Spectral computation of highly oscillatory integral equations in laser theory

DOI10.1016/j.jcp.2019.06.045zbMath1452.65400OpenAlexW2951570981WikidataQ127641493 ScholiaQ127641493MaRDI QIDQ2222348

Marissa Condon, Jing Gao, Arieh Iserles

Publication date: 26 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.06.045

zbMATH Keywords

error functionasymptotic expansionhyperbolic cross approximationFox-Li integral equation of first kindmodified Fourier basis

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Eigenvalue problems for integral equations (45C05) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (2)

Numerical solutions for nonlinear Volterra-Fredholm integral equations of the second kind with a phase lag ⋮ Numerical analysis of the spectrum for the highly oscillatory integral equation with weak singularity

Uses Software

• Eigtool

Cites Work

• Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators
• Explicit upper bounds for the spectral distance of two trace class operators
• On the singular values and eigenvalues of the Fox-Li and related operators
• Properties of spectral expansions corresponding to non-self-adjoint differential operators.
• The computation of the spectra of highly oscillatory Fredholm integral operators
• From high oscillation to rapid approximation I: modified Fourier expansions
• The Numerical Solution of Integral Equations of the Second Kind
• Computing Highly Oscillatory Integrals
• The Fox–Li Operator as a Test and a Spur for Wiener–Hopf Theory
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