Numerical technique for the inverse resonance problem (Q596213)

This paper deals with a particular computational technique for the problem of recovering a radial potential in \(\mathbb{R}^3\) from its resonance parameters, which are zeros of an appropriately defined Jost function. The authors derive the spectral data by a technique based on a moment problem for a function \(g(t)\) which is related to the boundary values of the corresponding Gelfand-Levitan kernel. In a numerical example eigenvalues are computed by a shooting method and a straightforward finite difference scheme is used to compute \(g(t)\).