Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...160..141h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 160, no. 1, May 1986, p. 141-147.
Astronomy and Astrophysics
Astrophysics
13
Early Stars, Late Stars, Newton-Raphson Method, Radiative Transfer, Resonance Lines, Stellar Atmospheres, Convergence, Iterative Solution
Scientific paper
An approximate Newton-Raphson operator has been derived from the comoving frame equation of radiative transfer. This operator has been applied to the two-level line formation problem in spherical expanding atmospheres. Only the formal solution must be calculated from the transfer equation. The corrections of each iterative step have all the properties of a first order iteration procedure. Due to its simple structure the operator can be calculated very easily and its application is not restricted to the comoving frame method. Test calculations have been carried out for atmospheric structures, which are typical for early and late type stars. The convergence of the method has been found to be fast, stable, and linear.
Hempe K.
Schoenberg Kurt
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