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• W3105490345 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, and suggests practical remedies. In particular, the assumptions and the limitations of the stability analysis of Runge-Kutta methods play a crucial role. On this basis, a suitable and pragmatic formal solver is outlined and tested. An insightful comparison to the scalar radiative transfer equation is also presented." @default.
• W3105490345 created "2020-11-23" @default.
• W3105490345 creator A5034696053 @default.
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• W3105490345 date "2018-04-18" @default.
• W3105490345 modified "2023-09-26" @default.
• W3105490345 title "Formal Solutions for Polarized Radiative Transfer. III. Stiffness and Instability" @default.
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• W3105490345 doi "https://doi.org/10.3847/1538-4357/aab3d9" @default.
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