ACCURATE HIGH-LYING EIGENVALUES OF SCHRODINGER AND STURM-LIOUVILLE PROBLEMS

Citation
G. Vandenberghe et al., ACCURATE HIGH-LYING EIGENVALUES OF SCHRODINGER AND STURM-LIOUVILLE PROBLEMS, Physics letters. A, 193(4), 1994, pp. 341-347
Citations number
22
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
193
Issue
4
Year of publication
1994
Pages
341 - 347
Database
ISI
SICI code
0375-9601(1994)193:4<341:AHEOSA>2.0.ZU;2-5
Abstract
A modified difference and a Numerov-like scheme have been introduced i n a shooting algorithm for the determination of the (higher-lying) eig envalues of Schrodinger equations and Sturm-Liouville problems. Some n umerical experiments are introduced. Time measurements have been perfo rmed. The proposed algorithms are compared with other previously intro duced shooting schemes. The structure of the eigenvalue error is discu ssed.