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Preconditioned Bi-Conjugate Gradient Method for Radiative Transfer in Spherical Media
L. S. Anusha, K. N. Nagendra, F. Paletou 1, L. Léger 1
(2009-07-31)

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.
1:  Laboratoire Astrophysique de Toulouse-Tarbes (LATT)
CNRS : UMR5572 – INSU – Observatoire Midi-Pyrénées – Université Paul Sabatier [UPS] - Toulouse III
Physics/Astrophysics/Solar and Stellar Astrophysics

Sciences of the Universe/Astrophysics/Solar and Stellar Astrophysics
Fulltext link: 
http://fr.arXiv.org/abs/0906.2926