MAXIMUM/MINIMUM PRINCIPLE FOR SOLVING A FIXED MEDIUM RADIATION PROPAGATION PROBLEM

Ye. S. Andreev, M. Yu. Kozmanov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1983. Вып.1. С. 35-36.

      The radiation propagation in a fixed medium is considered. Maximum/minimum principle is proved for sys-35 terns of differential and difference equations describing a time-dependent spectral radiation and energy transport. A characteristic method is used to obtain a difference approximation of a system of differential equations. The maximum/minimum principle validity for the difference problem solution shows that uncertainty cannot grow infinitely.