Statistics – Computation
Scientific paper
May 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...231..116h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol., 231, no. 1, May 1990, p. 116-124.
Statistics
Computation
73
Newton-Raphson Method, Radiative Transfer, Stellar Atmospheres, Stellar Winds, Wolf-Rayet Stars, Computational Astrophysics, Equilibrium Methods, Iterative Solution, Operators (Mathematics), Statistical Analysis
Scientific paper
A method for the solution of the statistical equilibrium, and radiative equilibrium equations in spherical atmospheres is presented. The iterative scheme uses a tridiagonal (or pentadiagonal) Newton-Raphson operator, and is based on the complete linearization method of Auer and Mihalas (1969) but requires less memory, and imposes no limit on the number of transitions that can be treated. The method is also related to iterative techniques that use approximate diagonal lambda operators but it has a vastly superior convergence rate. Calculations of WN and WC model atmospheres illustrate the excellent rate of convergence.
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