An Asymptotic Numerical Method for a Class of Singular Sturm–Liouville Problems
Authors:
- Steven PruessSPSteven Pruess
- Charles T. FultonCFCharles T. Fulton
- Yuantao XieYXYuantao Xie
- 1 October 1995
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 32 (5) , 1658-1676
Abstract
A class of Sturm–Liouville problems has been discovered for which the method of approximating the coefficients by piecewise constant functions has considerable difficulty. We characterize this class, give examples, and derive a modification of the method based on local asymptotic approximations which surmounts the difficulties.Keywords
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