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With the forthcoming VLBI images of Sgr A* and M87, simulations of accretion flows onto black holes acquire a special importance to aid with the interpretation of the observations and to test the predictions of different accretion…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Hector Olivares , Oliver Porth , Yosuke Mizuno

The time dependent non-equilibrium radiation diffusion equations are important for solving the transport of energy through radiation in optically thick regimes and find applications in several fields including astrophysics and inertial…

Numerical Analysis · Mathematics 2014-03-05 Bobby Philip , Zhen Wang , Mark Berrill , Manuel Rodriguez Rodriguez , Michael Pernice

Recently, there has been much interest in black hole echoes, based on the idea that there may be some mechanism (e.g., from quantum gravity) that waves/fields falling into a black hole could partially reflect off of an interface before…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Conner Dailey , Niayesh Afshordi , Erik Schnetter

An adaptive refinement strategy, based on an equilibrated flux a posteriori error estimator, is proposed in the context of defeaturing problems. Defeaturing consists of removing features from complex domains to simplify mesh generation and…

Numerical Analysis · Mathematics 2026-03-04 Annalisa Buffa , Denise Grappein , Rafael Vázquez

Atmospheric turbulence poses a significant challenge to the performance of object detection models. Turbulence causes distortions, blurring, and noise in images by bending and scattering light rays due to variations in the refractive index…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Engin Uzun , Erdem Akagunduz

The Refl1d program is used for modeling and fitting data from neutron and X-ray reflectometry experiments. The model of the (thin-film) samples is typically constructed of discrete layers of different scattering-length densities (SLD).…

Computational Physics · Physics 2018-01-22 Brian B. Maranville , Aaron Green , Paul A. Kienzle

We present an administration technique for the bookkeeping of adaptive mesh refinement on (hyper-)rectangular meshes. Our technique is a unified approach for h-refinement on 1-, 2- and 3D domains, which is easy to use and avoids traversing…

Numerical Analysis · Mathematics 2022-02-08 Niklas Kolbe , Nikolaos Sfakianakis

Neutron reflectometry (NR) is a powerful technique to probe surfaces and interfaces. NR is inherently an indirect measurement technique, access to the physical quantities of interest (layer thickness, scattering length density, roughness),…

Centered finite volume methods are considered in the context of Numerical Relativity. A specific formulation is presented, in which third-order space accuracy is reached by using a piecewise-linear reconstruction. This formulation can be…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniela Alic , Carles Bona , Carles Bona-Casas , Joan Massó

We propose a novel approach for 3D mesh reconstruction from multi-view images. Our method takes inspiration from large reconstruction models like LRM that use a transformer-based triplane generator and a Neural Radiance Field (NeRF) model…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Peiye Zhuang , Songfang Han , Chaoyang Wang , Aliaksandr Siarohin , Jiaxu Zou , Michael Vasilkovsky , Vladislav Shakhrai , Sergey Korolev , Sergey Tulyakov , Hsin-Ying Lee

This article investigates residual a posteriori error estimates and adaptive mesh refinements for time-dependent boundary element methods for the wave equation. We obtain reliable estimates for Dirichlet and acoustic boundary conditions…

Numerical Analysis · Mathematics 2020-10-01 Heiko Gimperlein , Ceyhun Oezdemir , David Stark , Ernst P. Stephan

Implicit representations like Neural Radiance Fields (NeRF) showed impressive results for photorealistic rendering of complex scenes with fine details. However, ideal or near-perfectly specular reflecting objects such as mirrors, which are…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Leif Van Holland , Ruben Bliersbach , Jan U. Müller , Patrick Stotko , Reinhard Klein

The Black Box Variational Inference (Ranganath et al. (2014)) algorithm provides a universal method for Variational Inference, but taking advantage of special properties of the approximation family or of the target can improve the…

Computation · Statistics 2019-06-18 Alexander Immer , Guillaume P. Dehaene

Binary black hole (BBH) mergers detected via gravitational waves are addressing key open questions in astrophysics, cosmology, and fundamental physics. Our scientific conclusions rely on extracting accurate source parameters, for which we…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Parthapratim Mahapatra , Jonathan E. Thompson , Edward Fauchon-Jones , Mark Hannam

In this paper, we present an advanced approach to solving the inverse rig problem in blendshape animation, using high-quality corrective blendshapes. Our algorithm introduces novel enhancements in three key areas: ensuring high data…

Graphics · Computer Science 2024-01-31 Stevo Racković , Cláudia Soares , Dušan Jakovetić

The production of numerical relativity waveforms that describe quasicircular binary black hole mergers requires high-quality initial data, and an algorithm to iteratively reduce residual eccentricity. To date, these tools remain closed…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Sarah Habib , Antoni Ramos-Buades , E. A. Huerta , Sascha Husa , Roland Haas , Zachariah Etienne

Over the past decade, reflection matrix microscopy (RMM) and advanced image reconstruction algorithms have emerged to address the fundamental imaging depth limitations of optical microscopy in thick biological tissues and complex media. In…

Optics · Physics 2024-07-03 Sungsam Kang , Seokchan Yoon , Wonshik Choi

As modeling and visualization applications proliferate, there arises a need to simplify large polygonal models at interactive rates. Unfortunately existing polygon mesh simplification algorithms are not well suited for this task because…

Graphics · Computer Science 2025-07-22 Dmitry Brodsky , Benjamin Watson

In this paper, we consider finite difference approximations of the second order wave equation. We use finite difference operators satisfying the summation-by-parts property to discretize the equation in space. Boundary conditions and grid…

Numerical Analysis · Mathematics 2015-09-04 Siyang Wang , Gunilla Kreiss

I review recent developments in numerical relativity, focussing on progress made in 3D black hole evolution. Progress in development of black hole initial data, apparent horizon boundary conditions, adaptive mesh refinement, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel