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

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • M. Falcone

    (Università di Roma “La Sapienza”, Dipartimento di Matematica)

  • Ó. López Pouso

    (Universidade de Santiago de Compostela, Departamento de Matemática Aplicada)

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.

Suggested Citation

  • M. Falcone & Ó. López Pouso, 2003. "Some remarks on fixed point and Newton techniques for solving the S 2 approximation of transient radiative transfer," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 585-591, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_55
    DOI: 10.1007/978-88-470-2089-4_55
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