A generator of hybrid explicit methods for the numerical solution of the Schrodinger equation and related problems

In this paper a generator of hybrid explicit methods with minimal phase-lag is developed for the numerical solution of the Schrodinger equation and re lated problems. The methods are of eighth algebraic order and have large in tervals of periodicity. In order to have minimal phase-lag the methods of t he generator, their coefficients are determined automatically. The efficien cy of the new methods is presented by their application to some well-known problems with periodic or oscillating solutions and to the coupled differen tial equations of the Schrodinger type. (C) 2001 Elsevier Science B.V. All rights reserved.