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We describe the use of Graphics Processing Units (GPUs) for speeding up the code NBODY6 which is widely used for direct $N$-body simulations. Over the years, the $N^2$ nature of the direct force calculation has proved a barrier for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Keigo Nitadori , Sverre J. Aarseth

The performance and accuracy of a GRAPE-3 system for collisionless N-body simulations is discussed. After a description of the hardware configurations available to us at Marseille, and the usefulness of on-line analysis, we concentrate on…

Astrophysics · Physics 2009-10-30 E. Athanassoula , A. Bosma , J. -C. Lambert , J. Makino

We describe a new method to accelerate neighbor searches on GRAPE, i.e. a special purpose hardware that efficiently calculates gravitational forces and potentials in $N$-body simulations. In addition to the gravitational calculations, GRAPE…

Astrophysics · Physics 2015-06-24 T. R. Saitoh , J. Koda

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

Hybrid computational architectures based on the joint power of Central Processing Units and Graphic Processing Units (GPUs) are becoming popular and powerful hardware tools for a wide range of simulations in biology, chemistry, engineering,…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Roberto Capuzzo-Dolcetta , Mario Spera

In astrophysics numerical star cluster simulations and hydrodynamical methods like SPH require computational performance in the petaflop range. The GRAPE family of ASIC-based accelerators improves the cost-performance ratio compared to…

Astrophysics · Physics 2007-05-23 T. Kuberka , A. Kugel , R. Maenner , H. Singpiel , R. Spurzem , R. Klessen

Commercial graphics processors (GPUs) have high compute capacity at very low cost, which makes them attractive for general purpose scientific computing. In this paper we show how graphics processors can be used for N-body simulations to…

Computational Engineering, Finance, and Science · Computer Science 2007-06-22 Erich Elsen , V. Vishal , Mike Houston , Vijay Pande , Pat Hanrahan , Eric Darve

(Abridged) We have developed a numerical software library for collisionless N-body simulations named "Phantom-GRAPE" which highly accelerates force calculations among particles by use of a new SIMD instruction set extension to the x86…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Ataru Tanikawa , Kohji Yoshikawa , Keigo Nitadori , Takashi Okamoto

We present numerical simulations of galaxy formation, one of the most challenging problems in computational astrophysics. The key point in such simulations is the efficient solution of the N--body problem. If the gas of a galaxy is treated…

Astrophysics · Physics 2007-05-23 Matthias Steinmetz

The gravitational many-body problem is a problem concerning the movement of bodies, which are interacting through gravity. However, solving the gravitational many-body problem with a CPU takes a lot of time due to O(N^2) computational…

Instrumentation and Methods for Astrophysics · Physics 2009-04-24 Kazuki Fujiwara , Naohito Nakasato

Simulations of dusty plasmas were performed using GRAPE-6, a special-purpose computer designed for gravitational N-body problems. The collective behaviour of dust particles, which are injected into the plasma, was studied by means of…

Plasma Physics · Physics 2007-05-23 Keisuke Yamamoto , Yasunori Mizuno , Hiroshi Inuzuka , Yonggao Cao , Yan Liu , Kenichi Yazawa

We continue our presentation of VINE. We begin with a description of relevant architectural properties of the serial and shared memory parallel computers on which VINE is intended to run, and describe their influences on the design of the…

Astrophysics · Physics 2009-10-02 Andrew F. Nelson , M. Wetzstein , T. Naab , .

Scaling up deep neural network capacity has been known as an effective approach to improving model quality for several different machine learning tasks. In many cases, increasing model capacity beyond the memory limit of a single…

Computer Vision and Pattern Recognition · Computer Science 2019-07-29 Yanping Huang , Youlong Cheng , Ankur Bapna , Orhan Firat , Mia Xu Chen , Dehao Chen , HyoukJoong Lee , Jiquan Ngiam , Quoc V. Le , Yonghui Wu , Zhifeng Chen

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 a new very fast tree-code which runs on massively parallel Graphical Processing Units (GPU) with NVIDIA CUDA architecture. The tree-construction and calculation of multipole moments is carried out on the host CPU, while the force…

Instrumentation and Methods for Astrophysics · Physics 2010-10-15 Evghenii Gaburov , Jeroen Bédorf , Simon Portegies Zwart

Modeling of collisionless galactic systems is based on the N-body model, which requires large computational resources due to the long-range nature of gravitational forces. The most common method for calculating gravity is the TreeCode…

Computational Physics · Physics 2024-12-03 Nikolay M. Kuzmin , Danila S. Sirotin , Alexander V. Khoperskov

A method of adapting smoothed particle hydrodynamics (SPH) with periodic boundary conditions for use with the special purpose device GRAPE is presented. GRAPE (GRAvity PipE) solves the Poisson and force equations for an N-body system by…

Astrophysics · Physics 2015-06-24 Ralf Klessen

Accurate direct $N$-body simulations help to obtain detailed information about the dynamical evolution of star clusters. They also enable comparisons with analytical models and Fokker-Planck or Monte-Carlo methods. NBODY6 is a well-known…

Instrumentation and Methods for Astrophysics · Physics 2015-09-23 Long Wang , Rainer Spurzem , Sverre Aarseth , Keigo Nitadori , Peter Berczik , M. B. N. Kouwenhoven , Thorsten Naab

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

The numerical simulations of massive collisional stellar systems, such as globular clusters (GCs), are very time-consuming. Until now, only a few realistic million-body simulations of GCs with a small fraction of binaries (5%) have been…

Instrumentation and Methods for Astrophysics · Physics 2020-07-28 Long Wang , Masaki Iwasawa , Keigo Nitadori , Junichiro Makino