the parallel communication cost of multiplying the same vector along two modes of a $3$-dimensional symmetric tensor. This is a key computation in the higher-order power method for determining eigenpairs of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-19 Hussam Al Daas , Grey Ballard , Laura Grigori , Suraj Kumar , Kathryn Rouse , Mathieu Vérité

The Message Passing Interface (MPI) is the most commonly used application programming interface for process communication on current large-scale parallel systems. Due to the scale and complexity of modern parallel architectures, it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-09-05 Sascha Hunold , Alexandra Carpen-Amarie , Felix Donatus Lübbe , Jesper Larsson Träff

We present a data-parallel software package for fitting Gaussian Approximation Potentials (GAPs) on multiple nodes using the ScaLAPACK library with MPI and OpenMP. Until now the maximum training set size for GAP models has been limited by…

Materials Science · Physics 2022-11-14 Sascha Klawohn , James R. Kermode , Albert P. Bartók

Many modern, high-performance systems increase the cumulated node-bandwidth by offering more than a single communication network and/or by having multiple connections to the network. Efficient algorithms and implementations for collective…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-16 Jesper Larsson Träff

Taking snapshots of the state of a distributed computation is useful for off-line analysis of the computational state, for later restarting from the saved snapshot, for cloning a copy of the computation, and for migration to a new cluster.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-09 Yao Xu , Gene Cooperman

This paper introduces the design and implementation of two parallel dual simplex solvers for general large scale sparse linear programming problems. One approach, called PAMI, extends a relatively unknown pivoting strategy called…

Optimization and Control · Mathematics 2015-03-09 Q. Huangfu , J. A. J. Hall