Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642414 | Journal of Computational and Applied Mathematics | 2008 | 20 Pages |
Abstract
A generalization is given for a characterization of the spectral density function of Weyl and Titchmarsh for a singular Sturm–Liouville problem having absolutely continuous spectrum in [0,∞)[0,∞). A recurrent formulation is derived that generates a family of approximations based on this scheme. Proofs of convergence for these new approximations are supplied and a numerical method is implemented. The computational results show more rapid rates of convergence which are in accord with the theoretical rates.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Charles Fulton, David Pearson, Steven Pruess,