ITERATION CONVERGENCE SPEEDUP METHOD FOR NUMERICAL SOLUTION OF A ONE-DIMENSIONAL NONSTATIONARY RADIATION TRANSPORT EQUATION IN A MULTIGROUP KINETIC APPROXIMATION

E.T. Grоshev
VANT. Ser.: Mat. Mod. Fiz. Proc 1992. Вып.1. С. 67-72.

      An iteration convergence speedup method is proposed for numerical solution of a 1-D nonstationary radiation transport equation in a multigroup kinetic approximation using a ST^γ=1-scheme.
      The method relies upon choosing a "correction" operator as a spectral P₁-approximation for the transport equation in combination with Newton temperature linearization. The correction system is reduced to a three-point form with respect to the spatial variable and is solved with Jacobi iteration method.