Year: 2006
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 361–370
Abstract
In this paper, we study numerical approximations of eigenvalues when using projection method for spectral approximations of completely continuous operators. We improve the theory depending on the ascent of $T - \mu$ and provide a new approach for error estimate, which depends only on the ascent of $T_h - \mu_h$. Applying this estimator to the integral operator eigenvalue problems, we obtain asymptotically exact indicators. Numerical experiments are provided to support our theoretical conclusions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-IJNAM-907
International Journal of Numerical Analysis and Modeling, Vol. 3 (2006), Iss. 3 : pp. 361–370
Published online: 2006-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: completely continuous operators projection method eigenvalues a posteriori error estimates.