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We extend a new finite element code, Einstein PHG (iPHG), to solve the evolution part of Einstein equations in first-order GH formalism. This paper is the third one of a systematic investigation of applying adaptive finite element method to…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Li-Wei Ji , Rong-Gen Cai , Zhoujian Cao

Numerical simulations of Einstein's field equations provide unique insights into the physics of compact objects moving at relativistic speeds, and which are driven by strong gravitational interactions. Numerical relativity has played a key…

General Relativity and Quantum Cosmology · Physics 2018-07-09 Daniel Johnson , E. A. Huerta , Roland Haas

Quantum computers are becoming a reality and numerous quantum computing applications with a near-term perspective (e.g., for finance, chemistry, machine learning, and optimization) and with a long-term perspective (e.g., for cryptography or…

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…

Many scientific problems require multiple distinct computational tasks to be executed in order to achieve a desired solution. We introduce the Ensemble Toolkit (EnTK) to address the challenges of scale, diversity and reliability they pose.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-17 Vivek Balasubramanian , Matteo Turilli , Weiming Hu , Matthieu Lefebvre , Wenjie Lei , Guido Cervone , Jeroen Tromp , Shantenu Jha

Quantum computing is being increasingly adopted for solving classically intractable problems across various domains. However, the availability of accessible and scalable software frameworks remains essential for practical experimentation…

Quantum Physics · Physics 2025-08-19 Param Pathak , K Tarakeshwar , Syed Sufiyan Ali , Shalini Devendrababu , Adarsh Ganesan

Understanding astrophysical and cosmological processes can be challenging due to their complexity and lack of intuitive analogies. To address this, we present \texttt{AstronomyCalc}, a Python package specifically designed to aid…

Physics Education · Physics 2025-11-26 Sambit K. Giri

The Scikit-HEP project is a community-driven and community-oriented effort with the aim of providing Particle Physics at large with a Python scientific toolset containing core and common tools. The project builds on five pillars that…

Computational Physics · Physics 2019-10-02 Eduardo Rodrigues

This is the first of a series of papers describing a numerical implementation of the conformally rescaled Einstein equation, an implementation designed to calculate asymptotically flat spacetimes, especially spacetimes containing black…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Huebner

Combining deeper insight of Einstein's equations with sophisticated numerical techniques promises the ability to construct accurate numerical implementations of these equations. We illustrate this in two examples, the numerical evolution of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Dave Neilsen , Luis Lehner , Olivier Sarbach , Manuel Tiglio

The LEBS Toolkit provides a comprehensive framework for astronomers and natural scientists to address development challenges through their field. The toolkit aligns with the Sustainable Development Goals (SDGs) and offers practical actions…

Instrumentation and Methods for Astrophysics · Physics 2025-12-05 Joyful E. Mdhluli

Excision techniques are used in order to deal with black holes in numerical simulations of Einstein equations and consist in removing a topological sphere containing the physical singularity from the numerical domain, applying instead…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Isabel Cordero-Carrión , Nicolas Vasset , Jérôme Novak , José Luis Jaramillo

Einstein Telescope (ET) is the European project for a gravitational-wave (GW) observatory of third-generation. In this paper we present a comprehensive discussion of its science objectives, providing state-of-the-art predictions for the…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Adrian Abac , Raul Abramo , Simone Albanesi , Angelica Albertini , Alessandro Agapito , Michalis Agathos , Conrado Albertus , Nils Andersson , Tomas Andrade , Igor Andreoni , Federico Angeloni , Marco Antonelli , John Antoniadis , Fabio Antonini , Manuel Arca Sedda , M. Celeste Artale , Stefano Ascenzi , Pierre Auclair , Matteo Bachetti , Charles Badger , Biswajit Banerjee , David Barba-Gonzalez , Daniel Barta , Nicola Bartolo , Andreas Bauswein , Andrea Begnoni , Freija Beirnaert , Michal Bejger , Enis Belgacem , Nicola Bellomo , Laura Bernard , Maria Grazia Bernardini , Sebastiano Bernuzzi , Christopher P. L. Berry , Emanuele Berti , Gianfranco Bertone , Dario Bettoni , Miguel Bezares , Swetha Bhagwat , Sofia Bisero , Marie Anne Bizouard , Jose J. Blanco-Pillado , Simone Blasi , Alice Bonino , Alice Borghese , Ssohrab Borhanian , Elisa Bortolas , Maria Teresa Botticella , Marica Branchesi , Matteo Breschi , Richard Brito , Enzo Brocato , Floor S. Broekgaarden , Tomasz Bulik , Alessandra Buonanno , Fiorella Burgio , Adam Burrows , Gianluca Calcagni , Sofia Canevarolo , Enrico Cappellaro , Giulia Capurri , Carmelita Carbone , Roberto Casadio , Ramiro Cayuso , Pablo Cerda-Duran , Prasanta Char , Sylvain Chaty , Tommaso Chiarusi , Martyna Chruslinska , Francesco Cireddu , Philippa Cole , Alberto Colombo , Monica Colpi , Geoffrey Compere , Carlo Contaldi , Maxence Corman , Francesco Crescimbeni , Sergio Cristallo , Elena Cuoco , Giulia Cusin , Tito Dal Canton , Gergely Dalya , Paolo D'Avanzo , Nazanin Davari , Valerio De Luca , Viola De Renzis , Massimo Della Valle , Walter Del Pozzo , Federico De Santi , Alessio Ludovico De Santis , Tim Dietrich , Ema Dimastrogiovanni , Guillem Domenech , Daniela Doneva , Marco Drago , Ulyana Dupletsa , Hannah Duval , Irina Dvorkin , Nancy Elias-Rosa , Stephen Fairhurst , Anthea F. Fantina , Matteo Fasiello , Maxime Fays , Rob Fender , Tobias Fischer , Francois Foucart , Tassos Fragos , Stefano Foffa , Gabriele Franciolini , Jacopo Fumagalli , Jonathan Gair , Rossella Gamba , Juan Garcia-Bellido , Cecilio Garcia-Quiros , Laszlo Arpad Gergely , Giancarlo Ghirlanda , Archisman Ghosh , Bruno Giacomazzo , Fabian Gittins , Ines Francesca Giudice , Boris Goncharov , Alejandra Gonzalez , Stephane Goriely , Luca Graziani , Giuseppe Greco , Leonardo Gualtieri , Gianluca Maria Guidi , Ish Gupta , Maria Haney , Mark Hannam , Jan Harms , Arus Harutyunyan , Brynmor Haskell , Andreas Haungs , Nandini Hazra , Gary Hemming , Ik Siong Heng , Tanja Hinderer , Alexander van der Horst , Qian Hu , Sascha Husa , Francesco Iacovelli , Giulia Illuminati , Gianluca Inguglia , David Izquierdo Villalba , Justin Janquart , Kamiel Janssens , Alexander C. Jenkins , Ian Jones , Balazs Kacskovics , Ralf S. Klessen , Kostas Kokkotas , Hao-Jui Kuan , Sumit Kumar , Sachiko Kuroyanagi , Danny Laghi , Astrid Lamberts , Gaetano Lambiase , Francois Larrouturou , Paola Leaci , Michele Lenzi , Andrew Levan , T. G. F. Li , Yufeng Li , Dicong Liang , Marco Limongi , Boyuan Liu , Felipe J. Llanes-Estrada , Eleonora Loffredo , Oliver Long , Eva Lope-Oter , Georgios Lukes-Gerakopoulos , Elisa Maggio , Michele Maggiore , Michele Mancarella , Michela Mapelli , Pablo Marchant , Annarita Margiotta , Alberto Mariotti , Alisha Marriott-Best , Sylvain Marsat , Gabriel Martinez-Pinedo , Andrea Maselli , Simone Mastrogiovanni , Isabela Matos , Andrea Melandri , Raissa F. P. Mendes , Josiel Mendonca Soares de Souza , Giorgio Mentasti , Mar Mezcua , Philipp Mosta , Chiranjib Mondal , Michele Moresco , Tista Mukherjee , Niccolo Muttoni , Alessandro Nagar , Harsh Narola , Lara Nava , Pablo Navarro Moreno , Gijs Nelemans , Alex B. Nielsen , Samaya Nissanke , Martin Obergaulinger , Micaela Oertel , Gor Oganesyan , Francesca Onori , Costantino Pacilio , Giulia Pagliaroli , Cristiano Palomba , Peter T. H. Pang , Paolo Pani , Lucia Papalini , Barbara Patricelli , Alessandro Patruno , Alessandro Pedrotti , Albino Perego , Maria Angeles Perez-Garcia , Carole Perigois , Gabriele Perna , Celine Peroux , J. Perret , Delphine Perrodin , Alessandro Pesci , Harald P. Pfeiffer , Ornella Juliana Piccinni , Mauro Pieroni , Silvia Piranomonte , Lorenzo Pompili , E. K. Porter , Rafael A. Porto , Adam Pound , Jade Powell , Mathieu Puech , Geraint Pratten , Anna Puecher , Oriol Pujolas , Miguel Quartin , Adriana R. Raduta , Antoni Ramos-Buades , Aaron Rase , Massimiliano Razzano , Nanda Rea , Tania Regimbau , Arianna Renzini , Piero Rettegno , Angelo Ricciardone , Antonio Riotto , Alba Romero-Rodriguez , Samuele Ronchini , Dorota Rosinska , Andrea Rossi , Soumen Roy , Diego Rubiera-Garcia , J. Rubio , Pilar Ruiz-Lapuente , Violetta Sagun , Mairi Sakellariadou , Om Sharan Salafia , Anuradha Samajdar , Nicolas Sanchis-Gual , Andrea Sanna , Filippo Santoliquido , Bangalore Sathyaprakash , Patricia Schmidt , Stefano Schmidt , Fabian R. N. Schneider , Raffaella Schneider , Armen Sedrakian , Geraldine Servant , Alexander Sevrin , Lijing Shao , Hector O. Silva , Peera Simakachorn , Stephen Smartt , Thomas P. Sotiriou , Mario Spera , Antonio Stamerra , Daniele A. Steer , Jan Steinhoff , Nikolaos Stergioulas , Riccardo Sturani , Duvier Suarez , Jishnu Suresh , Shaun Swain , Matteo Tagliazucchi , Nicola Tamanini , Gianmassimo Tasinato , Thomas M. Tauris , Jacopo Tissino , Giovanni Maria Tomaselli , Silvia Toonen , Alejandro Torres-Forne , Cezary Turski , Cristiano Ugolini , Elias C. Vagenas , Lorenzo Valbusa Dall'Armi , Elena Valenti , Rosa Valiante , Chris Van Den Broeck , Maarten van de Meent , Lieke A. C. van Son , Miguel Vanvlasselaer , Massimo Vaglio , Vijay Varma , John Veitch , Ville Vaskonen , Susanna D. Vergani , Milan Wils , Helvi Witek , Isaac C. F. Wong , Stoytcho Yazadjiev , Garvin Yim , Fausto Acernese , Hojae Ahn , Annalisa Allocca , Alex Amato , Marc Andres-Carcasona , Guerino Avallone , Markus Bachlechner , Patrick Baer , Stefano Bagnasco , Gabriele Balbi , Fabrizio Barone , Eugenio Benedetti , Charlotte Benning , Simone Bini , Jose Luis Blazquez Salcedo , Valerio Bozza , Matteo Bruno , Timo Butz , Matteo Califano , Enrico Calloni , Giovanni Carapella , Alessandro Cardini , Shreevathsa Chalathadka Subrahmanya , Francesco Chiadini , Antonino Chiummo , Spina Cianetti , Giacomo Ciani , Eugenio Coccia , Andrea Contu , Robin Cornelissen , Andrea Cozzumbo , Lewis Croney , Mariateresa Crosta , Rocco D'Agostino , Stefan Danilishin , Sabrina D'Antonio , Jorden De Bolle , Jerome Degallaix , Mariafelicia De Laurentis , Riccardo della Monica , Francesco De Marco , Ivan de Martino , Rosario De Rosa , Riccardo De Salvo , Roberta De Simone , Christophe Detavernier , Giovanni Diaferia , Martina Di Cesare , Luciano Di Fiore , Matteo Di Giovanni , Sibilla Di Pace , Jennifer Docherty , Domenico D'Urso , Oussama El Mecherfi , Luciano Errico , Federica Fabrizi , Viviana Fafone , Viviana Fanti , Rosalba Fittipaldi , Vincenzo Fiumara , Andreas Freise , Stefan Funk , Mika Gaedtke , Fabio Garufi , Oliver Gerberding , Edoardo Giangrandi , Carlo Giunchi , Victoria Graham , Massimo Granata , Veronica Granata , Anna Green , Karen Haughian , Lavinia Heisenberg , Margot Hennig , Stefan Hild , Van Long Hoang , Nathan Holland , Gerardo Iannone , Katharina-Sophie Isleif , Robert Joppe , Chang-Hee Kim , Chunglee Kim , Kyungmin Kim , Erika Korb , Mikhail Korobko , Luise Kranzhoff , Tim Kuhlbusch , Gregoire Lacaille , Angelique Lartaux-Vollard , Lia Lavezzi , Paul Laycock , Sumi Lee , Sumin Lee , Sungho Lee , Giovanni Losurdo , Leonardo Lucchesi , Harald Luck , Adrian Macquet , Ettore Majorana , Valentina Mangano , Filippo Martelli , Iain Martin , Mario Martinez , Alberto Masoni , Luca Massaro , Daniele Melini , Amata Mercurio , Lorenzo Mereni , Andrew L. Miller , Lorenzo Mirasola , Alexandra Mitchell , Irene Molinari , Matteo Montani , Conor Mow-Lowry , Riccardo Murgia , Peter Gordon Murray , Giuseppe Muscas , Luca Naticchioni , Ardiana Nela , Marina Nery , Tom Niggemann , Niklas Nippe , Jerome Novak , Armin Numic , Marco Olivieri , Marco Orsini , June Gyu Park , Daniela Pascucci , Antonio Perreca , Francesco Piergiovanni , Vincenzo Pierro , Laurent Pinard , Innocenzo Pinto , Michele Punturo , Paola Puppo , Francesco Quochi , Reinhardt Omondi Rading , Piero Rapagnani , Marco Ricci , Davi Rodrigues , Rocco Romano , Davide Rozza , Pooya Saffarieh , Federica Santucci , Steven Schramm , Benjamin Schwab , Valeria Sequino , Liam Shelling Neto , Laura Silenzi , Alicia M. Sintes , Carlos F. Sopuerta , Andrew Spencer , Achim Stahl , Jessica Steinlechner , Sebastian Steinlechner , Robert Szabo , Thomas Thummler , Emanuele Tofani , Stefano Torniamenti , Riccardo Travaglini , Lucia Trozzo , M. Paola Vaccaro , Michele Valentini , Peter Van , Jesse van Dongen , Joris van Heijningen , Zeb van Ranst , Marco Vardaro , Patrice Verdier , Daniele Vernieri , Nico Wagner , Janis Woehler , Joachim Wolf , Guido Zavattini , Adrian Zink , Andreas Zmija

The ultimate application of Einstein's field equations is to empirically determine the geometry of the Universe from its matter content, rather than simply assuming the Universe can be represented by a homogeneous model on all scales.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. L. McClure , Charles Hellaby

This paper gives a detailed pedagogic presentation of the central concepts underlying a new algorithm for the numerical solution of Einstein's equations for gravitation. This approach incorporates the best features of the two leading…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Bishop , R. Isaacson , R. Gomez , L. Lehner , B. Szilagyi , J. Winicour

Solving Einstein's equations precisely for strong-field gravitational systems is essential to determining the full physics content of gravitational wave detections. Without these solutions it is not possible to infer precise values for…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Robert A. Eisenstein

Relativistic numerical cosmology is most often based either on the exact solutions of the Einstein equations, or perturbation theory, or weak-field limit, or the BSSN formalism. The Silent Universe provides an alternative approach to…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-08 Krzysztof Bolejko

We investigate a simple variation of the Generalized Harmonic method for evolving the Einstein equations. A flat space wave equation for metric perturbations is separated from the Ricci tensor, with the rest of the Ricci tensor becoming a…

General Relativity and Quantum Cosmology · Physics 2009-02-06 Travis Garrett

The search for solutions of Einstein's equations representing relativistic cosmological models with a discrete matter content has been remarkably fruitful in the last decade. In this review we discuss the progress made in the study of a…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Eloisa Bentivegna , Timothy Clifton , Jessie Durk , Mikołaj Korzyński , Kjell Rosquist

The rapid growth of imaging and spectroscopic surveys has intensified the need for efficient tools that support visual inspection, a practice that remains essential for tasks such as classification, catalog refinement, and validation of…