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Discrete multi-projection methods for eigen-problems of compact integral operators

✍ Scribed by Guangqing Long; Gnaneshwar Nelakanti; Bijaya Laxmi Panigrahi; Mitali Madhumita Sahani

Book ID
108051924
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
245 KB
Volume
217
Category
Article
ISSN
0096-3003

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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