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Legendre multi-projection methods for solving eigenvalue problems for a compact integral operator

✍ Scribed by Bijaya Laxmi Panigrahi; Guangqing Long; Gnaneshwar Nelakanti

Book ID
119211366
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
293 KB
Volume
239
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES

Superconvergence of Legendre projection
Superconvergence of Legendre projection methods for the eigenvalue problem of a compact integral operator
✍ Bijaya Laxmi Panigrahi; Gnaneshwar Nelakanti πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 277 KB

In this paper, we consider the Galerkin and collocation methods for the eigenvalue problem of a compact integral operator with a smooth kernel using the Legendre polynomials of degree ≀ n. We prove that the error bounds for eigenvalues are of the order O(n -2r ) and the gap between the spectral subs