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One exact and two heuristic algorithms for determining the generators, orbits and order of the graph automorphism group are presented. A basic tool of these algorithms is the well-known individualization and refinement procedure. A search…

Data Structures and Algorithms · Computer Science 2016-07-27 Stoicho D. Stoichev

In this letter we describe the pseudoparticle multipole method (P2M2), a new method to express multipole expansion by a distribution of pseudoparticles. We can use this distribution of particles to calculate high order terms in both the…

Astrophysics · Physics 2009-10-31 Atsushi Kawai , Junichiro Makino

We have developed a gravity solver based on combining the well developed Particle-Mesh (PM) method and TREE methods. It is designed for and has been implemented on parallel computer architectures. The new code can deal with tens of millions…

Astrophysics · Physics 2009-10-22 Guohong Xu

The Steiner tree problem is one of the classic and most fundamental $\mathcal{NP}$-hard problems: given an arbitrary weighted graph, seek a minimum-cost tree spanning a given subset of the vertices (terminals). Byrka \emph{et al}. proposed…

Data Structures and Algorithms · Computer Science 2018-11-02 Chi-Yeh Chen

We have implemented a parallel version of the Barnes-Hut 3-D N-body tree algorithm under PVM 3.2.5, adopting an SPMD paradigm. We parallelize the problem by decomposing the physical domain by means of the {\bf Orthogonal Recursive…

Astrophysics · Physics 2007-05-23 V. Antonuccio-Delogu , U. Becciani

We present the outline of a research project aimed at designing and constructing a hybrid computing system that can be easily scaled up to petaflops speeds. As a first step, we envision building a prototype which will consist of three main…

This work presents a data-driven reduced-order modeling framework to accelerate the computations of $N$-body dynamical systems and their pair-wise interactions. The proposed framework differs from traditional acceleration methods, like the…

Computational Engineering, Finance, and Science · Computer Science 2022-04-13 Steven N. Rodriguez , Athanasios P. Iliopoulos , Kevin T. Carlberg , Steven L. Brunton , John C. Steuben , John G. Michopoulos

We discuss the cosmological simulation code GADGET-2, a new massively parallel TreeSPH code, capable of following a collisionless fluid with the N-body method, and an ideal gas by means of smoothed particle hydrodynamics (SPH). Our…

Astrophysics · Physics 2009-11-11 Volker Springel

We have developed Remote-GRAPE, a subroutine library to use the special purpose computer GRAPE-3A. The GRAPE-3A can efficiently calculate gravitational force between particles, and construct neighbor lists. All other calculations are…

Astrophysics · Physics 2009-10-30 Naohito Nakasato , Masao Mori , Ken'ichi Nomoto

We describe a parallel version of our tree-code for the simulation of self-gravitating systems in Astrophysics. It is based on a dynamic and adaptive method for the domain decomposition, which exploits the hierarchical data arrangement used…

Astrophysics · Physics 2007-05-23 P. Miocchi , R. Capuzzo-Dolcetta

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

$N$-body simulation serves as a critical method for modeling cosmic evolution and poses a significant challenge in high-performance computing. We present CUBE2, an open-source cosmological $N$-body code emphasizing memory efficiency,…

Instrumentation and Methods for Astrophysics · Physics 2026-03-05 Hao-Ran Yu , Bing-Hang Chen , Kun Xu , Ming-Jie Sheng , Jiaxin Han , Yipeng Jing , Huahua Cui

This paper presents a fast, economical particle-multiple-mesh N-body code optimized for large-N modelling of collisionless dynamical processes, such as black-hole wandering or bar-halo interactions, occurring within isolated galaxies. The…

Astrophysics · Physics 2007-11-07 John Magorrian

We introduce our new binary tree code for neighbour search and gravitational force calculations in an N-particle system. The tree is built in a "top-down" fashion by "recursive coordinate bisection" where on each tree level we split the…

Instrumentation and Methods for Astrophysics · Physics 2011-11-24 Emanuel Gafton , Stephan Rosswog

We present GRIP, a graph neural network accelerator architecture designed for low-latency inference. AcceleratingGNNs is challenging because they combine two distinct types of computation: arithmetic-intensive vertex-centric operations and…

Hardware Architecture · Computer Science 2020-07-31 Kevin Kiningham , Christopher Re , Philip Levis

We present a GPU solution for exact maximal clique enumeration (MCE) that performs a search tree traversal following the Bron-Kerbosch algorithm. Prior works on parallelizing MCE on GPUs perform a breadth-first traversal of the tree, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Mohammad Almasri , Yen-Hsiang Chang , Izzat El Hajj , Rakesh Nagi , Jinjun Xiong , Wen-mei Hwu

We introduce a data distribution scheme for $\mathcal{H}$-matrices and a distributed-memory algorithm for $\mathcal{H}$-matrix-vector multiplication. Our data distribution scheme avoids an expensive $\Omega(P^2)$ scheduling procedure used…

Numerical Analysis · Mathematics 2020-09-23 Yingzhou Li , Jack Poulson , Lexing Ying

The GRadient Ascent Pulse Engineering (GRAPE) method is widely used for optimization in quantum control. GRAPE is gradient search method based on exact expressions for gradient of the control objective. It has been applied to coherently…

Quantum Physics · Physics 2023-07-18 Vadim Petruhanov , Alexander Pechen

A wide variety of outstanding problems in astrophysics involve the motion of a large number of particles ($N\gtrsim 10^{6}$) under the force of gravity. These include the global evolution of globular clusters, tidal disruptions of stars by…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Cristián Maureira-Fredes , Pau Amaro-Seoane

Recent advancements in large language models have significantly improved their context windows, yet challenges in effective long-term memory management remain. We introduce MemTree, an algorithm that leverages a dynamic, tree-structured…

Computation and Language · Computer Science 2025-03-21 Alireza Rezazadeh , Zichao Li , Wei Wei , Yujia Bao