The stellar atmosphere physical system II. An operative sequential algorithm to solve the stellar atmosphere problem

Abstract

In this paper, the second and the last of the series, we present a sequential algorithm to solve the stellar atmosphere problem that may serve as a paradigm for the solution of more general non-linear and non-local problems. The Iteration Factors (IF) Method is applied to achieve a solution of the radiative transfer equations, consistent with the radiative equilibrium constraint.

AGB Stars and Their Circumstellar Envelopes: An Operative Approach to Computing Their Atmospheres

“…The only way to get rid of this otherwise insurmountable drawback is the iterative sequential procedure conceived by Simonneau in the 1980s and applied by himself and coworkers in the computation of stellar atmosphere models. The most recent presentation of the method can be found in [23]. As a necessary preparation for the next subsection, we will recall here just the guidelines of the method.…”