  A new spectral type method for solving the one dimensional quantum-mechanical
Lippmann-Schwinger integral equation in configuration space is described. The
radial interval is divided into partitions, not necessarily of equal length.
Two independent local solutions of the integral equation are obtained in each
interval via Clenshaw-Curtis quadrature in terms of Chebyshev Polynomials. The
local solutions are then combined into a global solution by solving a matrix
equation for the coefficients. This matrix is sparse and the equation is easily
soluble. The method shows excellent numerical stability, as is demonstrated by
several numerical examples.
