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The reproducibility of experiments is one of the main principles of the scientific method. However, numerical N-body experiments, especially those of planetary systems, are currently not reproducible. In the most optimistic scenario, they…

Earth and Planetary Astrophysics · Physics 2017-01-26 Hanno Rein , Daniel Tamayo

Astronomers have come to rely on the increasing performance of computers to reduce, analyze, simulate and visualize their data. In this environment, faster computation can mean more science outcomes or the opening up of new parameter spaces…

Instrumentation and Methods for Astrophysics · Physics 2010-01-14 Benjamin R. Barsdell , David G. Barnes , Christopher J. Fluke

We investigate a hybrid numerical algorithm aimed at the large-scale cosmological N-body simulation for the on-going and the future high precious sky surveys. It makes use of a truncated Fast Multiple Method (FMM) for short-range gravity,…

Computational Physics · Physics 2021-01-13 Qiao Wang

Cosmic structure simulations have improved enormously over the past decade, both in terms of the resolution which can be achieved, and with the addition of hydrodynamic and other techniques to formerly purely gravitational methods. This is…

Astrophysics · Physics 2007-05-23 H. M. P. Couchman

In Astrophysics, the identification of candidate Globular Clusters through deep, wide-field, single band HST images, is a typical data analytics problem, where methods based on Machine Learning have revealed a high efficiency and…

Instrumentation and Methods for Astrophysics · Physics 2017-10-12 Giuseppe Angora , Massimo Brescia , Giuseppe Riccio , Stefano Cavuoti , Maurizio Paolillo , Thomas H. Puzia

The simulation of rich star clusters presents challenging problems of several kinds, including the design of suitable hardware and software, and numerous theoretical problems in stellar dynamics and stellar physics. Great progress has been…

Astrophysics · Physics 2007-05-23 D. C. Heggie

The paper presents a numerical implementation of the gravitational N-body problem with contact interactions between non-spherically shaped bodies. The work builds up on a previous implementation of the code and extends its capabilities. The…

Earth and Planetary Astrophysics · Physics 2019-12-11 F. Ferrari , M. Lavagna , E. Blazquez

With the current hybridization of treecodes and FMMs, combined with auto-tuning capabilities on heterogeneous architectures, the flexibility of fast N-body methods has been greatly enhanced. These features are a requirement to developing a…

Numerical Analysis · Computer Science 2012-08-14 Rio Yokota , Lorena A. Barba

It is well-known that some star clusters contain composite stellar populations (CSPs), in which the metallicities or (and) ages of stars are different. The formation and evolution of such clusters and their stellar populations remain…

Astrophysics of Galaxies · Physics 2025-11-11 Zhongmu Li , Rainer Spurzem

The gravitational N-body simulation in the Solar system was performed using different parallel approaches with the comparisons in the computational times and speed-up values being carried out under different model sizes and the number of…

Earth and Planetary Astrophysics · Physics 2022-01-03 Tailin Zhu

Our idea is to imitate Smale's list of problems, in a restricted domain of mathematical aspects of Celestial Mechanics. All the problems are on the n-body problem, some with different homogeneity of the potential, addressing many aspects…

Mathematical Physics · Physics 2013-05-15 Alain Albouy , Hildeberto E. Cabral , Alan A. Santos

Since its first formulation in 1983, Milgromian dynamics (MOND) has been very successful in predicting the gravitational potential of galaxies from the distribution of baryons alone, including general scaling relations and detailed rotation…

Astrophysics of Galaxies · Physics 2015-06-19 Fabian Lüghausen , Benoit Famaey , Pavel Kroupa

The GRAPE-4, the world's fastest computer in 1995-1997, has produced some major scientific results, through a wide diversity of large-scale simulations in astrophysics. Applications have ranged from planetary formation, through the…

Astrophysics · Physics 2016-08-30 Piet Hut , Jun Makino

This lecture gives a short introduction to different methods used in cosmology. The focus is on major features of N-body simulations: equations, main numerical techniques, effects of resolution, and methods of halo identification.

Astrophysics · Physics 2007-05-23 Anatoly Klypin

We provide introductory explanations and illustrations of the $N$-body hydrodynamics code Charm N-body GrAvity solver (ChaNGa). ChaNGa simulates the gravitational motion and gas dynamics of matter in space, with the goal of modeling…

Instrumentation and Methods for Astrophysics · Physics 2023-06-07 J. W. Powell , L. Caudill , O. Young

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

We present the results of gravitational direct $N$-body simulations using the commercial graphics processing units (GPU) NVIDIA Quadro FX1400 and GeForce 8800GTX, and compare the results with GRAPE-6Af special purpose hardware. The force…

Astrophysics · Physics 2008-11-26 Simon Portegies Zwart , Robert Belleman , Peter Geldof

We present a new time-stepping criterion for N-body simulations that is based on the true dynamical time of a particle. This allows us to follow the orbits of particles correctly in all environments since it has better adaptivity than…

Astrophysics · Physics 2009-10-12 Marcel Zemp , Joachim Stadel , Ben Moore , C. Marcella Carollo

In this talk we discuss some of the main theoretical problems in the understanding of the statistical properties of gravity. By means of N-body simulations we approach the problem of understanding the r\^ole of gravity in the clustering of…

Statistical Mechanics · Physics 2009-11-07 M. Bottaccio , R. Capuzzo Dolcetta , P. Miocchi , A. Amici , M. Montuori , L. Pietronero

This work discusses the main analogies and differences between the deterministic approach underlying most cosmological N-body simulations and the probabilistic interpretation of the problem that is often considered in mathematics and…

Astrophysics of Galaxies · Physics 2018-07-03 Mario Romero , Yago Ascasibar
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