A family of P-stable exponentially-fitted methods for the numerical solution of the Schrodinger equation

Authors
Citation
Te. Simos, A family of P-stable exponentially-fitted methods for the numerical solution of the Schrodinger equation, J MATH CHEM, 25(1), 1999, pp. 65-84
Citations number
37
Categorie Soggetti
Chemistry
Journal title
JOURNAL OF MATHEMATICAL CHEMISTRY
ISSN journal
02599791 → ACNP
Volume
25
Issue
1
Year of publication
1999
Pages
65 - 84
Database
ISI
SICI code
0259-9791(1999)25:1<65:AFOPEM>2.0.ZU;2-3
Abstract
A family of P-stable exponentially-fitted methods for the numerical solutio n of the Schrodinger equation is developed in this paper. An application to the resonance problem of the radial Schrodinger equation indicates that th e new method is generally more efficient than the previously developed expo nentially-fitted methods of the same kind.