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Multiscale problems are computationally costly to solve by direct simulation because the smallest scales must be represented over a domain determined by the largest scales of the problem. We have developed and analyzed new numerical methods…

Numerical Analysis · Mathematics 2011-11-11 Björn Engquist , Henrik Holst , Olof Runborg

The dispersion in the speed of gravitational waves is a novel way to test the general theory of relativity and understand whether the origin of cosmic acceleration is due to any alternative theory of gravity. Several alternative theories of…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Adith Praveen , Panchajanya Dey , Suvodip Mukherjee

All-sky surveys for isolated continuous gravitational waves present a significant data-analysis challenge. Semicoherent search methods are commonly used to efficiently perform the computationally-intensive task of searching for these weak…

Instrumentation and Methods for Astrophysics · Physics 2018-07-04 K. Wette , S. Walsh , R. Prix , M. A. Papa

Time series analysis from gravitational-wave detectors often relies on the assumption that time chunks, or frequency bins, are uncorrelated. We discuss the validity of this approximation in the context of searches for stochastic…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Quentin Baghi , Nikolaos Karnesis , Jean-Baptiste Bayle

We show a new method for analyzing the time evolution of the Schrodinger wave function phi(x,t). We propose the decomposition of the Hamiltonian as: H(t)=Hp(t)+Hc(t), where Hp(t)is the operator which does not change the state and therefore…

Quantum Physics · Physics 2014-08-08 Chyi-Lung Lin , Tsin-Fu Jiang

We show a new method for analyzing the time evolution of the Schrodinger wave function Psi(x,t). We propose the decomposition of the Hamiltonian as: H(t)=Hp(t)+Hc(t), where Hp(t) is the Hamiltonian such that Psi(x,t) is its instantaneous…

Quantum Physics · Physics 2014-07-15 Chyi-Lung Lin

The direct detection of gravitational waves by the LIGO-Virgo collaboration has opened a new window with which to measure cosmological parameters such as the Hubble constant $H_0$, and also probe general relativity on large scales. In this…

General Relativity and Quantum Cosmology · Physics 2020-08-14 S. Mastrogiovanni , D. Steer , M. Barsuglia

Gravitational wave astronomy is rapidly advancing with the development of new observatories, leading to an increasing volume and complexity of data. This trend places growing pressure on classical data analysis methods and motivates the…

Instrumentation and Methods for Astrophysics · Physics 2026-03-19 Fangzhou Guo , Jibo He

This article aims at clarifying the situation about astrophysical sources that might be observed with haloscope experiments sensitive to gravitational waves in the 1-10 GHz band. The GrAHal setup is taken as a benchmark. We follow a very…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Aurélien Barrau , Juan García-Bellido , Thierry Grenet , Killian Martineau

When a numerical simulation has to handle a physics problem with a wide range of time-dependent length scales, dynamically adaptive discretizations can be the method of choice. We present a major upgrade to the numerical relativity code…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Sarah Renkhoff , Daniela Cors , David Hilditch , Bernd Brügmann

We investigate how multi-band gravitational wave (GW) observations can constrain the uncertainties in the Hubble parameter ($H_0$) using primordial black holes (PBHs) as possible sources. Our framework combines scalar-induced and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-27 Setabuddin , Md Riajul Haque , Ratna Koley , Supratik Pal

In this paper, we are concerned with the 2D damped wave-type magnetohydrodynamic system (abbreviated as MHD-wave system). The purpose of this paper is to study the large time behavior of solutions to the MHD-wave system, espesically to…

Analysis of PDEs · Mathematics 2024-11-05 Yaowei Xie , Huan Yu

In this second paper, we develop transferable semi-empirical parameters for the technologically important material, silicon, using Extended Huckel Theory (EHT) to calculate its electronic structure. The EHT-parameters areoptimized to…

Materials Science · Physics 2009-11-11 Diego Kienle , Jorge I. Cerda , Kirk H. Bevan , Gengchiau Liang , Lutfe Siddiqui , Avik W. Ghosh

In this work, we propose a hyperparameter optimization method named \emph{HyperTime} to find hyperparameters robust to potential temporal distribution shifts in the unseen test data. Our work is motivated by an important observation that it…

Machine Learning · Computer Science 2023-05-31 Shaokun Zhang , Yiran Wu , Zhonghua Zheng , Qingyun Wu , Chi Wang

Continuous gravitational waves signals, emitted by asymmetric spinning neutron stars, are among the main targets of current detectors like Advanced LIGO and Virgo. In the case of sources, like pulsars, which rotational parameters are…

General Relativity and Quantum Cosmology · Physics 2017-06-28 S. Mastrogiovanni , P. Astone , S. D'Antonio , S. Frasca , G. Intini , P. Leaci , A. Miller , C. Palomba , O. J. Piccinni , A. Singhal

We study the graviton-photon conversion in the magnetic fields of the Earth, the Milky Way Galaxy, and intergalactic regions. Requiring that the photon flux converted from gravitons does not exceed the observed photon flux with telescopes,…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Asuka Ito , Kazunori Kohri , Kazunori Nakayama

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Qian Hu , John Veitch

The first direct measurement of gravitational waves by the LIGO and Virgo collaborations has opened up new avenues to explore our Universe. This white paper outlines the challenges and gains expected in gravitational wave searches at…

A single incompressible, inviscid, irrotational fluid medium bounded above by a free surface is considered. The Hamiltonian of the system is expressed in terms of the so-called Dirichlet-Neumann operators. The equations for the surface…

Exactly Solvable and Integrable Systems · Physics 2024-09-06 Rossen I. Ivanov

Gravitational wave observations offer unique opportunities to probe gravity in the strong and dynamical regime, which was difficult to access previously. We here review two theory-agnostic ways to carry out tests of general relativity with…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Zack Carson , Kent Yagi