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Integral Methods in Science and Engineering || Superconvergence of Projection Methods for Weakly Singular Integral Operators

✍ Scribed by Constanda, C.; Potapenko, S.


Book ID
118000496
Publisher
Birkhäuser Boston
Year
2008
Weight
222 KB
Category
Article
ISBN
0817646701

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Superconvergence of Legendre projection
✍ Bijaya Laxmi Panigrahi; Gnaneshwar Nelakanti 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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