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Zbl 1027.65094
Konguetsof, A.; Simos, T.E.
A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation. (English)
[J] J. Comput. Appl. Math. 158, No.1, 93-106 (2003). ISSN 0377-0427

Summary: 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.

MSC 2000:: *65L06 Multistep, Runge-Kutta, and extrapolation methods
65L20 Stability of numerical methods for ODE
34L40 Particular ordinary differential operators
34C25 Periodic solutions of ODE
65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: Hybrid explicit four-step methods; minimal phase-lag; sixth algebraic order; large intervals of periodicity; Schrödinger equation; Initial-value problems

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Zentralblatt MATH Berlin [Germany]