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

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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.

Keywords

Hybrid methods
Explicit methods
Algebraic order
Phase-lag
Interval of periodicity
Schrödinger equation
Initial-value problems

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This work was supported by the research committee of Democritus University of Thrace (ΠPENEΔ Research Programs) under contract: K.E. 875.

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