ERROR ANALYSIS IN THE APPROXIMATION OF STURM-LIOUVILLE SPECTRAL DENSITY-FUNCTIONS

Authors
PRUESS S FULTON CT
Citation
S. Pruess et Ct. Fulton, ERROR ANALYSIS IN THE APPROXIMATION OF STURM-LIOUVILLE SPECTRAL DENSITY-FUNCTIONS, Journal of mathematical analysis and applications, 203(2), 1996, pp. 518-539
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
203
Issue
2
Year of publication
1996
Pages
518 - 539
Database
ISI
SICI code
0022-247X(1996)203:2<518:EAITAO>2.0.ZU;2-A
Abstract
As one of its options the software package SLEDGE estimates Sturm-Liou ville spectral density functions for problems having continuous spectr um. This paper contains the error analysis underlying SLEDGE's approxi mations: error bounds, Richardson's extrapolation, and stability analy sis. Several alternate interpolation schemes are introduced and analyz ed. An improvement to SLEDGE is suggested and tested. (C) 1996 Academi c Press, Inc.