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The use of model-based numerical simulation of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iteratively and this is computationally expensive. We present a…

Even with the most advanced computational capabilities, high-fidelity (e.g., large-eddy) simulations of large-scale rocket engines remain far out of reach. In the current work, we develop and establish a component-based reduced-order…

Fluid Dynamics · Physics 2026-04-20 Brody Gatza , Cheng Huang

Modern engineering structures exhibit nonlinear vibration behavior as designs are pushed to reduce weight and energy consumption. Of specific interest here, joints in assembled structures introduce friction, hysteresis, and unilateral…

Dynamical Systems · Mathematics 2025-03-18 Justin H. Porter , Matthew R. W. Brake

In this paper we construct the first phenomenological waveform model which contains the "complete" $\ell=2$ spherical harmonic mode content for gravitational wave signals emitted by the coalescence of binary black holes with spin…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Maria Rosselló-Sastre , Sascha Husa

Traditional linear subspace reduced order models (LS-ROMs) are able to accelerate physical simulations, in which the intrinsic solution space falls into a subspace with a small dimension, i.e., the solution space has a small Kolmogorov…

Numerical Analysis · Mathematics 2025-11-06 Youngkyu Kim , Youngsoo Choi , David Widemann , Tarek Zohdi

The current paradigm for constructing waveforms from precessing compact binaries is to first construct a waveform in a non-inertial, co-precessing binary source frame followed by a time-dependent rotation to map back to the physical,…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Antoni Ramos-Buades , Patricia Schmidt , Geraint Pratten , Sascha Husa

We recently presented an efficient and accurate waveform model for the $(2,0)$ spherical harmonic mode including both the displacement memory contribution and the ringdown oscillations for aligned-spin binary black holes in quasi-circular…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Maria Rosselló-Sastre , Sascha Husa , Sayantani Bera , Yumeng Xu

Accurate waveform templates of binary black holes (BBHs) with eccentric orbits are essential for the detection and precise parameter estimation of gravitational waves (GWs). While SEOBNRE produces accurate time-domain waveforms for…

General Relativity and Quantum Cosmology · Physics 2024-11-25 Ruijun Shi , Yue Zhou , Tianyu Zhao , Zhixiang Ren , Zhoujian Cao

The motivation of this work is an inverse problem for the acoustic wave equation, where an array of sensors probes an unknown medium with pulses and measures the scattered waves. The goal of the inversion is to determine from these…

Numerical Analysis · Mathematics 2018-06-18 Liliana Borcea , Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

We construct compact and high accuracy Reduced Basis (RB) representations of single and multiple quasinormal modes (QNMs). The RB method determines a hierarchical and relatively small set of the most relevant waveforms. We find that the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Sarah Caudill , Scott E. Field , Chad R. Galley , Frank Herrmann , Manuel Tiglio

As gravitational-wave (GW) observations of binary black holes are becoming a precision tool for physics and astronomy, several subdominant effects in the GW signals need to be accurately modeled. Previous studies have shown that neglecting…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Ajit Kumar Mehta , Praveer Tiwari , Nathan K. Johnson-McDaniel , Chandra Kant Mishra , Vijay Varma , Parameswaran Ajith

We present the first comparison of waveforms evaluated using the effective-one-body (EOB) approach and gravitational self-force (GSF) theory for inspiralling black hole binaries with a non-spinning primary and a spinning secondary. This…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Angelica Albertini , Alessandro Nagar , Josh Mathews , Georgios Lukes-Gerakopoulos

In this paper, we test the performance of templates in detection and characterization of Spin-orbit resonant (SOR) binaries. We use precessing SEOBNRv3 waveforms as well as {\it four} numerical relativity (NR) waveforms to model GWs from…

We update the analytical estimate of the final spin of a coalescing black-hole binary derived within the Effective-One-Body (EOB) approach. We consider unequal-mass non-spinning black-hole binaries. It is found that a more complete account…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thibault Damour , Alessandro Nagar

We present a reduced-order model (ROM) methodology for inverse scattering problems in which the reduced-order models are data-driven, i.e. they are constructed directly from data gathered by sensors. Moreover, the entries of the ROM contain…

Numerical Analysis · Mathematics 2023-06-16 Jörn Zimmerling , Vladimir Druskin , Murthy Guddati , Elena Cherkaev , Rob Remis

Model order reduction (MOR) involves offering low-dimensional models that effectively approximate the behavior of complex high-order systems. Due to potential model complexities and computational costs, designing controllers for…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Behrad Samari , Amy Nejati , Abolfazl Lavaei

We describe a general procedure to generate spinning, precessing waveforms that include inspiral, merger and ringdown stages in the effective-one-body (EOB) approach. The procedure uses a precessing frame in which precession-induced…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Yi Pan , Alessandra Buonanno , Andrea Taracchini , Lawrence E. Kidder , Abdul H. Mroue , Harald P. Pfeiffer , Mark A. Scheel , Bela Szilagyi

Gravitational waveforms capturing binary evolution through the early-inspiral phase play a critical role in extracting orbital features that nearly disappear during the late-inspiral and subsequent merger phase due to radiation reaction…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Pratul Manna , Tamal RoyChowdhury , Chandra Kant Mishra

We propose a space-time reduced-order model (ROM) for nonlinear dynamical systems, building upon previous work on linear systems. Whereas most ROMs are space-only in that they reduce only the spatial dimension of the state, the proposed…

Numerical Analysis · Mathematics 2025-11-03 Peter Frame , Aaron Towne

Hybrid beamforming (HB) has been widely studied for reducing the number of costly radio frequency (RF) chains in massive multiple-input multiple-output (MIMO) systems. However, previous works on HB are limited to a single user equipment…

Information Theory · Computer Science 2016-11-03 Dengkui Zhu , Boyu Li , Ping Liang