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2019 Asymptotic expansions for approximate eigenvalues of integral operators with nonsmooth kernels of multiplicity $m>1$
Akshay S. Rane
J. Integral Equations Applications 31(3): 411-430 (2019). DOI: 10.1216/JIE-2019-31-3-411

Abstract

We consider an integral operator with a kernel of the Green's function type. We prove the existence of asymptotic expansion of an eigenvalue of multiplicity $m>1$, when the integral operator is approximated by the iterated Galerkin operator. This enables us to use the Richardson extrapolation to increase the order of convergence of the eigenvalue. We consider a numerical example to illustrate our theoretical results.

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Akshay S. Rane. "Asymptotic expansions for approximate eigenvalues of integral operators with nonsmooth kernels of multiplicity $m>1$." J. Integral Equations Applications 31 (3) 411 - 430, 2019. https://doi.org/10.1216/JIE-2019-31-3-411

Information

Published: 2019
First available in Project Euclid: 2 November 2019

zbMATH: 07159850
MathSciNet: MR4027254
Digital Object Identifier: 10.1216/JIE-2019-31-3-411

Subjects:
Primary: 45B05
Secondary: 65R20

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.31 • No. 3 • 2019
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