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arXiv · 0906.2926

Preconditioned Bi-Conjugate Gradient Method for Radiative Transfer in Spherical Media

L. S. Anusha·K. N. Nagendra·F. Paletou·L. Léger
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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.

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L. S. Anusha, K. N. Nagendra, F. Paletou, L. Léger. 2009-06-16. Preconditioned Bi-Conjugate Gradient Method for Radiative Transfer in Spherical Media. https://doi.org/10.1088/0004-637x/704/1/661

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