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Wavelets are a new and powerful mathematical tool, whose most celebrated applications are data compression and de-noising. In Paper I (Romeo, Horellou & Bergh 2003, astro-ph/0302343), we have shown that wavelets can be used for removing…

Astrophysics · Physics 2009-11-10 Alessandro B. Romeo , Cathy Horellou , Joeran Bergh

We present a new method for generating initial conditions for numerical cosmological simulations in which massive neutrinos are treated as an extra set of N-body (collisionless) particles. It allows us to accurately follow the density field…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-26 Arka Banerjee , Devon Powell , Tom Abel , Francisco Villaescusa-Navarro

Cosmological N-Body simulations have become an essential tool for studying formation of large scale structure. These simulations are computationally challenging even though the available computing power gets better every year. A number of…

Astrophysics · Physics 2007-05-23 J. S. Bagla

For given computational resources, the accuracy of plasma simulations using particles is mainly held back by the noise due to limited statistical sampling in the reconstruction of the particle distribution function. A method based on…

Computational Physics · Physics 2009-09-03 Romain Nguyen van yen , Diego del-Castillo-Negrete , Kai Schneider , Marie Farge , Guangye Chen

High resolution dark matter only simulations provide a realistic and fully general means to study the theoretical predictions of cosmological structure formation models for gravitational lensing. Due to the finite number of particles, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Stefan Rau , Simona Vegetti , Simon D. M. White

Numerical simulations of self-gravitating systems are generally based on N-body codes, which solve the equations of motion of a large number of interacting particles. This approach suffers from poor statistical sampling in regions of low…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 Giovanni Manfredi , Jean-Louis Rouet , Bruce Miller , Yui Shiozawa

In N-body simulations of collisionless stellar systems, the forces are softened to reduce the shot noise. Softening modifies gravity at r=|x-y| smaller than softening length epsilon and the softened forces are increasingly biased for ever…

Astrophysics · Physics 2009-10-31 Walter Dehnen

The effects of particle discreteness in N-body simulations of Lambda Cold Dark Matter (LambdaCDM) are still an intensively debated issue. In this paper we explore such effects, taking into account the scatter caused by the randomness of the…

Astrophysics · Physics 2009-11-13 Alessandro B. Romeo , Oscar Agertz , Ben Moore , Joachim Stadel

Cosmological N-body simulations aim to calculate the non-linear gravitational growth of structures via particle dynamics. A crucial problem concerns the setting-up of the initial particle distribution, as standard theories of galaxy…

Astrophysics · Physics 2010-12-09 Thierry Baertschiger , Francesco Sylos Labini

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

In this review we discuss Cosmological N-Body codes with a special emphasis on Particle Mesh codes. We present the mathematical model for each component of N-Body codes. We compare alternative methods for computing each quantity by…

Astrophysics · Physics 2009-11-10 J. S. Bagla , T. Padmanabhan

When starting an N-body simulation of an isolated galaxy, it is desirable to select particles from a distribution function to ensure that the model is in equilibrium. Random sampling from a DF is widely used, but results in a set of…

Astrophysics of Galaxies · Physics 2024-03-01 J A Sellwood

In this contribution a broad overview of the methodologies of cosmological N-body simulations and a short introduction explaining the general idea behind such simulations is presented. After explaining how to set up the initial conditions…

Astrophysics · Physics 2009-11-10 Alexander Knebe

The conventional method of generating initial conditions for cosmological N-body simulations introduces a significant error in the real-space statistical properties of the particles. More specifically, the finite box size leads to a…

Astrophysics · Physics 2009-11-10 Edwin Sirko

Simulations of purely self-gravitating N-body systems are often used in astrophysics and cosmology to study the collisionless limit of such systems. Their results for macroscopic quantities should then converge well for sufficiently large…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 David Benhaiem , Michael Joyce , Francesco Sylos Labini , Tirawut Worrakitpoonpon

In this paper, we propose to improve image decomposition algorithms in the case of noisy images. In \cite{gilles1,aujoluvw}, the authors propose to separate structures, textures and noise from an image. Unfortunately, the use of separable…

Image and Video Processing · Electrical Eng. & Systems 2024-11-12 Jerome Gilles

The effects of discreteness arising from the use of the N-body method on the accuracy of simulations of cosmological structure formation are not currently well understood. After a discussion of how the relevant discretisation parameters…

Astrophysics · Physics 2009-11-13 Michael Joyce , Bruno Marcos , Thierry Baertschiger

An earlier paper presented the potentially significant discovery that disturbances in simplified simulations of a stellar disc model that was predicted to be stable in linear theory grew to large amplitude over a long period of time. The…

Astrophysics of Galaxies · Physics 2020-01-15 J. A. Sellwood

I use N-body simulations with two mass species of particles to demonstrate that disk galaxy simulations are subject to collisional relaxation at a higher rate than is widely assumed. Relaxation affects the vertical thickness of the disk…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 J. A. Sellwood

N-body simulations are essential tools in physical cosmology to understand the large-scale structure (LSS) formation of the Universe. Large-scale simulations with high resolution are important for exploring the substructure of universe and…

Computational Physics · Physics 2020-10-22 Shenggan Cheng , Hao-Ran Yu , Derek Inman , Qiucheng Liao , Qiaoya Wu , James Lin
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