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Discrete multi-projection methods for eigen-problems of compact integral operators |
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| Authors: | Guangqing Long Gnaneshwar Nelakanti |
| Institution: | a Department of Mathematics, Guangxi Normal College, Nanning 530001, PR China b Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, PR China c Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India |
| 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: | Super-convergence rates Discrete projection methods Eigenvalue problems |
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