Some remarks on fixed point and Newton techniques for solving the S 2 approximation of transient radiative transfer

M. Falcone and Ó. López Pouso
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M. Falcone: Università di Roma “La Sapienza”, Dipartimento di Matematica
Ó. López Pouso: Universidade de Santiago de Compostela, Departamento de Matemática Aplicada

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 585-591 from Springer

Abstract: 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.

Keywords: Newton Algorithm; Internal Heat Source; Fixed Point Algorithm; Implicit Euler Scheme; Thin Medium (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_55

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DOI: 10.1007/978-88-470-2089-4_55

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