Identifying diagonal element for iterations speedup at numerical solution of heat radiation transport equation in kinetic approximation

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.