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Symmetric Eighth Algebraic Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation |
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| Authors: | T.E. Simos Jesus Vigo-Aguiar |
| Affiliation: | (1) Section of Mathematics, School of Engineering, Department of Civil Engineering, University of Thrace, GR-67 100 Xanthi, Greece;(2) Departamento de Matematica Aplicada, Facultad de Ciencias, Universidad de Salamanca, E-37008 Salamanca, Spain |
| Abstract: | In this paper some new eighth algebraic order symmetric eight-step methods are introduced. For these methods a direct formula for the computation of the phase-lag is given. Based on this formula, the calculation of free parameters is done in order the phase-lag to be minimal. The new methods have better stability properties than the classical one. Numerical illustrations on the radial Schrödinger equation indicate that the new method is more efficient than older ones. |
| Keywords: | symmetric methods multistep methods radial Schrö dinger equation resonance problems scattering problems phase shift problems phase-lag |
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