PRECONDITIONED BI-CONJUGATE GRADIENT METHOD FOR RADIATIVE TRANSFER IN SPHERICAL MEDIA

被引：18

作者：

Anusha, L. S. ^{[1
]}

Nagendra, K. N. ^{[1
]}

Paletou, F. ^{[2
]}

Leger, L. ^{[2
]}

机构：

[1] Indian Inst Astrophys, Bangalore 560034, Karnataka, India

[2] Univ Toulouse, Lab Astrophys Toulouse Tarbes, CNRS, F-31400 Toulouse, France

来源：

ASTROPHYSICAL JOURNAL | 2009年 / 704卷 / 01期

关键词：

line: formation; methods: numerical; radiative transfer; scattering; APPROXIMATE LAMBDA-OPERATORS; LINE FORMATION; SYMMETRIC SYSTEMS; ALI METHOD; FORMULATION; SCHEME;

D O I：

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

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A robust numerical method called the Preconditioned Bi-Conjugate Gradient (Pre-BiCG) method is proposed for the solution of the 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 the Pre-BiCG method in some benchmark tests shows that the method is quite versatile, and can handle difficult problems that may arise in astrophysical radiative transfer theory.

引用

页码：661 / 671

页数：11

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