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Richardson Extrapolation of Iterated Discrete Galerkin Method for Eigenvalue Problem of a Two Dimensional Compact Integral Operator

โœ Scribed by Bijaya Laxmi Panigrahi; Gnaneshwar Nelakanti


Book ID
113071784
Publisher
Springer US
Year
2011
Tongue
English
Weight
841 KB
Volume
51
Category
Article
ISSN
0885-7474

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Superconvergence of Legendre projection
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