The inverse Sturm-Liouville problem and the Rayleigh-Ritz method
The inverse Sturm-Liouville problem and the Rayleigh-Ritz method
In this paper we present an algorithm for solving the inverse Sturm-Liouville problem with symmetric potential and Dirichlet boundary conditions. The algorithm is based on the Rayleigh-Ritz method for calculating the eigenvalues of a two point boundary value problem, and reduces the inverse problem for the differential equation to a …