Lawrence Berkeley National Laboratory

In this work we consider the numerical solution of a radiative transfer equation for modeling the emission of photons in stellar atmospheres. Mathematically, the problem is formulated in terms of a weakly singular Fredholm integral equation defined on a Banach space. Several computational approaches to solve the problem are discussed, using direct and iterative strategies that are implemented in open source packages available in the DOE Advanced CompuTational Software (ACTS) Collection.