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Cosmological simulations require the use of a multiple time-stepping scheme. Without such a scheme, cosmological simulations would be impossible due to their high level of dynamic range; over eleven orders of magnitude in density. Such a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-05 Josh Borrow , Richard G. Bower , Peter W. Draper , Pedro Gonnet , Matthieu Schaller

We present a novel $N$-body simulation method that compactifies the infinite spatial extent of the Universe into a finite sphere with isotropic boundary conditions to follow the evolution of the large-scale structure. Our approach…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Gábor Rácz , István Szapudi , István Csabai , László Dobos

Background: As traditional coding tasks in education become increasingly vulnerable to the use of Generative AI, there is a critical need for authentic, project-based assessments that evaluate students' scientific inquiry. To address this…

Physics Education · Physics 2026-05-11 Sean Savage , Amir Bralin , Paul Hur , N. Sanjay Rebello

We investigate the possibility of generating initial conditions for cosmological N-body simulations by simulating a system whose correlations at thermal equilibrium approximate well those of cosmological density perturbations. The system is…

Astrophysics · Physics 2009-11-10 M. Joyce , D. Levesque , B. Marcos

We present PySCo, a fast and user-friendly Python library designed to run cosmological $N$-body simulations across various cosmological models, such as $\Lambda$CDM and $w_0w_a$CDM, and alternative theories of gravity, including $f(R)$,…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-08 Michel-Andrès Breton

The computational power increases over the past decades havegreatly enhanced the ability to simulate chemical reactions andunderstand ever more complex transformations. Tensor contractions are the fundamental computational building block of…

Mathematical Software · Computer Science 2022-01-02 Erdal Mutlu , Ruiqin Tian , Bin Ren , Sriram Krishnamoorthy , Roberto Gioiosa , Jacques Pienaar , Gokcen Kestor

Cosmological simulations of structure formation follow the collisionless evolution of dark matter starting from a nearly homogeneous field at early times down to the highly clustered configuration at redshift zero. The density field is…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Francesca Iannuzzi , Klaus Dolag

This is the first in a series of papers devoted to fully general-relativistic $N$-body simulations applied to late-time cosmology. The purpose of this paper is to present the combination of a numerical relativity scheme, discretization…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-29 David Daverio , Yves Dirian , Ermis Mitsou

We present $\texttt{Abacus}$, a fast and accurate cosmological $N$-body code based on a new method for calculating the gravitational potential from a static multipole mesh. The method analytically separates the near- and far-field forces,…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-25 Lehman H. Garrison , Daniel J. Eisenstein , Douglas Ferrer , Nina A. Maksimova , Philip A. Pinto

We present Kosmulator, a modular and vectorised Python framework designed to accelerate the statistical testing of cosmological models. As the theoretical landscape expands beyond standard $\Lambda$CDM, implementing new expansion histories…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-10 Renier T. Hough , Robert Rugg , Shambel Sahlu , Amare Abebe

This technical paper describes a software package that was designed to produce initial conditions for large cosmological simulations in the context of the Horizon collaboration. These tools generalize E. Bertschinger's Grafic1 software to…

Astrophysics · Physics 2009-11-13 S. Prunet , C. Pichon , D. Aubert , D. Pogosyan , R. Teyssier , S. Gottloeber

Neural simulators promise efficient surrogates for physics simulation, but scaling them is bottlenecked by the prohibitive cost of generating high-fidelity training data. Pre-training on abundant off-the-shelf geometries offers a natural…

Machine Learning · Computer Science 2026-05-21 Haixu Wu , Minghao Guo , Zongyi Li , Zhiyang Dou , Mingsheng Long , Kaiming He , Wojciech Matusik

Numerical simulations have become one of the key tools used by theorists in all the fields of astrophysics and cosmology. The development of modern tools that target the largest existing computing systems and exploit state-of-the-art…

We present cosmo_learn, an open-source python-based software package designed to simulate cosmological data and perform data-driven inference using a range of modern statistical and machine learning techniques. Motivated by the growing…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-29 Reginald Christian Bernardo , Daniela Grandón , Jackson Levi Said , Víctor H. Cárdenas , Gene Carlo Belinario , Reinabelle Reyes

We present MG-GLAM, a code developed for the very fast production of full $N$-body cosmological simulations in modified gravity (MG) models. We describe the implementation, numerical tests and first results of a large suite of cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-13 Cheng-Zong Ruan , César Hernández-Aguayo , Baojiu Li , Christian Arnold , Carlton M. Baugh , Anatoly Klypin , Francisco Prada

Current and upcoming cosmological observations allow us to probe structures on smaller and smaller scales, entering highly nonlinear regimes. In order to obtain theoretical predictions in these regimes, large cosmological simulations have…

Numerical simulations are a versatile tool providing insight into the complicated process of structure formation in cosmology. This process is mainly governed by gravity, which is the dominant force on large scales. To date, a century after…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-04 Julian Adamek , David Daverio , Ruth Durrer , Martin Kunz

An improved implementation of an N-body code for simulating collisionless cosmological dynamics is presented. TPM (Tree-Particle-Mesh) combines the PM method on large scales with a tree code to handle particle-particle interactions at small…

Astrophysics · Physics 2009-11-07 Paul Bode , Jeremiah P. Ostriker

A combined N--body/SPH code is presented which benefits from the high speed of the special purpose hardware GRAPE (GRAvity PipE). Besides gravitational forces, GRAPE also returns the list of neighbours and can, therefore, be used to speed…

Astrophysics · Physics 2015-06-24 Matthias Steinmetz

We introduce a new code for cosmological simulations, PHoToNs, which has features on performing massive cosmological simulations on heterogeneous high performance Computer (HPC) and threads oriented programming. PHoToNs adopts a hybrid…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-13 Qiao Wang , Zongyan Cao , Liang Gao , Xuebin Chi , Chen Meng , Jie Wang , Long Wang