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This paper presents some of our findings on the scalability of parallel 3D mesh generation on distributed memory machines. The primary objective of this study was to evaluate a distributed memory approach for implementing a 3D parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-25 Polykarpos Thomadakis , Nikos Chrisochoides

In this paper, we propose a new neural network architecture based on the H2 matrix. Even though networks with H2-inspired architecture already exist, and our approach is designed to reduce memory costs and improve performance by taking into…

Numerical Analysis · Mathematics 2022-12-27 Daria Sushnikova , Pavel Kharyuk , Ivan Oseledets

Among the algorithms that are likely to play a major role in future exascale computing, the fast multipole method (FMM) appears as a rising star. Our previous recent work showed scaling of an FMM on GPU clusters, with problem sizes in the…

Numerical Analysis · Computer Science 2012-10-30 Rio Yokota , Lorena Barba

A combination of hierarchical tree-like data structures and data access patterns from fast multipole methods and hierarchical low-rank approximation of linear operators from H-matrix methods appears to form an algorithmic path forward for…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-10 Rio Yokota , George Turkiyyah , David Keyes

Modern large-scale scientific applications consist of thousands to millions of individual tasks. These tasks involve not only computation but also communication with one another. Typically, the communication pattern between tasks is sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-03 Christian Schulz , Henning Woydt

We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing on the refined part of the mesh. Partitioning is achieved by…

Numerical Analysis · Computer Science 2021-08-04 Thomas C. Clevenger , Timo Heister , Guido Kanschat , Martin Kronbichler

Atomic multicast is a communication primitive used in dependable systems to ensure consistent ordering of messages delivered to a set of replica groups. This primitive enables critical services to integrate replication and sharding (i.e.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-10 Lorenzo Martignetti , Eliã Batista , Gianpaolo Cugola , Fernando Pedone

Approximate message passing (AMP) algorithms are iterative methods for signal recovery in noisy linear systems. In some scenarios, AMP algorithms need to operate within a distributed network. To address this challenge, the distributed…

Signal Processing · Electrical Eng. & Systems 2024-07-26 Jun Lu , Lei Liu , Shunqi Huang , Ning Wei , Xiaoming Chen

We propose a versatile feedback scheme for both single- and multi-user multiple-input multiple-output (MIMO) frequency division duplex (FDD) systems. Particularly, we propose utilizing a Gaussian mixture model (GMM) with a reduced number of…

Information Theory · Computer Science 2023-11-29 Nurettin Turan , Benedikt Fesl , Michael Koller , Michael Joham , Wolfgang Utschick

This paper presents a distributed memory method for anisotropic mesh adaptation that is designed to avoid the use of collective communication and global synchronization techniques. In the presented method, meshing functionality is separated…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-18 Kevin Garner , Polykarpos Thomadakis , Nikos Chrisochoides

This article introduces a new fast direct solver for linear systems arising out of wide range of applications, integral equations, multivariate statistics, radial basis interpolation, etc., to name a few. \emph{The highlight of this new…

Numerical Analysis · Mathematics 2014-07-08 Sivaram Ambikasaran , Eric Darve

Distributed optimization has attracted lots of attention in the operation of power systems in recent years, where a large area is decomposed into smaller control regions each solving a local optimization problem with periodic information…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Junyao Guo , Gabriela Hug , Ozan Tonguz

While fast multipole methods (FMMs) are in widespread use for the rapid evaluation of potential fields governed by the Laplace, Helmholtz, Maxwell or Stokes equations, their coupling to high-order quadratures for evaluating layer potentials…

Numerical Analysis · Mathematics 2021-04-26 Leslie Greengard , Michael O'Neil , Manas Rachh , Felipe Vico

We present the pseudo-particle multipole method (P2M2), a new method to handle multipole expansion in fast multipole method and treecode. This method uses a small number of pseudo-particles to express multipole expansion. With this method,…

Astrophysics · Physics 2007-05-23 Atsushi Kawai , Junichiro Makino

Fast Multipole Methods (FMM) are a fundamental operation for the simulation of many physical problems. The high performance design of such methods usually requires to carefully tune the algorithm for both the targeted physics and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-04 Emmanuel Agullo , Béranger Bramas , Olivier Coulaud , Eric Darve , Matthias Messner , Takahashi Toru

Fast multipole methods have O(N) complexity, are compute bound, and require very little synchronization, which makes them a favorable algorithm on next-generation supercomputers. Their most common application is to accelerate N-body…

Numerical Analysis · Computer Science 2012-03-06 Hatem Ltaief , Rio Yokota

A common paradigm for scientific computing is distributed message-passing systems, and a common approach to these systems is to implement them across clusters of high-performance workstations. As multi-core architectures become increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-01 Christine Task , Arun Chauhan

Fast algorithms for the computation of $N$-body problems can be broadly classified into mesh-based interpolation methods, and hierarchical or multiresolution methods. To this last class belongs the well-known fast multipole method (FMM),…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-21 Felipe A. Cruz , Matthew G. Knepley , L. A. Barba

We present a new scalable algorithm for short-range molecular dynamics simulations on distributed memory MIMD multicomputer based on a message-passing multi-cell approach. We have implemented the algorithm on the Connection Machine 5 (CM-5)…

comp-gas · Physics 2008-02-03 D. M. Beazley , P. S. Lomdahl

In this paper, we investigate the low-complexity distributed combining scheme design for near-field cell-free extremely large-scale multiple-input-multiple-output (CF XL-MIMO) systems. Firstly, we construct the uplink spectral efficiency…

Signal Processing · Electrical Eng. & Systems 2026-02-04 Zhe Wang , Jiayi Zhang , Bokai Xu , Dusit Niyato , Bo Ai , Shiwen Mao , Zhu Han