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The numerical integration of particle trajectories in curved spacetimes is fundamental for obtaining realistic models of the particle dynamics around massive compact objects such as black holes and neutron stars. Generalized algorithms…

High Energy Astrophysical Phenomena · Physics 2018-07-18 Fabio Bacchini , Bart Ripperda , Alexander Yuran Chen , Lorenzo Sironi

This paper presents a brief but comprehensive introduction to certain mathematical techniques in General Relativity. Familiar mathematical procedures are investigated taking into account the complications of introducing a non trivial…

Mathematical Physics · Physics 2008-11-06 Andrew DeBenedictis

pyGDM is a python toolkit for electro-dynamical simulations of individual nano-structures, based on the Green Dyadic Method (GDM). pyGDM uses the concept of a generalized propagator, which allows to solve cost-efficiently monochromatic…

Gravitational waves from binary black hole (BBH) mergers allow us to test general relativity in the strong-field, high-curvature regime. However, existing gravitational wave-based tests have so far assumed non-eccentric signal sources,…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Danilo Chiaramello , Nicolò Cibrario , Jacob Lange , Koustav Chandra , Rossella Gamba , Raffaella Bonino , Alessandro Nagar

pyGDM is a python toolkit for electro-dynamical simulations in nano-optics based on the Green Dyadic Method (GDM). In contrast to most other coupled-dipole codes, pyGDM uses a generalized propagator, which allows to cost-efficiently solve…

Computational Physics · Physics 2020-01-28 Peter R. Wiecha

We present Paicos, a new object-oriented Python package for analyzing simulations performed with Arepo. Paicos strives to reduce the learning curve for students and researchers getting started with Arepo simulations. As such, Paicos…

Instrumentation and Methods for Astrophysics · Physics 2024-04-24 Thomas Berlok , Léna Jlassi , Ewald Puchwein , Troels Haugbølle

As wide-field surveys yield ever more precise measurements, cosmology has entered a phase of high precision requiring highly accurate and fast theoretical predictions. At the heart of most cosmological model predictions is a numerical…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-18 Alexandre Refregier , Lukas Gamper , Adam Amara , Lavinia Heisenberg

Accurate orbit modeling plays a key role in contemporary and future space missions such as GRACE and its successor GRACE-FO, GNSS, and altimetry missions. To fully exploit the technological capabilities and correctly interpret measurements,…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Dennis Philipp , Florian Wöske , Liliane Biskupek , Eva Hackmann , Enrico Mai , Meike List , Claus Lämmerzahl , Benny Rievers

Geometry is a fundamental part of robotics and there have been various frameworks of representation over the years. Recently, geometric algebra has gained attention for its property of unifying many of those previous ideas into one algebra.…

Robotics · Computer Science 2023-10-31 Tobias Löw , Philip Abbet , Sylvain Calinon

We present the new version of FeynGrav, a package that provides a set of tools to work with Feynman rules for gravity models. The new version addresses two principal issues and includes changes that improve user experience. Firstly, we…

High Energy Physics - Theory · Physics 2026-05-07 Boris Latosh

Automated searches for strong gravitational lensing in optical imaging survey datasets often employ machine learning and deep learning approaches. These techniques require more example systems to train the algorithms than have presently…

Instrumentation and Methods for Astrophysics · Physics 2021-02-08 Robert Morgan , Brian Nord , Simon Birrer , Joshua Yao-Yu Lin , Jason Poh

This document serves to complement our website which was developed with the aim of exposing the students to Gaussian Processes (GPs). GPs are non-parametric Bayesian regression models that are largely used by statisticians and geospatial…

Machine Learning · Computer Science 2018-09-07 Kshitij Tiwari

The aim of this work is to present a series of concrete examples which illustrate how the computer algebra system Cadabra can be used to manipulate expressions appearing in General Relativity and other gravitational theories. We highlight…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Oscar Castillo-Felisola , Dominic T. Price , Mattia Scomparin

Sparse linear algebra is a cornerstone of many scientific computing and machine learning applications. Python has become a popular choice for these applications due to its simplicity and ease of use. Yet high performance sparse kernels in…

Mathematical Software · Computer Science 2025-10-10 Keshvi Tuteja , Gregor Olenik , Roman Mishchuk , Yu-Hsiang Tsai , Markus Götz , Achim Streit , Hartwig Anzt , Charlotte Debus

Today, the motion of spacecrafts is still described according to the classical Newtonian equations plus the so-called "relativistic corrections", computed with the required precision using the Post-(Post-)Newtonian formalism. The current…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. Pireaux , J-P. Barriot , P. Rosenblatt

Numerical relativity has brought about profound and wide-ranging influences on modern astrophysics and gravitational-wave astronomy. In this study, we present a user-friendly Python interface for the numerical relativity code AMSS-NCKU.…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Chen-Kai Qiao , Yi Zheng , Zhou-Jian Cao

In this paper, we introduce the Python framework PyMGRIT, which implements the multigrid-reduction-in-time (MGRIT) algorithm for solving the (non-)linear systems arising from the discretization of time-dependent problems. The MGRIT…

Mathematical Software · Computer Science 2020-08-13 Jens Hahne , Stephanie Friedhoff , Matthias Bolten

The standard paradigm of cosmology assumes General Relativity (GR) is a valid theory for gravity at scales in which it has not been properly tested. Developing novel tests of GR and its alternatives is crucial if we want to give strength to…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-22 Claudio Llinares

Mass redistribution on Earth due to dynamic processes such as ice melting and sea level rise leads to a changing gravitational field, observable by geodetic techniques. Monitoring this change over time allows us to learn more about our…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Eva Hackmann , Moritz Huckfeldt , Claus Lämmerzahl , Dennis Philipp , Benny Rievers

In the field of global optimization, many existing algorithms face challenges posed by non-convex target functions and high computational complexity or unavailability of gradient information. These limitations, exacerbated by sensitivity to…

Optimization and Control · Mathematics 2023-10-16 Xinyu Zhang , Sujit Ghosh