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To obtain the waveform template of gravitational waves (GWs), substantial computational resources and exceedingly high precision are often required. In the previous study [JCAP 11 (2023) 070], we efficiently and accurately calculate GW…

General Relativity and Quantum Cosmology · Physics 2024-07-25 Changkai Chen , Jiliang Jing

Gravitational waveforms and fluxes from extreme mass--ratio inspirals can be computed using time--domain methods with accuracy that is fast approaching that of frequency--domain methods. We study in detail the computational efficiency of…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Jonathan L. Barton , David J. Lazar , Daniel J. Kennefick , Gaurav Khanna , Lior M. Burko

We develop a numerical code to compute gravitational waves induced by a particle moving on eccentric inclined orbits around a Kerr black hole. For such systems, the black hole perturbation method is applicable. The gravitational waves can…

General Relativity and Quantum Cosmology · Physics 2009-08-05 Ryuichi Fujita , Wataru Hikida , Hideyuki Tagoshi

We present results from a new code for computing gravitational perturbations of the Kerr geometry. This new code carefully maintains high precision to allow us to obtain high-accuracy solutions for the gravitational quasinormal modes of the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Gregory B. Cook , Maxim Zalutskiy

We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a controlled series expansion that can in principle be extended…

High Energy Physics - Theory · Physics 2025-11-03 Giacomo Brunello , Vsevolod Chestnov , Giulio Crisanti , Mathieu Giroux , Sid Smith

One of the main targets for space-borne gravitational wave detectors is the detection of Extreme Mass Ratio Inspirals (EMRIs). The data analysis of EMRIs requires waveform models that are both accurate and fast. The major challenge for the…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Yan-bo Zeng , Jian-dong Zhang , Yi-Ming Hu , Jianwei Mei

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

The accuracy of time-domain solutions of the inhomogeneous Teukolsky equation is improved significantly. Comparing energy fluxes in gravitational waves with highly accurate frequency-domain results for circular equatorial orbits in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lior M. Burko , Gaurav Khanna

Accurate modeling of \gls{EMRIs} is essential for extracting reliable information from future space-based gravitational wave observatories. Fast waveform generation frameworks adopt an offline/online architecture, where expensive…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Hassan Khalvati , Philip Lynch , Ollie Burke , Lorenzo Speri , Maarten van de Meent , Zachary Nasipak

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We introduce a new factorized and resummed waveform for circularized, nonspinning, compact binaries that leverages on the solution of the Teukolsky equation once mapped into a confluent Heun equation. The structure of the solution allows…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Andrea Cipriani , Alessandro Nagar , Francesco Fucito , José Francisco Morales

A Continuous Galerkin method-based approach is presented to compute the seismic normal modes of rotating planets. Special care is taken to separate out the essential spectrum in the presence of a fluid outer core using a polynomial…

Computational Physics · Physics 2021-09-28 Jia Shi , Ruipeng Li , Yuanzhe Xi , Yousef Saad , Maarten V. de Hoop

The "flux-balance formulae" that determine the averaged evolution of energy, azimuthal angular momentum, and Carter constant in terms of the averaged asymptotic gravitational-wave fluxes for inspirals of small bodies into Kerr black holes…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Soichiro Isoyama , Ryuichi Fujita , Hiroyuki Nakano , Norichika Sago , Takahiro Tanaka

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

Gravitational waveform (GW) models are a core ingredient for the analysis of compact binary mergers observed by current ground-based interferometers. We focus here on a specific class of such models known as PhenomX, which has gained…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Marta Colleoni , Felip A. Ramis Vidal , Cecilio García-Quirós , Sarp Akçay , Sayantani Bera

We present a fast Bayesian inference framework to address the growing computational cost of gravitational-wave parameter estimation. The increased cost is driven by improved broadband detector sensitivity, particularly at low frequencies…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Abhishek Sharma , Lalit Pathak , Soumen Roy , Anand S. Sengupta

Adaptive mesh refinement efficiently facilitates the computation of gravitational waveforms in numerical relativity. However, determining precisely when, where, and to what extent to refine when solving the Einstein equations poses…

General Relativity and Quantum Cosmology · Physics 2025-07-24 William K. Black , David Neilsen , Eric W. Hirschmann , David F. Van Komen , Milinda Fernando

This work provides gravitational wave energy and angular momentum asymptotic fluxes from a spinning body moving on generic orbits in a Kerr spacetime up to linear in spin approximation. To achieve this, we have developed a new frequency…

General Relativity and Quantum Cosmology · Physics 2023-03-30 Viktor Skoupý , Georgios Lukes-Gerakopoulos , Lisa V. Drummond , Scott A. Hughes

This paper presents an algorithm to accelerate the evaluation of inspiral-merger-ringdown waveform models for gravitational wave data analysis. While the idea can also be applied in the time domain, here we focus on the frequency domain,…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Cecilio García-Quirós , Sascha Husa , Maite Mateu-Lucena , Angela Borchers

We consider efficient methods for computing solutions to and estimating uncertainties in dynamic inverse problems, where the parameters of interest may change during the measurement procedure. Compared to static inverse problems,…

Numerical Analysis · Mathematics 2018-02-14 Julianne Chung , Arvind K. Saibaba , Matthew Brown , Erik Westman
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