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Related papers: SENR/NRPy+: Numerical Relativity in Singular Curvi…

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We have recently presented a new approach for numerical relativity simulations in spherical polar coordinates, both for vacuum and for relativistic hydrodynamics. Our approach is based on a reference-metric formulation of the BSSN…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Thomas W. Baumgarte , Pedro J. Montero , Ewald Müller

We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

We present the numerical code PRECESSION: a new open-source python module to study the dynamics of precessing black-hole binaries in the post-Newtonian regime. The code provides a comprehensive toolbox to (i) study the evolution of the…

High Energy Astrophysical Phenomena · Physics 2017-12-19 Davide Gerosa , Michael Kesden

In this book chapter we describe the {\em Lagrangian} numerical relativity code \sphi. This code evolves spacetimes in full General Relativity by integrating the BSSN equations on structured meshes with a simple dynamical mesh refinement…

General Relativity and Quantum Cosmology · Physics 2024-05-22 S. Rosswog , P. Diener

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

As a pivotal task that bridges remote visual and linguistic understanding, Remote Sensing Image-Text Retrieval (RSITR) has attracted considerable research interest in recent years. However, almost all RSITR methods implicitly assume that…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Qiya Song , Yiqiang Xie , Yuan Sun , Renwei Dian , Xudong Kang

We present techniques for successfully performing numerical relativity simulations of binary black holes with fourth-order accuracy. Our simulations are based on a new coding framework which currently supports higher order finite…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Y. Zlochower , J. G. Baker , M. Campanelli , C. O. Lousto

We present SphericalNR, a new framework for the publicly available Einstein Toolkit that numerically solves the Einstein field equations coupled to the equations of general relativistic magnetohydrodynamics (GRMHD) in a 3+1 split of…

In this project, we simulate the collision of two and three black holes using NRPy+ (`Python-based code generation for numerical relativity and beyond') module and BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation, and extract the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Faisal Alotaibi

The radiation observed in quasars and active galactic nuclei is mainly produced by a relativistic plasma orbiting close to the black hole event horizon, where strong gravitational effects are relevant. The observational data of such systems…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Velásquez-Cadavid J. M. , Arrieta-Villamizar J. A. , F. D. Lora-Clavijo , O. M. Pimentel , Osorio-Vargas J. E

Numerical relativity has traditionally been pursued via finite differencing. Here we explore pseudospectral collocation (PSC) as an alternative to finite differencing, focusing particularly on the solution of the Hamiltonian constraint (an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lawrence E. Kidder , Lee Samuel Finn

Implicit Neural Representations (INRs) are increasingly recognized as a versatile data modality for representing discretized signals, offering benefits such as infinite query resolution and reduced storage requirements. Existing signal…

Machine Learning · Computer Science 2025-03-26 Dhananjaya Jayasundara , Sudarshan Rajagopalan , Yasiru Ranasinghe , Trac D. Tran , Vishal M. Patel

The self-consistent nonlinear dynamics of a relativistic charged particle beam interacting with its complete self-fields is a fundamental problem underpinning many of the accelerator design issues in high brightness beam applications, as…

Accelerator Physics · Physics 2022-06-01 C. -K. Huang , F. -Y. Li , H. N. Rakotoarivelo , B. Shen , J. Domine , B. Carlsten , G. Dilts , R. Garimella , T. Kwan , R. Robey

Numerical relativity is finally coming of age with the development of massively parallel computers. 3D problems, which were completely intractable several years ago due to limited computer power, can now be performed with grid sizes of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Anninos , Karen Camarda , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias , John Towns

Despite the prevalence of symmetry in scientific linear systems, these structural properties are often underutilized by standard computational software. This paper introduces PySymmetry, an open-source Sage/Python framework that implements…

Group Theory · Mathematics 2025-09-25 Leon D. da Silva , Marcelo P. Santos

We use the open source, community-driven, numerical relativity software, the Einstein Toolkit to study the physics of eccentric, spinning, nonprecessing binary black hole mergers with mass-ratios $q=\{2, 4, 6\}$, individual dimensionless…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Abhishek V. Joshi , Shawn G. Rosofsky , Roland Haas , E. A. Huerta

A new algorithm, denoted by RSRR, is presented for solving large-scale nonlinear eigenvalue problems (NEPs) with a focus on improving the robustness and reliability of the solution, which is a challenging task in computational science and…

Numerical Analysis · Mathematics 2016-07-27 Jinyou Xiao , Shuangshuang Meng , Chuanzeng Zhang , Changjun Zheng

TeNPy (short for 'Tensor Network Python') is a python library for the simulation of strongly correlated quantum systems with tensor networks. The philosophy of this library is to achieve a balance of readability and usability for…

We present an efficient numerical code based on spectral methods to integrate the field equations of general Robinson-Trautmann spacetimes. The most natural basis functions for the spectral expansion of the metric functions are spherical…

General Relativity and Quantum Cosmology · Physics 2011-11-10 H. P. de Oliveira , E. L. Rodrigues , J. E. F. Skea

We present OpenSR-SRGAN, an open and modular framework for single-image super-resolution in Earth Observation. The software provides a unified implementation of SRGAN-style models that is easy to configure, extend, and apply to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Simon Donike , Cesar Aybar , Julio Contreras , Luis Gómez-Chova