On variable-step methods for the numerical solution of Schrodinger equation and related problems

Authors
Avdelas, G Simos, TE
Citation
G. Avdelas et Te. Simos, On variable-step methods for the numerical solution of Schrodinger equation and related problems, COMPUT CHEM, 25(1), 2001, pp. 3-13
Citations number
31
Categorie Soggetti
Chemistry
Journal title
COMPUTERS & CHEMISTRY
ISSN journal
00978485 → ACNP
Volume
25
Issue
1
Year of publication
2001
Pages
3 - 13
Database
ISI
SICI code
0097-8485(200101)25:1<3:OVMFTN>2.0.ZU;2-6
Abstract
In this paper we present a review for the construction of variable-step met hods for the numerical integration of the Schrodinger equation. Phase-lag a nd stability are investigated. The methods are variable-step because of a s imple natural error control mechanism. Numerical results obtained for coupl ed differential equations arising from the Schrodinger equation and for the wave equation show the validity of the approach presented. (C) 2001 Elsevi er Science Ltd. All rights reserved.