Construction of trigonometrically and exponentially fitted Runge--Kutta--Nyström methods for the numerical solution of the Schrödinger equation and related problems -- a method of 8th algebraic order
An \(m\)-stage Runge-Kutta-Nyström method for the investigation of ordinary differential equations of the form \[ u''(t)= f(t,u(t)), \] for which it is known that their solution is periodic or oscillating, is presented. Special attention to the numerical solution of the Schrödinger equation is given.
scientific article; zbMATH DE number 1795008