Summary
Approximate solutions of the linear integral equation eigenvalue problem can be obtained by the replacement of the integral by a numerical quadrature formula and then collocation to obtain a linear algebraic eigenvalue problem. This method is often called the Nyström method and its convergence was discussed in [7]. In this paper computable error bounds and dominant error terms are derived for the approximation of simple eigenvalues of nonsymmetric kernels.
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Spence, A. Error bounds and estimates for eigenvalues of integral equations. Numer. Math. 29, 133–147 (1978). https://doi.org/10.1007/BF01390333
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DOI: https://doi.org/10.1007/BF01390333