Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag
We use a methodology of optimization of the efficiency of a hybrid two-step method for the numerical solution of the radial Schrödinger equation and related problems with periodic or oscillating solutions. More specifically, we study how the vanishing of the phase-lag and its derivatives optimizes t...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/420387 |
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| _version_ | 1832545619567181824 |
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| author | T. E. Simos |
| author_facet | T. E. Simos |
| author_sort | T. E. Simos |
| collection | DOAJ |
| description | We use a methodology of optimization of the efficiency of a hybrid two-step
method for the numerical solution of the radial Schrödinger equation and related problems with
periodic or oscillating solutions. More specifically, we study how the vanishing of the phase-lag
and its derivatives optimizes the efficiency of the hybrid two-step method. |
| format | Article |
| id | doaj-art-01a25db090e54755a6d5e59a0864d783 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-01a25db090e54755a6d5e59a0864d7832025-02-03T07:25:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/420387420387Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-LagT. E. Simos0Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe use a methodology of optimization of the efficiency of a hybrid two-step method for the numerical solution of the radial Schrödinger equation and related problems with periodic or oscillating solutions. More specifically, we study how the vanishing of the phase-lag and its derivatives optimizes the efficiency of the hybrid two-step method.http://dx.doi.org/10.1155/2012/420387 |
| spellingShingle | T. E. Simos Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag Journal of Applied Mathematics |
| title | Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag |
| title_full | Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag |
| title_fullStr | Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag |
| title_full_unstemmed | Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag |
| title_short | Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag |
| title_sort | optimizing a hybrid two step method for the numerical solution of the schrodinger equation and related problems with respect to phase lag |
| url | http://dx.doi.org/10.1155/2012/420387 |
| work_keys_str_mv | AT tesimos optimizingahybridtwostepmethodforthenumericalsolutionoftheschrodingerequationandrelatedproblemswithrespecttophaselag |