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Projectile motion is one of the most fundamental problems in introductory physics, offering a clear context to connect algebraic reasoning with conceptual understanding. This work presents a computational and pedagogical framework that…

Teaching the general theory of relativity to high school or undergraduate students must be based on an approach that is conceptual rather than mathematical. In this paper we present such an approach that requires no more than elementary…

Physics Education · Physics 2015-06-19 C. Zahn , U. Kraus

Recent progress in the development of quantum technologies has enabled the direct investigation of dynamics of increasingly complex quantum many-body systems. This motivates the study of the complexity of classical algorithms for this…

Quantum Physics · Physics 2023-07-12 Dominik S. Wild , Álvaro M. Alhambra

The use of vectorial parameterization to create geometrical representations in computational models has a large number of applications. One particular application is the calculation of the 3D rotational motion of rigid bodies, that could be…

Quantum Physics · Physics 2022-03-29 Emilio Pelaez , Anuranan Das , Parmeet Singh Chani , Daniel Sierra-Sosa

Numerical relativity codes that do not make assumptions on spatial symmetries most commonly adopt Cartesian coordinates. While these coordinates have many attractive features, spherical coordinates are much better suited to take advantage…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Vassilios Mewes , Yosef Zlochower , Manuela Campanelli , Ian Ruchlin , Zachariah B. Etienne , Thomas W. Baumgarte

We developed a new general-relativistic quantum-kinetics neutrino transport code, GRQKNT, for numerical studies of quantum kinetics of non-equilibrium neutrinos in six-dimensional phase space. This code is intended for use in both local and…

High Energy Astrophysical Phenomena · Physics 2022-10-05 Hiroki Nagakura

A cutting-edge software is presented to tackle the Newton-Euler equations governing the dynamics of granular flows and dense suspensions in Newtonian fluids. In particular, we propose an implementation of a fixed-radius near neighbours…

Fluid Dynamics · Physics 2022-06-30 Alessandro Monti , Vikram Rathee , Amy Q. Shen , Marco E. Rosti

When a group acts on a set, it naturally partitions it into orbits, giving rise to orbit problems. These are natural algorithmic problems, as symmetries are central in numerous questions and structures in physics, mathematics, computer…

Computational Complexity · Computer Science 2025-10-14 Peter Bürgisser , Mahmut Levent Doğan , Visu Makam , Michael Walter , Avi Wigderson

The generalized Schr\"odinger-Newton system of equations with both local and nonlocal nonlinearities is widely used to describe light propagating in nonlinear media under the paraxial approximation. However, its use is not limited to…

General Relativity and Quantum Cosmology · Physics 2020-02-12 Tiago D. Ferreira , Nuno A. Silva , O. Bertolami , C. Gomes , A. Guerreiro

We present an open source Python library for simulating overlapping (i.e., blended) images of galaxies and performing self-consistent comparisons of detection and deblending algorithms based on a suite of metrics. The package, named…

A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et.al. Using higher-order geodesic deviation…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Mohaddese Heydari-Fard , Malihe Heydari-Fard , Hamid Reza Sepangi

Numerous cutting-edge scientific technologies originate at the laboratory scale, but transitioning them to practical industry applications is a formidable challenge. Traditional pilot projects at intermediate scales are costly and…

Computational Engineering, Finance, and Science · Computer Science 2024-01-22 Seung Whan Chung , Youngsoo Choi , Pratanu Roy , Thomas Moore , Thomas Roy , Tiras Y. Lin , Du Y. Nguyen , Christopher Hahn , Eric B. Duoss , Sarah E. Baker

We review various approaches to approximating general relativistic effects in hydrodynamic simulations of stellar core collapse and post-bounce evolution. Different formulations of a modified Newtonian gravitational potential are presented.…

Astrophysics · Physics 2009-11-11 Harald Dimmelmeier , Pablo Cerda-Duran , Andreas Marek , Guillaume Faye

This article introduces GuessCompx which is an R package that performs an empirical estimation on the time and memory complexities of an algorithm or a function. It tests multiple increasing-sizes samples of the user's data and attempts to…

Data Structures and Algorithms · Computer Science 2020-10-22 Marc Agenis-Nevers , Neeraj Dhanraj Bokde , Zaher Mundher Yaseen , Mayur Shende

The article presents some aspects on the use of computer in teaching general relativity for undergraduate students with some experience in computer manipulation. The article presents some simple algebraic programming (in REDUCE+EXCALC…

Physics Education · Physics 2007-05-23 Florin A. Ghergu , Dumitru N. Vulcanov

This paper presents gnss_lib_py, a Python library used to parse, analyze, and visualize data from a variety of GNSS (Global Navigation Satellite Systems) data sources. The gnss_lib_py library's ease of use, modular capabilities, testing…

Robotics · Computer Science 2024-08-20 Derek Knowles , Ashwin Vivek Kanhere , Daniel Neamati , Grace Gao

Deep learning has become the gold standard for image processing over the past decade. Simultaneously, we have seen growing interest in orbital activities such as satellite servicing and debris removal that depend on proximity operations…

Machine Learning · Computer Science 2021-01-15 Carson Schubert , Kevin Black , Daniel Fonseka , Abhimanyu Dhir , Jacob Deutsch , Nihal Dhamani , Gavin Martin , Maruthi Akella

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

Many astrophysical systems of interest to numerical relativity-such as rapidly rotating stars, black hole accretion disks, and core-collapse supernovae-exhibit near-symmetries. These systems generally consist of a strongly gravitating…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Terrence Pierre Jacques , Samuel Cupp , Leonardo R. Werneck , Samuel D. Tootle , Maria C. Babiuc Hamilton , Zachariah B. Etienne

GYOTO, a general relativistic ray-tracing code, is presented. It aims at computing images of astronomical bodies in the vicinity of compact objects, as well as trajectories of massive bodies in relativistic environments. This code is…

General Relativity and Quantum Cosmology · Physics 2012-03-15 Frederic H. Vincent , Thibaut Paumard , Eric Gourgoulhon , Guy Perrin