A spectral collocation method for eigenvalue problems of compact integral operators
نویسندگان
چکیده
منابع مشابه
A Spectral Collocation Method for Eigenvalue Problems of Compact Integral Operators
We propose and analyze a new spectral collocation method to solve eigenvalue problems of compact integral operators, particularly, piecewise smooth operator kernels and weakly singular operator kernels of the form 1 |t−s|μ , 0 < μ < 1. We prove that the convergence rate of eigenvalue approximation depends upon the smoothness of the corresponding eigenfunctions for piecewise smooth kernels. On t...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2013
ISSN: 0897-3962
DOI: 10.1216/jie-2013-25-1-79