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Numerical relativity simulations provide a means by which to study the evolution and end point of strong over-densities in cosmological spacetimes. Specific applications include studies of primordial black hole formation and the robustness…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Thomas W. Baumgarte , Katy Clough , John T. Giblin

Resolution enhancements are often desired in imaging applications where high-resolution sensor arrays are difficult to obtain. Many computational imaging methods have been proposed to encode high-resolution scene information on…

Image and Video Processing · Electrical Eng. & Systems 2018-10-29 Kevin Beale , Jianbo Chen , Kevin F. Kelly , Justin Romberg

In this work we have used for the first time pseudo-spectral methods to perform numerical simulations of spherically symmetric black hole formations on a Friedman-Robertson-Walker universe. With these methods, the differential equations…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Albert Escrivà

Though semantic segmentation has been heavily explored in vision literature, unique challenges remain in the remote sensing domain. One such challenge is how to handle resolution mismatch between overhead imagery and ground-truth label…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Scott Workman , Armin Hadzic , M. Usman Rafique

The sheer range of scales in the Universe makes it impossible to model all at once. It is necessary, therefore, when conducting numerical experiments, that we employ sub-resolution prescriptions that can represent the scales we are unable…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-26 Alexander Hobbs

Black holes represent extreme conditions of physical laws. Being predicted about a century ago, they are now accepted as astrophysical reality by most of the scientific community. Only recently more direct evidence of their existence has…

High Energy Astrophysical Phenomena · Physics 2019-07-31 Christian Fendt

Hallucinating high frequency image details in single image super-resolution is a challenging task. Traditional super-resolution methods tend to produce oversmoothed output images due to the ambiguity in mapping between low and high…

Computer Vision and Pattern Recognition · Computer Science 2017-01-27 Libin Sun , James Hays

We present a machine-learning model for generating super-resolution $N$-body simulations with non-vanishing spatial curvature, conditioned on a given low-resolution field, $\Omega_k$, $\Omega_\mathrm{m}$, $\sigma_8$, $h$, and redshift. By…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Dennis Fremstad , Julian Adamek , David F. Mota

Understanding of the structure evolution in the Universe has been greatly advanced with a rapid progress in high-resolution cosmological simulations. In this contribution, we report a new set of cosmological simulations with $512^3$ ($\sim…

Astrophysics · Physics 2007-05-23 Y. P. Jing , Yasushi Suto

In this paper we report on recent upgrades to our general relativistic radiation magnetohydrodynamics code, Cosmos++, including the development of a new primitive inversion scheme and a hybrid implicit-explicit solver with a more general…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 P. Chris Fragile , Ally Olejar , Peter Anninos

High-resolution (HR) simulations in cosmology, in particular when including baryons, can take millions of CPU hours. On the other hand, low-resolution (LR) dark matter simulations of the same cosmological volume use minimal computing…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-30 Adam Rouhiainen , Michael Gira , Moritz Münchmeyer , Kangwook Lee , Gary Shiu

Several improvements in numerical methods and gauge choice are presented that make it possible now to perform simulations of the merger and ringdown phases of "generic" binary black-hole evolutions using the pseudo-spectral evolution code…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Béla Szilágyi , Lee Lindblom , Mark A. Scheel

This work presents a new super-resolution imaging approach by using subwavelength hole resonances. We employ a subwavelength structure in which an array of tiny holes are etched in a metallic slab with the neighboring distance $\ell$ that…

Optics · Physics 2020-10-07 Junshan Lin , Hai Zhang

Hyperspectral (HS) images contain detailed spectral information that has proven crucial in applications like remote sensing, surveillance, and astronomy. However, because of hardware limitations of HS cameras, the captured images have low…

Image and Video Processing · Electrical Eng. & Systems 2021-06-15 Marija Vella , Bowen Zhang , Wei Chen , João F. C. Mota

Super-resolution is a fundamental task in imaging, where the goal is to extract fine-grained structure from coarse-grained measurements. Here we are interested in a popular mathematical abstraction of this problem that has been widely…

Information Theory · Computer Science 2015-04-30 Ankur Moitra

We use rigorous techniques from numerical analysis of hyperbolic equations in bounded domains to construct stable finite-difference schemes for Numerical Relativity, in particular for their use in black hole excision. As an application, we…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gioel Calabrese , Luis Lehner , David Neilsen , Jorge Pullin , Oscar Reula , Olivier Sarbach , Manuel Tiglio

AI super-resolution, combining deep learning and N-body simulations has been shown to successfully reproduce the large scale structure and halo abundances in the Lambda Cold Dark Matter cosmological model. Here, we extend its use to models…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Meris Sipp , Patrick LaChance , Rupert Croft , Yueying Ni , Tiziana Di Matteo

We analyze the excision strategy for simulating black holes. The problem is modeled by the propagation of quasi-linear waves in a 1-dimensional spatial region with timelike outer boundary, spacelike inner boundary and a horizon in between.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Szilagyi , H-O. Kreiss , J. Winicour

Super-resolution (SR) is a promising tool for generating high-fidelity simulations of physical systems from low-resolution data, enabling fast and accurate predictions in engineering applications. However, existing deep-learning based SR…

Machine Learning · Computer Science 2025-02-17 Pengyu Zhang , Connor Duffin , Alex Glyn-Davies , Arnaud Vadeboncoeur , Mark Girolami

In this work we explore a numerical technique, based on the spherical harmonic decomposition and the discretization of the radial coordinate through \v{C}eby\v{s}\"ev polynomial interpolation, for the computation of quasi-bound states of…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Giuseppe Lingetti
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