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ON ACCELERATION OF ITERATION CONVERGENCE FOR THE SYSTEM OF HEAT RADIATION TRANSPORT IN KINETIC APPROXIMATION

V. Yu. Gusev, V. V. Zavialov, M. Yu. Kozmanov
VANT. Ser.: Mat. Mod. Fiz. Proc. 2003. Вып.2. С. 21-27.

For joint solution of implicit difference equations, which approximate a system of time dependant differential equations, including a kinetic equation of photon transfer and an equation of energy, a modification of a well-known iteration algorithm, allowing an acceleration of iteration convergence to the solution both in a spectral case and in the case of gray substance is studied.
The efficiency of the above approach is illustrated by an example.










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