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1: 18.40 Methods of Computation
See accompanying text
Figure 18.40.1: Histogram approximations to the Repulsive Coulomb–Pollaczek, RCP, weight function integrated over [ 1 , x ) , see Figure 18.39.2 for an exact result, for Z = + 1 , shown for N = 12 and N = 120 . Magnify
Interpolation of the midpoints of the jumps followed by differentiation with respect to x yields a Stieltjes–Perron inversion to obtain w RCP ( x ) to a precision of 4 decimal digits for N = 120 . … The example chosen is inversion from the α n , β n for the weight function for the repulsive Coulomb–Pollaczek, RCP, polynomials of (18.39.50). This is a challenging case as the desired w RCP ( x ) on [ 1 , 1 ] has an essential singularity at x = 1 .
See accompanying text
Figure 18.40.2: Derivative Rule inversions for w RCP ( x ) carried out via Lagrange and PWCF interpolations. … Magnify
2: Software Index
  • Open Source Collections and Systems.

    These are collections of software (e.g. libraries) or interactive systems of a somewhat broad scope. Contents may be adapted from research software or may be contributed by project participants who donate their services to the project. The software is made freely available to the public, typically in source code form. While formal support of the collection may not be provided by its developers, within active projects there is often a core group who donate time to consider bug reports and make updates to the collection.