Geodesic
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. 
@article{MM_2013_25_4_a5,
     author = {V. V. Zaviyalov},
     title = {On convergence acceleration of method of identifying diagonal element for problems of radiativ heat transfer with scattering},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {74--82},
     publisher = {mathdoc},
     volume = {25},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_4_a5/}
}
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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/