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We discuss the implementation of a new regular algorithm for simulation of the gravitational few-body problem. The algorithm uses components from earlier methods, including the chain structure, the logarithmic Hamiltonian, and the…

Astrophysics · Physics 2009-11-13 Seppo Mikkola , David Merritt

An accurate and efficient method dealing with the few-body dynamics is important for simulating collisional N-body systems like star clusters and to follow the formation and evolution of compact binaries. We describe such a method which…

Earth and Planetary Astrophysics · Physics 2020-02-21 Long Wang , Keigo Nitadori , Junichiro Makino

This paper presents OCTOPUS, a relativistic ray-tracing algorithm developed within a Fortran-based, OpenMP-accelerated framework, designed for asymptotically flat, spherically symmetric curved spacetimes. The code efficiently and accurately…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Shiyang Hu , Shijie Tan , Dan Li , Lina Zhang , Chen Deng , Wenfu Cao

To fully unlock the scientific potential of upcoming gravitational wave (GW) interferometers, numerical relativity (NR) simulation accuracy will need to be greatly enhanced. We present three infrastructure-agnostic improvements to the…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Zachariah B. Etienne

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

Simulating the evolution of the gravitational N-body problem becomes extremely computationally expensive as N increases since the problem complexity scales quadratically with the number of bodies. We study the use of Artificial Neural…

Earth and Planetary Astrophysics · Physics 2023-11-01 Veronica Saz Ulibarrena , Philipp Horn , Simon Portegies Zwart , Elena Sellentin , Barry Koren , Maxwell X. Cai

We implement a sub-resolution prescription for the unresolved dynamical friction onto black holes (BHs) in the OpenGadget3 code. We carry out cosmological simulations of a volume of 16 cMpc3 and zoom-ins of a galaxy group and of a galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-09 Alice Damiano , Milena Valentini , Stefano Borgani , Luca Tornatore , Giuseppe Murante , Antonio Ragagnin , Cinthia Ragone-Figueroa , Klaus Dolag

This paper presents a computationally efficient optimization algorithm for solving nonconvex optimal control problems that involve discrete logic constraints. Traditional solution methods for these constraints require binary variables and…

Optimization and Control · Mathematics 2021-07-16 Danylo Malyuta , Behcet Acikmese

REBOUND is a new multi-purpose N-body code which is freely available under an open-source license. It was designed for collisional dynamics such as planetary rings but can also solve the classical N-body problem. It is highly modular and…

Earth and Planetary Astrophysics · Physics 2012-01-24 Hanno Rein , Shang-Fei Liu

Observation and characterisation of gravitational waves from binary black holes requires accurate knowledge of the expected waveforms. The late inspiral and merger phase of the waveform is obtained through direct numerical integration of…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Ian Hinder , Serguei Ossokine , Harald P. Pfeiffer , Alessandra Buonanno

We introduce a class of fourth order symplectic algorithms that are ideal for doing long time integration of gravitational few-body problems. These algorithms have only positive time steps, but require computing the force gradient in…

Astrophysics · Physics 2007-05-23 Siu A. Chin , C. R. Chen

Building upon the efficient implementation of hybrid density functionals (HDFs) for large-scale periodic systems within the framework of numerical atomic orbital bases using the localized resolution of identity (RI) technique, we have…

Computational Physics · Physics 2025-07-03 Yu Cao , Min-Ye Zhang , Peize Lin , Mohan Chen , Xinguo Ren

Inspired by the recent 11th Global Trajectory Optimisation Competition, this paper presents the asteroid routing problem (ARP) as a realistic benchmark of algorithms for expensive bound-constrained black-box optimization in permutation…

Optimization and Control · Mathematics 2022-04-20 Manuel López-Ibáñez , Francisco Chicano , Rodrigo Gil-Merino

This paper is concerned with quadrature/cubature rules able to deal with multiple subspaces of functions, in such a way that the integration points are common for all the subspaces, yet the weights are tailored to each specific subspace.…

Mathematical Physics · Physics 2024-08-05 J. R. Bravo , J. A. Hernández , S. Ares de Parga , R. Rossi

Apparent horizon (AH) finders are essential for characterizing black holes and excising their interiors in numerical relativity (NR) simulations. However, open-source AH finders to date are tightly coupled to individual NR codes. We…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Zachariah B. Etienne , Thiago Assumpção , Leonardo Rosa Werneck , Samuel D. Tootle

This work presents Adaptive Robot Coordination (ARC), a novel hybrid framework for multi-robot motion planning (MRMP) that employs local subproblems to resolve inter-robot conflicts. ARC creates subproblems centered around conflicts, and…

Robotics · Computer Science 2023-12-15 Irving Solis , James Motes , Mike Qin , Marco Morales , Nancy M. Amato

The geodesy of irregularly shaped small bodies presents fundamental challenges for gravitational field modeling, particularly as deep space exploration missions increasingly target asteroids and comets. Traditional approaches suffer from…

Earth and Planetary Astrophysics · Physics 2026-04-23 Pietro Fanti , Dario Izzo

Associated to every stationary extremal black hole is a unique near-horizon geometry, itself a solution of the field equations. These latter spacetimes are more tractable to analyze and most importantly, retain properties of the original…

High Energy Physics - Theory · Physics 2015-05-28 Hari K. Kunduri

We present IAS15, a 15th-order integrator to simulate gravitational dynamics. The integrator is based on a Gau\ss-Radau quadrature and can handle conservative as well as non-conservative forces. We develop a step-size control that can…

Earth and Planetary Astrophysics · Physics 2015-06-22 Hanno Rein , David S. Spiegel

With the forthcoming VLBI images of Sgr A* and M87, simulations of accretion flows onto black holes acquire a special importance to aid with the interpretation of the observations and to test the predictions of different accretion…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Hector Olivares , Oliver Porth , Yosuke Mizuno
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