Improved Complete-Linearization Method for the Solution of the Non-LTE Line Transfer Problem
Abstract
A numerical method is presented for the simultaneous solution of the radiative transport equation and the equations of statistical equilibrium of level populations in the investigation of non-LTE line blanketing in the atmospheres of early-type stars. This method allows integrals over frequencies in radiation rates to be replaced by quadrature sums of a significantly lower order than previously used. Errors in radiation rates are estimated explicitly by introducing an error matrix. The obtained estimates of the matrix elements are used for calculating corrections to the radiation field during each iteration of the complete linearization procedure. The basic matrix size for this procedures significantly reduced, and more atomic transitions can be treated explicitly.
- Publication:
-
Bulletin of the Astronomical Institutes of Czechoslovakia
- Pub Date:
- 1975
- Bibcode:
- 1975BAICz..26...38H
- Keywords:
-
- Early Stars;
- Line Spectra;
- Radiative Transfer;
- Stellar Atmospheres;
- Atomic Spectra;
- Error Analysis;
- Iteration;
- Linearization;
- Stellar Spectra;
- Astrophysics