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Zbl 1063.65067
Sakas, D.P.; Simos, T.E.
Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation. (English)
[J] J. Comput. Appl. Math. 175, No. 1, 161-172 (2005). ISSN 0377-0427

Summary: Multiderivative methods with minimal phase-lag are introduced, for the numerical solution of the one-dimensional Schrödinger equation. The methods are called multiderivative since they use derivatives of order two, four or six. Numerical application of the newly introduced method to the resonance problem of the one-dimensional Schrödinger equation shows its efficiency compared with other similar well-known methods of the literature.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B05 Linear boundary value problems of ODE

Keywords: Multiderivative methods; Phase-lag; Dispersion; Stability; Schrödinger equation; Numerical examples

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Zentralblatt MATH Berlin [Germany]