Iterative performance of various formulations of the equations

In this paper, the Standard, Composite, and Canonical forms of the Simplified P N ( SP N ) equations are reviewed and their corresponding iterative properties are compared. The Gauss–Seidel (FLIP), Explicit, and preconditioned Source Iteration iterative schemes have been analyzed for both isotropic and highly anisotropic (Fokker–Planck) scattering. The iterative performance of the various SP N forms is assessed using Fourier analysis, corroborated with numerical experiments.