Abstract: In this paper, the configurations of the P-P-G-C and the R-G-C-R Mechanisms are established by the method of vector equations. As in Part 1, explicit solutions in terms of given vectors are obtained, independent of the polynomial equations of the kind obtained by Chace.

Key words: nonlinear hyperbolic system, computational fluid dynamic, preconditioning algorithm, implicit time marching method, characteristic boundary condition, high-order-accuracy