Exact Solution of a Line-Transfer Problem in Kernal Approximation

Details Exact Solution of a Line-Transfer Problem in Kernal Approximation Exact Solution of a Line-Transfer Problem in Kernal Approximation

Sep 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..30...35u&link_type=abstract

Astrophysics and Space Science, Volume 30, Issue 1, pp.35-41

Astronomy and Astrophysics

Astrophysics

Scientific paper

In recent years approximate solutions for line-transfer problems using a kernel representation have been discussed by several authors (cf. Avrett and Loeser, 1966; Hummer and Rybicki, 1967). In this paper, extending an invariant imbedding method to the line-transfer problem with a kernel approximation as a sum of exponentials, we show how to get an exact solution of Milne's integral equation for the frequency-independent line source function with the aid of the resolvent kernel. A Cauchy system for an auxiliary function and the resolvent is suitable for numerical computation by means of high-speed digital computers.

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