Preconditioned Bi-Conjugate Gradient Method for Radiative Transfer in Spherical Media
Solar and Stellar Astrophysics
2011-05-25 v2
Abstract
A robust numerical method called the Preconditioned Bi-Conjugate Gradient (Pre-BiCG)method is proposed for the solution of radiative transfer equation in spherical geometry.A variant of this method called Stabilized Preconditioned Bi-Conjugate Gradient (Pre-BiCG-STAB) is also presented. These are iterative methods based on the construction of a set of bi-orthogonal vectors. The application of Pre-BiCG method in some benchmark tests show that the method is quite versatile, and can handle hard problems that may arise in astrophysical radiative transfer theory.
Cite
@article{arxiv.0906.2926,
title = {Preconditioned Bi-Conjugate Gradient Method for Radiative Transfer in Spherical Media},
author = {L. S. Anusha and K. N. Nagendra and F. Paletou and L. Léger},
journal= {arXiv preprint arXiv:0906.2926},
year = {2011}
}
Comments
19 pages, 12 figures