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

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

2009-06-16

arxiv.org/abs/0906.2926v2

Astrophys.J.704:661-671,2009

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

19 pages, 12 figures

Scientific paper

10.1088/0004-637X/704/1/661

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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