A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation

Authors:
A. Konguetsof;T. E. Simos
Affiliations:
Department of Production and Management Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece;Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-221 00 Tripolis, Greece
Venue:
Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002
Year:
2003

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Abstract

In this paper a generator of hybrid explicit four-step methods with minimal phase-lag is developed. The methods are of sixth algebraic order and have large intervals of periodicity. The coefficients of the methods are determined in order to have minimal phase-lag. The efficiency of the new methods is showed by their application to the Schrödinger equation and by their comparison with other well-known methods.