| Issue |
A&A
Volume 527, March 2011
|
|
|---|---|---|
| Article Number | A1 | |
| Number of page(s) | 4 | |
| Section | Numerical methods and codes | |
| DOI | https://doi.org/10.1051/0004-6361/201015923 | |
| Published online | 18 January 2011 | |
Research Note
Broyden’s method for the solution of the multilevel non-LTE radiation transfer problem
Institut de Recherche en Astrophysique et Planétologie, Université de
Toulouse, CNRS,
14 av. E. Belin,
31400
Toulouse,
France
e-mail: fpaletou@ast.obs-mip.fr
Received:
13
October
2010
Accepted:
12
December
2010
This study concerns the fast and accurate solution of multilevel non-LTE radiation transfer problems. We propose and evaluate an alternative iterative scheme to the classical MALI method. Our study is instead based on the application of Broyden’s method for the solution of nonlinear systems of equations. Comparative tests, in 1D plane-parallel geometry, of the popular MALI method and our alternative method are discussed. The Broyden method is typically 4.5 times faster than MALI. This makes it also fairly competitive with the Gauss-Seidel and Successive Over-Relaxation methods developed after MALI.
Key words: radiative transfer / methods: numerical
© ESO, 2011
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