On asymptotic behavior at infinity and the finite section method for integral equations on the half-line

DOI10.1216/jiea/1181075789zbMath0809.45002OpenAlexW2057746742MaRDI QIDQ1339758

Simon N. Chandler-Wilde

Publication date: 8 December 1994

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075789

zbMATH Keywords

error boundsacousticsfinite section methodasymptotic behavior at infinityWiener-Hopf integral equationsHelmholtz equation in a halfplanenoncompact perturbations

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (6)

Existence of solution in elastic wave scattering by unbounded rough surfaces ⋮ Asymptotic behaviour at infinity of solutions of multidimensional second kind integral equations ⋮ Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line ⋮ On the stability and convergence of the finite section method for integral equation formulations of rough surface scattering ⋮ On the solvability of second kind integral equations on the real line ⋮ Solvability and spectral properties of integral equations on the real line. I: Weighted spaces of continuous functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounded continuous functions on a locally compact space
• Nonlinear integral equations on the half line
• Numerical analysis for integral and related operator equations.
• On the behaviour at infinity of solutions of integral equations on the real line
• Spectral approximations for Wiener-Hopf operators. II
• Numerical solutions of integral equations on the half line. I: The compact case
• Sound propagation above an inhomogeneous impedance plane
• The finite-section approximation for integral equations on the half-line
• Quadrature Methods for Integral Equations of the Second Kind Over Infinite Intervals
• Some uniform stability and convergence results for integral equations on the real line and projection methods for their solution
• The Numerical Solution of Integral Equations on the Half-Line
• Integral equations on a half-line with kernel depending upon the difference of the arguments

This page was built for publication: On asymptotic behavior at infinity and the finite section method for integral equations on the half-line