Geodesic
Identifying diagonal element for iterations speedup at numerical solution of heat radiation transport equation in kinetic approximation
Matematičeskoe modelirovanie, Tome 22 (2010) no. 2, pp. 93-104

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Considered are modification of the algorithm of the method of identifying the diagonal element for iterative solution of implicit finite-differential equations approximating the nonlinear system of nonstationary differential equations consisting of the spectral integro-differential kinetic equation of photon transport and the energy equation. The investigation is conducted by the example of the St-scheme of the discrete ordinate method in plane geometry. Presented are theoretical estimations of iterative convergence rate and an example of a test problem.
Keywords: time-dependent transport equation, radiative transfer theory, iteration method, finite-difference scheme. 
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     author = {V. V. Zaviyalov and A. A. Shestakov},
     title = {Identifying diagonal element for iterations speedup at numerical solution of heat radiation transport equation in kinetic approximation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {93--104},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_2_a6/}
}
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V. V. Zaviyalov; A. A. Shestakov. Identifying diagonal element for iterations speedup at numerical solution of heat radiation transport equation in kinetic approximation. Matematičeskoe modelirovanie, Tome 22 (2010) no. 2, pp. 93-104. http://geodesic.mathdoc.fr/item/MM_2010_22_2_a6/