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This article aims to demonstrate and discuss the applications of automatic differentiation (AD) for finding derivatives in PDE-constrained optimization problems and Jacobians in non-linear finite element analysis. The main idea is to…

Numerical Analysis · Mathematics 2025-06-03 Julian Andrej , Tzanio Kolev , Boyan Lazarov

We present {\tt radpol} - a numerical scheme for integrating multifrequency polarized radiative transfer equations along rays propagating in a curved spacetime. The scheme includes radiative processes such as synchrotron emission,…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Monika Moscibrodzka

We introduce Tadpole, a novel foundation model for three-dimensional partial differential equations (PDEs) that addresses key challenges in transferability, scalability to high dimensionality, and multi-functionality. Tadpole is pre-trained…

Machine Learning · Computer Science 2026-05-18 Qiang Liu , Felix Koehler , Benjamin Holzschuh , Nils Thuerey

Radiative multipole moments of scalar, electromagnetic, and linearized gravitational fields in Schwarzschild spacetime are computed to third order in v in a weak-field, slow-motion approximation, where v is a characteristic velocity…

General Relativity and Quantum Cosmology · Physics 2011-04-21 Stephen W. Leonard , Eric Poisson

A serious concern for semi-analytical galaxy formation models, aiming to simulate multi-wavelength surveys and to thoroughly explore the model parameter space, is the extremely time consuming numerical solution of the radiative transfer of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Laura Silva , Fabio Fontanot , Gian Luigi Granato

Black-hole spectroscopy, that is, measuring the characteristic frequencies and damping times of different modes in a black-hole ringdown, is a powerful probe for testing deviations from the general theory of relativity (GR). In this work,…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Costantino Pacilio , Swetha Bhagwat

Radiative transfer is essential in astronomy, both for interpreting observations and simulating various astrophysical phenomena. However, self-consistent line radiative transfer is computationally expensive, especially in 3D. To reduce the…

Instrumentation and Methods for Astrophysics · Physics 2025-05-14 Thomas Ceulemans , Frederik De Ceuster , Leen Decin

This paper presents OCTOPUS, a relativistic ray-tracing algorithm developed within a Fortran-based, OpenMP-accelerated framework, designed for asymptotically flat, spherically symmetric curved spacetimes. The code efficiently and accurately…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Shiyang Hu , Shijie Tan , Dan Li , Lina Zhang , Chen Deng , Wenfu Cao

Change detection (CD) is a critical task in studying the dynamics of ecosystems and human activities using multi-temporal remote sensing images. While deep learning has shown promising results in CD tasks, it requires a large number of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Hongruixuan Chen , Jian Song , Chen Wu , Bo Du , Naoto Yokoya

We present numerical simulations of orbiting black holes for around twelve cycles, using a high-order multipatch approach. Unlike some other approaches, the computational speed scales almost perfectly for thousands of processors. Multipatch…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Enrique Pazos , Manuel Tiglio , Matthew D. Duez , Lawrence E. Kidder , Saul A. Teukolsky

After the final stage of the merger of two black holes, the ringdown signal takes an important role on providing information about the gravitational dynamics in strong field. We introduce a novel time-domain (TD) approach, predicated on the…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Hai-Tian Wang , Garvin Yim , Xian Chen , Lijing Shao

We examine radiation and its effects on accretion disks orbiting astrophysical black holes. These disks are thermally radiating and can be geometrically and optically thin or thick. In this first paper of the series, we discuss the physics…

Instrumentation and Methods for Astrophysics · Physics 2022-12-06 Leela Elpida Koutsantoniou

The images of supermassive black holes surrounded by optically-thin, radiatively-inefficient accretion flows, like those observed with the Event Horizon Telescope, are characterized by a bright ring of emission surrounding the black-hole…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Ziri Younsi , Dimitrios Psaltis , Feryal Özel

We consider a variational model for single-image super-resolution based on the assumption that the gradient of the target image is sparse. We enforce this assumption by considering both an isotropic and an anisotropic $\ell^0$…

Image and Video Processing · Electrical Eng. & Systems 2020-12-17 Pasquale Cascarano , Luca Calatroni , Elena Loli Piccolomini

Gradient Ascent Pulse Engineering (GRAPE) is a popular technique in quantum optimal control, and can be combined with automatic differentiation (AD) to facilitate on-the-fly evaluation of cost-function gradients. We illustrate that the…

Quantum Physics · Physics 2024-03-07 Yunwei Lu , Sandeep Joshi , Vinh San Dinh , Jens Koch

We present a novel numerical implementation of radiative transfer in the cosmological smoothed particle hydrodynamics (SPH) simulation code {\small GADGET}. It is based on a fast, robust and photon-conserving integration scheme where the…

Astrophysics · Physics 2009-06-23 M. Petkova , V. Springel

The description of extreme-mass-ratio binary systems in the inspiral phase is a challenging problem in gravitational wave physics with significant relevance for the space interferometer LISA. The main difficulty lies in the evaluation of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos F. Sopuerta , Pablo Laguna

For computational acoustics, schemes need to have low-dispersion and low-dissipation properties in order to capture the amplitude and phase of the wave correctly. To improve the spectral properties of the scheme, the authors have previously…

Computational Physics · Physics 2021-11-15 Y. H. Li , Y. X. Ren , Y. T. Su

The observable quantities that carry the most information regarding the structures of the images of black holes in the interferometric observations with the Event Horizon Telescope are the closure phases along different baseline triangles.…

High Energy Astrophysical Phenomena · Physics 2017-07-26 Lia Medeiros , Chi-kwan Chan , Feryal Özel , Dimitrios Psaltis , Junhan Kim , Daniel Marrone , Aleksander Sądowski

Disc accretion on to a black hole is often misaligned from its spin axis. If the disc maintains a significant magnetic field normal to its local plane, we show that dipole radiation from Lense-Thirring precessing disc annuli can extract a…

High Energy Astrophysical Phenomena · Physics 2018-04-25 Andrew King , Chris Nixon
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