title: Dissipative high phase-lag order numerov-type methods for the numerical solution of the Schrodinger equation
abstract: A generator of families of explicit hybrid methods with minimal phase lag is developed in this paper. The methods of the generator have algebraic order six. The main characteristic of the new methods is that they are dissipative, i.e., they are not symmetric and they have not an interval of periodicity. The generator is of dissipation order eight. Numerical results indicate that these new methods are more efficient than older ones, i.e., the property of the phase lag is more crucial than the nonempty interval of periodicity for the construction of the numerical methods for the numerical solution of the Schrodinger-type equations.
authors.affiliation: Laboratory of Applied Mathematics and Computers, Department of Sciences, Technical University of Crete, Kounoupidiana, 73 100 Chania, Crete, Greece.
authors.initials: G
authors.lastname: Avdelas
authors.initials: TE
authors.lastname: Simos