A generator of dissipative methods for the numerical solution of the Schrodinger equation
In this paper a generator of hybrid methods with minimal phase-lag is developed for the numerical solution of the Schrodinger equation and related problems. The generator's methods are dissipative and are of eighth algebraic order. In order to have minimal phase-lag with the new methods, their coefficients are determined automatically. Numerical results obtained by their application to some well known problems with periodic or oscillating solutions and to the coupled differential equations of the Schrodinger type indicate the efficiency of these new methods. (C) 2002 Elsevier Science B.V. All rights reserved.
dissipative methods schrodinger equation hybrid methods phase-lag algebraic order oscillating solutions periodic initial-value problems