paper on "Broyden's method" for solution of RT (trac #192)

[cloudy-bot]

reported by: @CloudyLex

arXiv:1012.3841v1 [astro-ph.IM] 17 Dec 2010

On Broyden’s method for the solution of the multilevel non–LTE radiation transfer problem

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 indeed based on the application of Broyden’s method for the solution of nonlinear systems of equations. Comparative tests, in 1D plane-parallel geometry, between the popular MALI method and our alternative method are discussed. The Broyden method is typically 4.5 times faster than MALI. It makes it also fairly competitive with Gauss-Seidel and Successive Over-Relaxation methods developed after MALI. Key

---

said to be far faster to converge than ALI - look into this method??

Migrated from https://www.nublado.org/ticket/192

{
    "status": "new",
    "changetime": "2019-02-04T13:22:12Z",
    "_ts": "1549286532334131",
    "description": "arXiv:1012.3841v1 [astro-ph.IM] 17 Dec 2010 \n\nOn Broyden\u2019s method for the solution of the multilevel non\u2013LTE\nradiation transfer problem\n\nThis study concerns the fast and accurate solution of multilevel non-LTE radiation transfer problems. We propose and evaluate an\nalternative iterative scheme to the classical MALI method. Our study is indeed based on the application of Broyden\u2019s method for the\nsolution of nonlinear systems of equations. Comparative tests, in 1D plane-parallel geometry, between the popular MALI method and\nour alternative method are discussed. The Broyden method is typically 4.5 times faster than MALI. It makes it also fairly competitive\nwith Gauss-Seidel and Successive Over-Relaxation methods developed after MALI.\nKey\n\n\n----\n\nsaid to be far faster to converge than ALI - look into this method??",
    "reporter": "gary",
    "cc": "",
    "resolution": "",
    "time": "2010-12-26T23:34:19Z",
    "component": "radiative transfer",
    "summary": "paper on \"Broyden's method\" for solution of RT",
    "priority": "good to do",
    "keywords": "",
    "version": "trunk",
    "milestone": "no milestone",
    "owner": "nobody",
    "type": "enhancement"
}

[cloudy-bot]

• @peter-van-hoof-noaccount commented:

Milestone renamed

• @peter-van-hoof-noaccount changed milestone from "Radiative transfer" to "radiative transfer"

[cloudy-bot]

@peter-van-hoof-noaccount changed milestone from "radiative transfer" to "no milestone"