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Spectral analysis is a powerful tool to investigate stellar properties and it has been widely used for decades now. However, the methods considered to perform this kind of analysis are mostly based on iteration among a few diagnostic lines…

Instrumentation and Methods for Astrophysics · Physics 2015-09-30 J-M. Mugnes , C. Robert

When interpreting spectropolarimetric observations of the solar atmosphere, wavelength variations of the emergent intensity and polarization translate into information on the depth stratification of physical parameters. We aim to quantify…

Solar and Stellar Astrophysics · Physics 2025-01-29 C. J. Díaz Baso , I. Milić , L. Rouppe van der Voort , R. Schlichenmaier

Measuring distances to galaxies, determining their chemical composition, investigating the nature of their stellar populations and the absorbing properties of their interstellar medium are fundamental activities in modern extragalactic…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Rolf Peter Kudritzki

Simulating a Gaussian process requires sampling from a high-dimensional Gaussian distribution, which scales cubically with the number of sample locations. Spectral methods address this challenge by exploiting the Fourier representation,…

Machine Learning · Statistics 2026-02-27 Arsalan Jawaid , Abdullah Karatas , Jörg Seewig

A spectral method is considered for approximating the fractional Laplacian and solving the fractional Poisson problem in 2D and 3D unit balls. The method is based on the explicit formulation of the eigenfunctions and eigenvalues of the…

Numerical Analysis · Mathematics 2018-12-21 Kailai Xu , Eric Darve

Accurate model stellar fluxes are key for the analysis of observations of individual stars or stellar populations. Model spectra differ from real stellar spectra due to limitations of the input physical data and adopted simplifications, but…

Solar and Stellar Astrophysics · Physics 2015-05-20 Carlos Allende Prieto

Stellar spectra encode key information on the physical properties and chemical compositions of stars. Accurate stellar parameter determination is essential for addressing major questions such as galaxy and stellar evolution. Large-scale…

Instrumentation and Methods for Astrophysics · Physics 2026-05-27 Hai-Ling Lu , Yu-Yang Li , Yin-Bi Li , Cun-Shi Wang , A-Li Luo , Jun-Chao Liang , Shuo Li

The program package SME (Spectroscopy Made Easy), designed to perform an analysis of stellar spectra using spectral fitting techniques, was updated due to adding new functions (isotopic and hyperfine splittins) in VALD and including grids…

Instrumentation and Methods for Astrophysics · Physics 2017-10-31 N. Piskunov , T. Ryabchikova , Yu. Pakhomov , T. Sitnova , S. Alexeeva , L. Mashonkina , T. Nordlander

We present Stellar Locus Regression (SLR), a method of directly adjusting the instrumental broadband optical colors of stars to bring them into accord with a universal stellar color-color locus, producing accurately calibrated colors for…

Instrumentation and Methods for Astrophysics · Physics 2010-05-12 F. William High , Christopher W. Stubbs , Armin Rest , Brian Stalder , Peter Challis

Libraries of stellar spectra find many uses in astrophysics, from photometric calibration to stellar population synthesis. We present low resolution spectra of 40 stars from 0.2 micrometers (ultraviolet) to 1.0 micrometers (near infrared)…

Solar and Stellar Astrophysics · Physics 2018-07-25 Islam Khan , Guy Worthey

This paper provides an efficient recursive approach of the spectral Tau method to approximate the solution of system of generalized Abel-Volterra integral equations. In this regards, we first investigate the existence, uniqueness as well as…

Numerical Analysis · Mathematics 2021-07-28 S. Shahmorad , P. Mokhtary , Y. Talaei , A. Faghih

Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to recover signals having sparse line spectra from few temporal…

Information Theory · Computer Science 2017-01-31 Maxime Ferreira Da Costa , Wei Dai

In this paper, we develop a novel framework to optimally design spectral estimators for phase retrieval given measurements realized from an arbitrary model. We begin by deconstructing spectral methods, and identify the fundamental…

Signal Processing · Electrical Eng. & Systems 2020-12-14 Bariscan Yonel , Birsen Yazici

The study of stellar populations is a discipline that is highly dependent on both imaging and spectroscopy. I discuss techniques in different regimes of resolving power: broadband imaging (R~4), intermediate band imaging (R~16, 64),…

Astrophysics · Physics 2009-11-13 Joss Bland-Hawthorn

Interstellar scintillation can be used to probe transverse sizes of radio sources on scales inaccessible to the nominal resolution of any terrestrial telescope, e.g. $\lesssim 10^{-6}$ arc sec. Methodology is presented that exploits this…

Astrophysics · Physics 2007-05-23 J. M. Cordes

In the era of vast spectroscopic surveys focusing on Galactic stellar populations, astronomers want to exploit the large quantity and good quality of data to derive their atmospheric parameters without losing precision from automatic…

Solar and Stellar Astrophysics · Physics 2017-12-13 M. Tsantaki , D. T. Andreasen , G. D. C. Teixeira , S. G. Sousa , N. C. Santos , E. Delgado-Mena , G. Bruzual

The spectral bundle method proposed by Helmberg and Rendl is well established for solving large-scale semidefinite programs (SDP) thanks to its low per iteration computational complexity and strong practical performance. In this paper, we…

Optimization and Control · Mathematics 2022-11-08 Lijun Ding , Benjamin Grimmer

Galaxy spectra are a rich source of kinematical information since the shapes of the absorption lines reflect the movement of stars along the line-of-sight. We present a technique to directly build a dynamical model for a galaxy by fitting…

Astrophysics · Physics 2009-10-30 S. De Rijcke , H. Dejonghe

This paper investigates the problem of prediction of stellar parameters, based on the star's electromagnetic spectrum. The knowledge of these parameters permits to infer on the evolutionary state of the star. From a statistical point of…

Applications · Statistics 2015-10-21 Sylvain Robbiano , Matthieu Saumard , Michel Curé

Spectrograph slit is conventionally used to enhance the spectral resolution and manage how much light can be allowed to enter spectrograph. A narrower slit provides a higher resolution but sacrifices efficiency of spectrograph and results…

Instrumentation and Methods for Astrophysics · Physics 2013-06-10 FengFei Wang , HaoTong Zhang , A-Li Luo , ZhongRui Bai , Bing Du , YongHeng Zhao
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