Summary
We propose two numerical algorithms for solving the transient 1D radiative transfer equations in the slab: a fixed point algorithm and a Newton algorithm. The first one shows good behavior for optically thin media, but its convergence may fail otherwise; this limit is overcome with the second algorithm, which converges in all situations, and moreover is faster when the implementation presented here is used.
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References
Falcone, M., López Pouso, O.: Analysis and comparison of two approximation schemes for a radiative transfer system. Math. Models Methods Appl. Sci., to appear
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© 2003 Springer-Verlag Italia
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Falcone, M., Pouso, Ó.L. (2003). Some remarks on fixed point and Newton techniques for solving the S 2 approximation of transient radiative transfer. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_55
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DOI: https://doi.org/10.1007/978-88-470-2089-4_55
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2167-9
Online ISBN: 978-88-470-2089-4
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