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This paper presents an octree construction method, called Cornerstone, that facilitates global domain decomposition and interactions between particles in mesh-free numerical simulations. Our method is based on algorithms developed for 3D…

Instrumentation and Methods for Astrophysics · Physics 2023-07-14 Sebastian Keller , Aurélien Cavelan , Rubén Cabezon , Lucio Mayer , Florina M. Ciorba

Identifying clusters of similar elements in a set is a common task in data analysis. With the immense growth of data and physical limitations on single processor speed, it is necessary to find efficient parallel algorithms for clustering…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-09 Mélanie Cambus , Davin Choo , Havu Miikonen , Jara Uitto

We present a new parallel code for computing the dynamical evolution of collisional N-body systems with up to N~10^7 particles. Our code is based on the the Henon Monte Carlo method for solving the Fokker-Planck equation, and makes…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Bharath Pattabiraman , Stefan Umbreit , Wei-Keng Liao , Alok Choudhary , Vassiliki Kalogera , Gokhan Memik , Frederic A. Rasio

Dynamic programming is a powerful technique that is, unfortunately, often inherently sequential. That is, there exists no unified method to parallelize algorithms that use dynamic programming. In this paper, we attempt to address this issue…

Data Structures and Algorithms · Computer Science 2018-09-18 MohammadHossein Bateni , Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Vahab Mirrokni

In this paper we present and evaluate a parallel algorithm for solving a minimum spanning tree (MST) problem for supercomputers with distributed memory. The algorithm relies on the relaxation of the message processing order requirement for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-18 Artem Mazeev , Alexander Semenov , Alexey Simonov

We present a deterministic algorithm for solving a wide range of dynamic programming problems in trees in $O(\log D)$ rounds in the massively parallel computation model (MPC), with $O(n^\delta)$ words of local memory per machine, for any…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-08 Chetan Gupta , Rustam Latypov , Yannic Maus , Shreyas Pai , Simo Särkkä , Jan Studený , Jukka Suomela , Jara Uitto , Hossein Vahidi

We develop an algorithm to solve tridiagonal systems of linear equations, which appear in implicit finite-difference schemes of partial differential equations (PDEs), being the time-dependent Schr\"{o}dinger equation (TDSE) an ideal…

Computational Physics · Physics 2023-03-14 Yaroslav Lutsyshyn , Francisco Navarrete , Dieter Bauer

We discuss the performance of direct summation codes used in the simulation of astrophysical stellar systems on highly distributed architectures. These codes compute the gravitational interaction among stars in an exact way and have an…

Astrophysics · Physics 2008-11-26 Alessia Gualandris , Simon Portegies Zwart , Alfredo Tirado-Ramos

Modern distributed databases face challenges in achieving transactional consistency across distributed partitions. Traditional two-phase commit (2PC) protocols incur high coordination overhead and latency, and require complex recovery for…

Databases · Computer Science 2026-03-03 Quanqing Xu , Chen Qian , Chuanhui Yang , Fanyu Kong , Guixiang Liu , Fusheng Han , Zixiang Zhai

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

Computational Physics · Physics 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov

Most parallel applications suffer from load imbalance, a crucial performance degradation factor. In particle simulations, this is mainly due to the migration of particles between processing elements, which eventually gather unevenly and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-26 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard

We review the recent optimizations of gravitational $N$-body kernels for running them on graphics processing units (GPUs), on single hosts and massive parallel platforms. For each of the two main $N$-body techniques, direct summation and…

Instrumentation and Methods for Astrophysics · Physics 2014-09-22 Simon Portegies Zwart , Jeroen Bédorf

Parallelization is a necessity for large-scale simulations due to the amount of data processed. In this article we investigate different load balancing methods using Vlasiator, a global magnetospheric simulation as our case study. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-28 Leo Kotipalo , Markus Battarbee , Yann Pfau-Kempf , Vertti Tarvus , Minna Palmroth

We present preliminary results on the parallelization of a Tree-Code for evaluating gravitational forces in N-body astrophysical systems. Our HPF/CRAFT implementation on a CRAY T3E machine attained an encouraging speed-up behavior, reaching…

Astrophysics · Physics 2009-10-31 Roberto Capuzzo-Dolcetta , Paolo Miocchi

We present a novel, highly efficient algorithm to parallelize O(N^2) direct summation method for N-body problems with individual timesteps on distributed-memory parallel machines such as Beowulf clusters. Previously known algorithms, in…

Astrophysics · Physics 2009-11-07 Junichiro Makino

We describe the TreePM method for carrying out large N-Body simulations to study formation and evolution of the large scale structure in the Universe. This method is a combination of Barnes and Hut tree code and Particle-Mesh code. It…

Astrophysics · Physics 2009-10-31 J. S. Bagla

State-of-the-art numerical simulations of laser plasma by means of the Particle-in-Cell method are often extremely computationally intensive. Therefore there is a growing need for development of approaches for efficient utilization of…

In this paper, we present a new hybrid algorithm for the time integration of collisional N-body systems. In this algorithm, gravitational force between two particles is divided into short-range and long-range terms, using a…

Earth and Planetary Astrophysics · Physics 2015-05-27 Shoichi Oshino , Yoko Funato , Junichiro Makino

Astrophysical Challenges which demand the solution of the one million (or more) gravitating body problem are briefly discussed for the fields of cosmology, galactic nuclei and globular star clusters. Results from the classical three-body…

Astrophysics · Physics 2016-11-23 R. Spurzem , A. Kugel

Parallel multiphysics simulations often suffer from load imbalances originating from the applied coupling of algorithms with spatially and temporally varying workloads. It is thus desirable to minimize these imbalances to reduce the time to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-03 Christoph Rettinger , Ulrich Rüde