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• W2334228682 abstract "In the present paper, we will investigate a family of explicit four-step meth ods first introduced by Anastassi and Simos ( 1) for the case of vanishing of phase-lag and its first derivative. These methods are efficient for the numerical solution of the Schr ¨ odinger equation and related initial-value or boundary-value problems with periodic and/or oscillating solutions. As we mentioned before the main scope of this paper is the study of the elimination of the phase-lag and its fi rst derivative of the family of the methods to be investigated. A comparative error and stability analysis will be presented f or the studied family of four-step explicit methods. The new obtained methods will finally be tested on the resonance problem of the Schrequation in order to examine their efficiency." @default.
• W2334228682 created "2016-06-24" @default.
• W2334228682 creator A5081822197 @default.
• W2334228682 date "2014-03-01" @default.
• W2334228682 modified "2023-09-23" @default.
• W2334228682 title "On the Explicit Four-Step Methods with Vanished Phase-Lag and its First Derivative" @default.
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• W2334228682 doi "https://doi.org/10.12785/amis/080201" @default.
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