Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631797 | Applied Mathematics and Computation | 2010 | 11 Pages |
Abstract
In this paper, a discrete multi-projection method is developed for solving the eigenvalue problem of a compact integral operator with a smooth kernel. We propose a theoretical framework for analysis of the convergence of these methods. The theory is then applied to establish super-convergence results of the corresponding discrete Galerkin method, collocation method and their iterated solutions. Numerical examples are presented to illustrate the theoretical estimates for the error of these methods.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guangqing Long, Gnaneshwar Nelakanti, Bijaya Laxmi Panigrahi, Mitali Madhumita Sahani,