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We propose a computational approach to estimate the stability domain of quadratic-bilinear reduced-order models (ROMs), which are low-dimensional approximations of large-scale dynamical systems. For nonlinear ROMs, it is not only important…

最优化与控制 · 数学 2021-02-23 Boris Kramer

Numerous cutting-edge scientific technologies originate at the laboratory scale, but transitioning them to practical industry applications is a formidable challenge. Traditional pilot projects at intermediate scales are costly and…

计算工程、金融与科学 · 计算机科学 2024-01-22 Seung Whan Chung , Youngsoo Choi , Pratanu Roy , Thomas Moore , Thomas Roy , Tiras Y. Lin , Du Y. Nguyen , Christopher Hahn , Eric B. Duoss , Sarah E. Baker

Eccentric binaries are key targets for current and future gravitational wave (GW) detectors, offering unique insights into the formation and environments of compact binaries. However, accurately and efficiently modeling eccentric waveforms…

广义相对论与量子宇宙学 · 物理学 2025-10-09 Gonzalo Morras

Systems of two black holes with unbound orbits can produce a diverse array of gravitational wave signals with rich morphology. This parameter space encompasses both hyperbolic orbit scattering events and dynamical captures, including…

广义相对论与量子宇宙学 · 物理学 2025-07-03 Chad Henshaw , Jacob Lange , Peter Lott , Richard O'Shaughnessy , Laura Cadonati

Reduced Order Modeling is of paramount importance for efficiently inferring high-dimensional spatio-temporal fields in parametric contexts, enabling computationally tractable parametric analyses, uncertainty quantification and control.…

机器学习 · 计算机科学 2025-02-18 Matteo Tomasetto , Jan P. Williams , Francesco Braghin , Andrea Manzoni , J. Nathan Kutz

A nonintrusive model order reduction method for bilinear stochastic differential equations with additive noise is proposed. A reduced order model (ROM) is designed in order to approximate the statistical properties of high-dimensional…

数值分析 · 数学 2025-06-11 M. A. Freitag , J. M. Nicolaus , M. Redmann

Models of gravitational waveforms play a critical role in detecting and characterizing the gravitational waves (GWs) from compact binary coalescences. Waveforms from numerical relativity (NR), while highly accurate, are too computationally…

高能天体物理现象 · 物理学 2018-01-03 Zoheyr Doctor , Ben Farr , Daniel E. Holz , Michael Pürrer

Accurate inclusion of both spin precession and orbital eccentricity effects in gravitational waveform models represents a key hurdle in our ability to fully characterize the properties of compact binaries. Virtually all efforts to model…

广义相对论与量子宇宙学 · 物理学 2026-04-01 Lucy M. Thomas , Katerina Chatziioannou , Sam Johar , Taylor Knapp , Michael Boyle

Numerical simulations of merging black hole binaries produce the most accurate gravitational waveforms. The availability of hundreds of these numerical relativity (NR) waveforms, often containing many higher spherical harmonic modes, allows…

广义相对论与量子宇宙学 · 物理学 2016-11-24 Chad R. Galley , Patricia Schmidt

Reduced-order modeling (ROM) of time-dependent and parameterized differential equations aims to accelerate the simulation of complex high-dimensional systems by learning a compact latent manifold representation that captures the…

机器学习 · 计算机科学 2025-10-28 Nima Hosseini Dashtbayaz , Hesam Salehipour , Adrian Butscher , Nigel Morris

The real-time monitoring of the structural displacement of the Vacuum Vessel (VV) of thermonuclear fusion devices caused by electromagnetic (EM) loads is of great interest. In this paper, Model Order Reduction (MOR) is applied to the…

To speed-up the solution to parametrized differential problems, reduced order models (ROMs) have been developed over the years, including projection-based ROMs such as the reduced-basis (RB) method, deep learning-based ROMs, as well as…

数值分析 · 数学 2022-02-08 Ludovica Cicci , Stefania Fresca , Andrea Manzoni

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

天体物理仪器与方法 · 物理学 2025-07-31 Alexander Harvey Nitz

Scientific analysis for the gravitational-wave detector LISA will require theoretical waveforms from extreme-mass-ratio inspirals (EMRIs) that extensively cover all possible orbital and spin configurations around astrophysical Kerr black…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Soichiro Isoyama , Ryuichi Fujita , Alvin J. K. Chua , Hiroyuki Nakano , Adam Pound , Norichika Sago

Spatial filtering has been central in the development of large eddy simulation reduced order models (LES-ROMs) and regularized reduced order models (Reg-ROMs), In this paper, we perform a numerical investigation of spatial filtering. To…

数值分析 · 数学 2017-07-14 L. C. Berselli , D. Wells , X. Xie , T. Iliescu

In this paper, a type of novel projection-based, time-segmented reduced order model (ROM) is proposed for dynamic fluid-structure interaction (FSI) problems based upon the arbitrary Lagrangian--Eulerian (ALE)-finite element method (FEM) in…

计算工程、金融与科学 · 计算机科学 2024-02-16 Qijia Zhai , Shiquan Zhang , Pengtao Sun , Xiaoping Xie

We analyze the problem of parameter estimation for compact binary systems that could be detected by ground-based gravitational wave detectors. So far this problem has only been dealt with for the inspiral and the ringdown phases separately.…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Manuel Luna , Alicia M. Sintes

We present a new effective-one-body (EOB) model for eccentric binary coalescences. The model stems from the state-of-the-art model TEOBResumS$\_$SM for circularized coalescing black-hole binaries, that is modified to explicitly incorporate…

广义相对论与量子宇宙学 · 物理学 2020-10-29 Danilo Chiaramello , Alessandro Nagar

This paper proposes a data-driven algorithm for model order reduction (MOR) of large-scale wind farms and studies the effects that the obtained reduced-order model (ROM) has when this is integrated into the power grid. With respect to…

系统与控制 · 电气工程与系统科学 2024-12-16 Zilong Gong , Junyu Mao , Adrià Junyent-Ferré , Giordano Scarciotti

We consider the dictionary-based ROM-net (Reduced Order Model) framework [T. Daniel, F. Casenave, N. Akkari, D. Ryckelynck, Model order reduction assisted by deep neural networks (ROM-net), Advanced modeling and Simulation in Engineering…

机器学习 · 统计学 2023-02-02 Thomas Daniel , Fabien Casenave , Nissrine Akkari , David Ryckelynck , Christian Rey