STABILITY AND CONVERGENCE OF THE ROMB FINITE-DIFFERENCE SCHEME FOR COMBINED SOLUTION OF ENERGY AND RADIATION TRANSPORT EQUATIONS USING P₁-APPROXIMATION

A.D. Gadzhiev, A.A. Shestакоv
VANT. Ser.: Mat. Mod. Fiz. Proc 1993. Вып.1. С. 31-37.

      For some difference scheme from the ROMB parametric family, stability and convergence are shown in grid spaces L₂ and С when the energy equation and radiation transport time-dependent equation are solved together.
      The proof is given for the linear case where the inner material energy is proportional to the fourth power of temperature.