Two general procedures for computing eigenvalues and error estimates in Sturm-Liouville problems based upon the shooting technique are considered. The proposed methods have a low computational cost and the error estimates can be employed to improve the approximations obtained for the eigenvalues. Some numerical experiments on regular and singular endpoints problems are presented.
Improved shooting technique for numerical computations of eigenvalues in Sturm-Liouville problems
GHELARDONI, PAOLO;GHERI, GIOVANNI
2001-01-01
Abstract
Two general procedures for computing eigenvalues and error estimates in Sturm-Liouville problems based upon the shooting technique are considered. The proposed methods have a low computational cost and the error estimates can be employed to improve the approximations obtained for the eigenvalues. Some numerical experiments on regular and singular endpoints problems are presented.File in questo prodotto:
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