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Continuous-wave (CW) gravitational waves (GWs) call for computationally-intensive methods. Low signal-to-noise ratio signals need templated searches with long coherent integration times and thus fine parameter-space resolution. Longer…

Instrumentation and Methods for Astrophysics · Physics 2018-02-21 Grant David Meadors , Badri Krishnan , Maria Alessandra Papa , John T. Whelan , Yuanhao Zhang

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

A partially first-order form of the characteristic formulation is introduced to control the accuracy in the computation of gravitational waveforms produced by highly distorted single black hole spacetimes. Our approach is to reduce the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Gomez

With the discovery of the binary black hole coalescence GW150914, the era of gravitational-wave astrophysics has started. Gravitational-wave signals emitted by compact binary coalescences will be detected in large number by LIGO and Virgo…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Salvatore Vitale , Ryan Lynch , Riccardo Sturani , Philip Graff

It is now possible to theoretically calculate the gravitational-wave signal from the inspiral, merger and ringdown of a black-hole-binary system. The late inspiral, merger and ringdown can be calculated in full general relativity using…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Mark Hannam

Waveform inversion is concerned with estimating a heterogeneous medium, modeled by variable coefficients of wave equations, using sources that emit probing signals and receivers that record the generated waves. It is an old and intensively…

Numerical Analysis · Mathematics 2024-10-29 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

Since the initial discovery of gravitational-waves from merging black holes, the LIGO Scientific Collaboration together with Virgo and KAGRA have published 90 gravitational-wave observations of compact binary mergers in the…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Vera Del Favero

The construction of a model of the gravitational-wave (GW) signal from generic configurations of spinning-black-hole binaries, through inspiral, merger and ringdown, is one of the most pressing theoretical problems in the build-up to the…

General Relativity and Quantum Cosmology · Physics 2014-10-15 Mark Hannam , Patricia Schmidt , Alejandro Bohé , Leila Haegel , Sascha Husa , Frank Ohme , Geraint Pratten , Michael Pürrer

Bayesian parameter estimation is fast becoming the language of gravitational-wave astronomy. It is the method by which gravitational-wave data is used to infer the sources' astrophysical properties. We introduce a user-friendly Bayesian…

Gravitational waves induced by primordial perturbations serve as crucial probes for studying the early universe, providing a significant window into potential new physics during cosmic evolution. Due to the potentially large amplitudes of…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Jing-Zhi Zhou , Yu-Ting Kuang , Di Wu , H. Lü , Zhe Chang

Cardio-mechanical models can be used to support clinical decision-making. Unfortunately, the substantial computational effort involved in many cardiac models hinders their application in the clinic, despite the fact that they may provide…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Robin Willems , Peter Förster , Sebastian Schöps , Olaf van der Sluis , Clemens V. Verhoosel

Gravitational wave astronomy has become a reality after the historical detections accomplished during the first observing run of the two advanced LIGO detectors. In the following years, the number of detections is expected to increase…

Instrumentation and Methods for Astrophysics · Physics 2017-02-01 Alejandro Torres-Forné , Antonio Marquina , José A. Font , José M. Ibáñez

Weakly-modelled searches for gravitational waves are essential for ensuring that all potential sources are accounted for in detection efforts, as they make minimal assumptions regarding source morphology. While these searches primarily…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Leigh Smith , Matteo Scialpi , Francesco di Clemente , Michał Bejger

The Advanced LIGO and Advanced Virgo gravitational wave (GW) detectors will begin operation in the coming years, with compact binary coalescence events a likely source for the first detections. The gravitational waveforms emitted directly…

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

Traditionally resonant interactions among short waves, with large real wave-numbers, were described statistically and only a small domain in spectral space with integer wave-numbers, discrete resonances, had to be studied separately in…

Mathematical Physics · Physics 2007-05-23 Elena Kartashova

The promise of multi-messenger astronomy relies on the rapid detection of gravitational waves at very low latencies ($\mathcal{O}$(1\,s)) in order to maximize the amount of time available for follow-up observations. In recent years,…

The sensitivity of gravitational wave searches for binary black holes is estimated via the injection and posterior recovery of simulated gravitational wave signals in the detector data streams. When a search reports no detections, the…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Juan Calderón Bustillo , Francesco Salemi , Tito dal Canton , Karan Jani

We construct an efficient frequency domain waveform for generic circular compact object binaries that include neutron stars. The orbital precession is solved on the radiation reaction timescale (and then transformed to the frequency…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Michael LaHaye , Huan Yang , Béatrice Bonga , Zhenwei Lyu

The gravitational waves emitted by binary neutron star inspirals contain information on nuclear matter above saturation density. However, extracting this information and conducting parameter estimation remains a computationally challenging…

Instrumentation and Methods for Astrophysics · Physics 2025-11-11 Thibeau Wouters , Peter T. H. Pang , Tim Dietrich , Chris Van Den Broeck