Numerical Analysis for Engineers, 2nd Edition

194 6.9 Multidimensional Interpolation

the terms of the general nth-order interpolation polynomial can

be dropped, if desired. is is not possible in most of the other

interpolation methods.

2. Both the Gregory–Newton and Lagrange polynomial interpo-

lation methods eliminate the need to solve a set of simulta-

neous equations. Of the two methods, the Lagrange polynomial

scheme is perhaps the easier to program. Although both of these

methods (as well as the method of undetermined coefficients)

work with unequally spaced data points, the best accuracy is

usually achieved when the differences in the spacing of the data

points is minimal.

3. e fin ...