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Formal solutions for polarized radiative transfer III. Stiffness and instability

Abstract:

Efficient numerical approximation of the polarized radiative transfer equation is challenging because this system of ordinary differential equations exhibits stiff behavior, which potentially results in numerical instability. This negatively impacts the accuracy of formal solvers, and small step-sizes are often necessary to retrieve physical solutions. This work presents stability analyses of formal solvers for the radiative transfer equation of polarized light, identifies instability issues,...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.3847/1538-4357/aab3d9

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-3309-7657
Publisher:
American Astronomical Society Publisher's website
Journal:
Astrophysical Journal Journal website
Volume:
857
Issue:
2
Article number:
91
Publication date:
2018-04-18
Acceptance date:
2018-03-02
DOI:
EISSN:
1538-4357
ISSN:
0004-637X
Keywords:
Pubs id:
pubs:828094
UUID:
uuid:c9a017c1-6717-45a6-b06a-3d7ffe53d439
Local pid:
pubs:828094
Source identifiers:
828094
Deposit date:
2018-03-06

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