A unified discussion of the Galerkin method is given for the approximate solution of Fredholm integral equations of the second kind and of similar linear operator equations. The numerical stability of the approximate solutions is also discussed. As an application of the Galerkin method, the classical Fredholm-Nystr6m method is reviewed.

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A simple and efficient numerical method for computing the zeros of regular Coulomb wave functions and of their derivatives is presented. The method is based on the characterization of the zeros of the functions and of their derivatives in terms of eigenvalues of certain compact matrix operators. A similar approach has been reported for the computation of the zeros of Bessel functions and of their derivatives [9], [14].