A Generator and an Optimized Generator of High-Order Hybrid Explicit Methods for the Numerical Solution of the Schrödinger Equation. Part 2. Development of the Generator, Optimization of the Generator and Numerical Results |
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Authors: | G Avdelas A Konguetsof TE Simos |
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Institution: | (1) Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece;(2) Laboratory of Applied Mathematics and Computers, Department of Sciences, Technical University of Crete, GR-731 00 Chania, Crete |
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Abstract: | The generator of tenth-order hybrid explicit methods, the basic method of which has been developed in part 1, is constructed and also optimized, by maximization of the intervals of periodicity. The efficiency of the new methods is shown by their application to the coupled differential equations of the Schrödinger type. |
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Keywords: | phase-lag hybrid methods explicit methods algebraic order intervals of stability Schrö dinger equation periodic problems initial-value problems |
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