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3 - Numerical Methods in Radiative Transfer

Published online by Cambridge University Press:  24 December 2019

Edited by
Lucio Crivellari ,
Sergio Simón-Díaz  and
María Jesús Arévalo
Lucio Crivellari
Affiliation:
Instituto de Astrofísica de Canarias, Tenerife
Sergio Simón-Díaz
Affiliation:
Instituto de Astrofísica de Canarias, Tenerife
María Jesús Arévalo
Affiliation:
Universidad de la Laguna, Tenerife
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Summary

This chapter considers a selection of numerical methods developed since 1960s for solving radiative transfer (RT) problems in stellar atmospheres and in all other diluted media where non-LTE effects are important. Special emphasis is put on the solution of the radiative transfer equation (RTE) when the source function is given, because its so-called formal solution constitutes a necessary step in any iterative procedure for the solution of more general RT problems. The application of different methods to the spectral line formation the line(s) radiation field and thestatistical equilibrium (SE) equation(s) for the atomic-level populations involved is discussed for both linear and nonlinear problems.

Keywords

Numerical methods –Radiative transfer –Stellar atmospheres –Non-LTE line formation –Scattering
Type
Chapter
Information
Radiative Transfer in Stellar and Planetary Atmospheres , pp. 81 - 116
Publisher: Cambridge University Press
Print publication year: 2020

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