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Modified scattering phenomena are encountered in the study of global properties for nonlinear dispersive partial differential equations in situations where the decay of solutions at infinity is borderline and scattering fails just barely.…

偏微分方程分析 · 数学 2022-12-21 Mihaela Ifrim , Daniel Tataru

An accurate estimate of the inner edge of the habitable zone is critical for determining which exoplanets are potentially habitable and for designing future telescopes to observe them. Here, we explore differences in estimating the inner…

Delsarte's method and its extensions allow to consider the upper bound problem for codes in 2-point-homogeneous spaces as a linear programming problem with perhaps infinitely many variables, which are the distance distribution. We show that…

组合数学 · 数学 2009-01-07 Oleg R. Musin

Guided wave testing is a popular approach for monitoring the structural integrity of infrastructures. We focus on the primary task of damage detection, where signal processing techniques are commonly employed. The detection performance is…

信号处理 · 电气工程与系统科学 2022-02-02 Ishan D. Khurjekar , Joel B. Harley

Multi-scale wave propagation problems are computationally costly to solve by traditional techniques because the smallest scales must be represented over a domain determined by the largest scales of the problem. We have developed and…

数值分析 · 数学 2009-11-16 Bjorn Engquist , Henrik Holst , Olof Runborg

Accurate photometric and kinematic modelling of disc galaxies requires the inclusion of radiative transfer models. Due to the complexity of the radiative transfer equation (RTE), sophisticated techniques are required. Various techniques…

天体物理学 · 物理学 2009-11-06 Maarten Baes , Herwig Dejonghe

Two benchmark problems for linear radiation transport and derived from the literature are presented in detail and several quantities of interest are defined. High-resolution simulations are computed using standard, robust numerical methods…

计算物理 · 物理学 2025-05-26 Steffen Schotthöfer , Cory Hauck

Single flux density measurements at observed-frame sub-millimeter and millimeter wavelengths are commonly used to probe dust and gas masses in galaxies. In this Letter, we explore the robustness of this method to infer dust mass, focusing…

星系天体物理 · 物理学 2022-11-16 R. K. Cochrane , C. C. Hayward , D. Anglés-Alcázar

The continued development of computational approaches to many-body ground-state problems in physics and chemistry calls for a consistent way to assess its overall progress. In this work, we introduce a metric of variational accuracy, the…

The performance of basis sets made of numerical atomic orbitals is explored in density-functional calculations of solids and molecules. With the aim of optimizing basis quality while maintaining strict localization of the orbitals, as…

材料科学 · 物理学 2009-11-07 Javier Junquera , Oscar Paz , Daniel Sanchez-Portal , Emilio Artacho

To facilitate the study of black hole fueling, star formation, and feedback in galaxies, we outline a method for treating the radial forces on interstellar gas due to absorption of photons by dust grains. The method gives the correct…

星系天体物理 · 物理学 2015-06-04 G. S. Novak , J. P. Ostriker , L. Ciotti

Spectropolarimetry from the near IR to the far UV of light scattered by dust provides a valuable diagnostic of the dust composition, grain size distribution and spatial distribution. To facilitate the use of this diagnostic, we present…

天体物理学 · 物理学 2009-10-31 Victor G. Zubko , Ari Laor

Estimating the temperature and mass of dust in high-$z$ galaxies is essential for discussions of the origin of dust in the early Universe. However, this suffers from limited sampling of the infrared spectral-energy distribution. Here we…

星系天体物理 · 物理学 2020-06-03 Akio K. Inoue , Takuya Hashimoto , Hiroki Chihara , Chiyoe Koike

The Radiative transfer coherent backscattering (RT-CB) code is extended to apply to dense discrete random media of optically soft spherical particles. This is achieved by utilizing the well-known static-structure-factor (SSF) correction…

材料科学 · 物理学 2023-11-23 Johannes Markkanen , Antti Penttilä

The problem of radio wave reflection from an optically thick plane monotonous layer of magnetized plasma is considered at present work. The plasma electron density irregularities are described by spatial spectrum of an arbitrary form. The…

等离子体物理 · 物理学 2009-10-31 N. A. Zabotin , A. G. Bronin , G. A. Zhbankov

This paper investigates the numerical modeling of a time-dependent heat transmission problem by the convolution quadrature boundary element method. It introduces the latest theoretical development into the error analysis of the numerical…

数值分析 · 数学 2017-11-08 Tianyu Qiu , Alexander Rieder , Francisco-Javier Sayas , Shougui Zhang

In this paper, we study the steady-states of a large class of stationary radiative transfer equations in a $C^1$ convex bounded domain. Namely, we consider the case in which both absorption-emission and scattering coefficients depend on the…

偏微分方程分析 · 数学 2024-01-24 Elena Demattè , Jin Woo Jang , Juan J. L. Velázquez

We describe a highly flexible framework to solve 3D radiation transfer problems in scattering dominated environments based on a long characteristics piece-wise parabolic formal solution and an operator splitting method. We find that the…

天体物理学 · 物理学 2009-11-11 Peter H. Hauschildt , E. Baron

One of the few ways that we can understand the environment around dusty stars and how much material they contribute back to the Universe, is by fitting their brightness at different wavelengths with models that account for how the energy…

天体物理仪器与方法 · 物理学 2020-10-08 Steven R. Goldman

Many important computer vision applications are naturally formulated as regression problems. Within medical imaging, accurate regression models have the potential to automate various tasks, helping to lower costs and improve patient…

机器学习 · 计算机科学 2023-11-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön