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We present a code allowing to evolve three-dimensional self-gravitating collisionless systems with a large number of particles N >= 10^7. FLY (Fast Level-based N-bodY code) is a fully parallel code based on a tree algorithm. It adopts…

Astrophysics · Physics 2007-05-23 U. Becciani , V. Antonuccio-Delogu , F. Buonomo , C. Gheller

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

We present the capabilities and results of the Parallel Edge-based Tool for Geophysical Electromagnetic modeling (PETGEM), as well as the physical and numerical foundations upon which it has been developed. PETGEM is an open-source and…

Computational Physics · Physics 2018-08-02 Octavio Castillo-Reyes , Josep de la Puente , José María Cela

The $hp$-adaptive finite element method (FEM) - where one independently chooses the mesh size ($h$) and polynomial degree ($p$) to be used on each cell - has long been known to have better theoretical convergence properties than either $h$-…

Numerical Analysis · Mathematics 2023-09-14 Marc Fehling , Wolfgang Bangerth

We present an MPI + OpenACC implementation of the kernel-independent barycentric Lagrange treecode (BLTC) for fast summation of particle interactions on GPUs. The distributed memory parallelization uses recursive coordinate bisection for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-17 Nathan Vaughn , Leighton Wilson , Robert Krasny

The P$^3$T scheme is a hybrid method for simulating gravitational $N$-body systems. It combines a fast particle-tree (PT) algorithm for long-range forces with a high-accuracy particle-particle (PP, direct $N$-body) solver for short-range…

Instrumentation and Methods for Astrophysics · Physics 2026-01-13 Long Wang , David M. Hernandez , Zepeng Zheng , Wanhao Huang

The present work attempts to integrate the independent efforts in the fast N-body community to create the fastest N-body library for many-core and heterogenous architectures. Focus is placed on low accuracy optimizations, in response to the…

Numerical Analysis · Computer Science 2012-09-20 Rio Yokota

The block tree [Belazzougui et al., J. Comput. Syst. Sci. '21] is a compressed representation of a length-$n$ text that supports access, rank, and select queries while requiring only $O(z\log\frac{n}{z})$ words of space, where $z$ is the…

Data Structures and Algorithms · Computer Science 2025-12-30 Robert Clausecker , Florian Kurpicz , Etienne Palanga

Decision tree (and its extensions such as Gradient Boosting Decision Trees and Random Forest) is a widely used machine learning algorithm, due to its practical effectiveness and model interpretability. With the emergence of big data, there…

Machine Learning · Computer Science 2016-11-07 Qi Meng , Guolin Ke , Taifeng Wang , Wei Chen , Qiwei Ye , Zhi-Ming Ma , Tie-Yan Liu

This paper proposes a Generalized Power Method (GPM) to tackle the problem of community detection and group synchronization simultaneously in a direct non-convex manner. Under the stochastic group block model (SGBM), theoretical analysis…

Optimization and Control · Mathematics 2021-12-30 Sijin Chen , Xiwei Cheng , Anthony Man-Cho So

Parallelism has become a central concern in modern decoding frameworks aiming to meet stringent throughput and latency requirements. Guessing Random Additive Noise Decoding (GRAND) is a recently proposed decoding paradigm that tests…

Information Theory · Computer Science 2026-05-04 Li Wan , Huarui Yin , Wenyi Zhang

We propose a parallel graph-based data clustering algorithm using CUDA GPU, based on exact clustering of the minimum spanning tree in terms of a minimum isoperimetric criteria. We also provide a comparative performance analysis of our…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-17 Ramin Javadi , Saleh Ashkboos

GoTools is a program which solves life & death problems in the game of Go. This paper describes experiments using a Genetic Algorithm to optimize heuristic weights used by GoTools' tree-search. The complete set of heuristic weights is…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Matthew Pratola , Thomas Wolf

We present a hybrid technique of N-body simulation to deal with collisionless stellar systems having an inhomogeneous global structure. We combine a treecode and a self-consistent field code such that each of the codes model a different…

Astrophysics · Physics 2009-10-30 S. Vine , S. Sigurdsson

We present a novel lossless universal source coding algorithm that uses parallel computational units to increase the throughput. The length-$N$ input sequence is partitioned into $B$ blocks. Processing each block independently of the other…

Information Theory · Computer Science 2016-03-27 Nikhil Krishnan , Dror Baron , Mehmet Kıvanç Mıhçak

The forest-of-octrees approach to parallel adaptive mesh refinement and coarsening (AMR) has recently been demonstrated in the context of a number of large-scale PDE-based applications. Although linear octrees, which store only leaf…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-05 Tobin Isaac , Carsten Burstedde , Lucas C. Wilcox , Omar Ghattas

In this paper, we study the computation of shortest paths within the \emph{geometric amoebot model}, a commonly used model for programmable matter. Shortest paths are essential for various tasks and therefore have been heavily investigated…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Andreas Padalkin , Christian Scheideler

We present an algorithm named "Chamomile Scheme". The scheme is fully optimized for calculating gravitational interactions on the latest programmable Graphics Processing Unit (GPU), NVIDIA GeForce8800GTX, which has (a) small but fast shared…

Astrophysics · Physics 2007-05-23 Tsuyoshi Hamada , Toshiaki Iitaka

Numerous applications of Eikonal equations prompted the development of many efficient numerical algorithms. The Heap-Cell Method (HCM) is a recent serial two-scale technique that has been shown to have advantages over other serial…

Numerical Analysis · Mathematics 2014-10-02 Adam Chacon , Alexander Vladimirsky

We present the barycentric Lagrange dual tree traversal (BLDTT) fast summation method for particle interactions. The scheme replaces well-separated particle-particle interactions by adaptively chosen particle-cluster, cluster-particle, and…

Computational Physics · Physics 2021-06-02 Leighton Wilson , Nathan Vaughn , Robert Krasny