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Wavelet Galerkin method for eigenvalue problem of a compact integral operator

โœ Scribed by Bijaya Laxmi Panigrahi; Gnaneshwar Nelakanti

Book ID
113439606
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
241 KB
Volume
218
Category
Article
ISSN
0096-3003

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Superconvergence of Legendre projection
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โœ Bijaya Laxmi Panigrahi; Gnaneshwar Nelakanti ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โ‰ค n. We prove that the error bounds for eigenvalues are of the order O(n -2r ) and the gap between the spectral subs