A Family of Trigonometrically-Fitted Symmetric Methods for the Efficient Solution of the Schrödinger Equation and Related Problems |
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| Authors: | T.E. Simos |
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| Affiliation: | (1) Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, GR-221 00 Tripolis, Greece |
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| Abstract: | In this paper a family of trigonometrically-fitted symmetric ten-step methods for the efficient solution of the Schrödinger equation and related problems is presented. Construction and stability analysis of the new methods is described. Numerical results obtained for the resonance problem of the one-dimensional Schrödinger equation show the efficiency of the new methods when they are compared with known methods in the literature. |
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| Keywords: | numerical solution initial-value problems (IVPs) explicit methods symmetric methods trigonometric-fitting multistep methods |
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