A quasi-extrapolation procedure for error estimation of numerical methods in Sturm-Liouville eigenproblems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:164

Article; Proceedings Paper

Ghelardoni, P ; Gheri, G ; Marletta, M

关键词: shooting for eigenvalues;    boundary value methods;    Sturm-Liouville problems;   

DOI  :  10.1016/S0377-0427(03)00489-8

来源: Elsevier

【 摘 要 】

This paper deals with a generalization of a technique already proposed by the authors for obtaining an effective estimation of the spectral accuracy in some regular and non regular Sturm-Liouville problems. The algorithm looks like a classical extrapolation process, but, unlike such a procedure, it does not require further approximations of the eigenvalues with different stepsize: for this reason it benefits from a moderate computational cost. Numerical experiments confirm the effectiveness of the suggested approach. (C) 2003 Published by Elsevier B.V.

【 授权许可】

Free