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18 Orthogonal PolynomialsComputation18.40 Methods of Computation
Figure 18.40.2 (See in context.)
See accompanying text
Figure 18.40.2: Derivative Rule inversions for wRCP(x) carried out via Lagrange and PWCF interpolations. Shown are the absolute errors of approximation (18.40.8) at the points xi,N, i=1,2,,N for N=40. For the derivative rule Lagrange interpolation (red points) gives 15 digits in the central region, while PWCF interpolation (blue points) gives 25.