The computation of the spectra of highly oscillatory Fredholm integral operators
From MaRDI portal
Publication:2427791
DOI10.1216/JIE-2011-23-4-467zbMath1238.65123MaRDI QIDQ2427791
Syvert P. Nørsett, Hermann Brunner, Arieh Iserles
Publication date: 18 April 2012
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1321885186
convergenceeigenvalueFourier expansionfast Fourier transformeigenfunctionspectraFox-Li operatorfinite section methodhighly oscillatoryFredholm integral operators
Numerical methods for integral equations (65R20) Integral operators (45P05) Eigenvalue problems for integral equations (45C05)
Related Items
First-order Trace Formulae for the Iterates of the Fox–Li Operator ⋮ On Volterra integral operators with highly oscillatory kernels ⋮ Numerical analysis of the spectrum for the highly oscillatory integral equation with weak singularity ⋮ Oscillation-preserving Legendre-Galerkin methods for second kind integral equations with highly oscillatory kernels ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ Spectral computation of highly oscillatory integral equations in laser theory ⋮ On the convergence rates of Legendre approximation ⋮ Multivariate Modified Fourier Expansions ⋮ Multivariate modified Fourier series and application to boundary value problems ⋮ Computing spectral measures and spectral types ⋮ The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels ⋮ On the infinite-dimensional QR algorithm ⋮ On the \(r\)-nuclearity of some integral operators on Lebesgue spaces ⋮ On the spectrum computation of non-oscillatory and highly oscillatory kernel with weak singularity
