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Review of multistep methods for the numerical solution of the radial Schrödinger equation
Author(s) -
VigoAguiar Jesús,
Simos T. E.
Publication year - 2005
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20495
Subject(s) - trigonometry , schrödinger equation , algebraic number , simple (philosophy) , resonance (particle physics) , bound state , quantum , trigonometric functions , numerical analysis , algebraic equation , mathematics , physics , mathematical analysis , quantum mechanics , geometry , philosophy , epistemology , nonlinear system
A review of multistep methods for the numerical solution of the Schrödinger equation is presented. Since the literature reports difficulties in the production of some of the Bettis–Cowell methods, we have included a simple way that permits production of these methods for any algebraic and trigonometric order. Numerical comparisons on resonance problems and bound‐states problems are also described. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005