Review of multistep methods for the numerical solution of the radial Schrodinger equation

摘要

A review of multistep methods for the numerical solution of the Schrodinger equation is presented. Since the literature reports difficulties in the production of some of the Bettis-Cowell methods, we have included a simple way that permits production of these methods for any algebraic and trigonometric order. Numerical comparisons on resonance problems and bound-states problems are also described. (c) 2005 Wiley Periodicals, Inc.