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Zbl 1199.65228
Anastassi, Z.A.; Simos, T.E.
New trigonometrically fitted six-step symmetric methods for the efficient solution of the Schrödinger equation. (English)
[J] MATCH Commun. Math. Comput. Chem. 60, No. 3, 733-752 (2008). ISSN 0340-6253

For the numerical solution of one dimensional Schrödinger equation, a family of trigonometrically fitted six-step methods is proposed. The stability of the methods is investigated. Numerical examples are presented.
[Boško Jovanović (Beograd)]

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
65L06 Multistep, Runge-Kutta, and extrapolation methods
34L40 Particular ordinary differential operators
34A34 Nonlinear ODE and systems, general
81Q05 Closed and approximate solutions to quantum-mechanical equations
65L20 Stability of numerical methods for ODE

Keywords: initial value problem; trigonometric fitting; linear multistep method; Schrödinger equation; six-step methods; stability; numerical examples

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Zentralblatt MATH Berlin [Germany]