On convergence acceleration of method of identifying diagonal element for problems of radiativ heat transfer with scattering
Matematičeskoe modelirovanie, Tome 25 (2013) no. 4, pp. 74-82

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The paper presents a method used to identify the diagonal element for the iterative solution of implicit finite-difference equations approximating a non-linear system of nonstationary differential equations — an integro-differential spectral kinetic photon transport equation and energy equation. Two alternatives of the algorithm are investigated using the WDD-scheme in slab geometry as an example. Theoretical convergence estimates and test calculations are provided.
Keywords: radiative heat transfer, iteration method, finite-difference scheme.
V. V. Zaviyalov. On convergence acceleration of method of identifying diagonal element for problems of radiativ heat transfer with scattering. Matematičeskoe modelirovanie, Tome 25 (2013) no. 4, pp. 74-82. http://geodesic.mathdoc.fr/item/MM_2013_25_4_a5/
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