Grid point index number

Figure 12 reveals that when VAi = a VBi(Vi) (a is a constant and i- 0) the Petke MEP-SI is an even more sensitive measure of similarity than the Hodgkin index. This is true particularly in the region ae[- 1, 1] where MEP-SI(P) varies linearly with a. The Sis defined by Eqs. (17), (18) and (22) may be called cumulative indices since in each case the SI is computed by accumulating products of MEP values for a number of grid points [116]. 

The eigenvector and potential vector arrays are row-wise distributed in the same fashion. The program only requires an index function indx(i, j, k) which returns the number of the processor in which the grid point (i, j, k) resides. 

The eigenfunctions of P i are simply Fourier sine waves (or modes) labeled by the index k, with I < k < N - where N is the number of grid points. The corresponding eigenvalues are given by ... 

This will become a little more complicated later, when the space is mapped into new coordinates, and limits in terms of these must be set. In Fig. 12.3, the number of nodes (lines) is held small, in order not to confuse the picture. The grid is chosen such that there are expanding intervals in both the Z direction and in the two R directions away from and on either side of the line R = 1. For reasons which will become clear below, the index j for the R positions starts at —1. There are n.i intervals between R = 0 and the disk edge, and a total of ur between the origin and the point at which R = Rmax, there are two further points beyond this, which also will be explained. The positions for Z, indexed with i, begin at zero and n-z is the point at which Z = Zmax. Again there are two further points beyond this value. 

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