On the Solvability of Second Kind Integral Equations on the Real Line

Simon N. Chandler-Wilde; Bo Zhang; Chris R. Ross

doi:10.1006/jmaa.2000.6729

On the Solvability of Second Kind Integral Equations on the Real Line

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.6729 ◽

2000 ◽

Vol 245 (1) ◽

pp. 28-51 ◽

Cited By ~ 16

Author(s):

Simon N. Chandler-Wilde ◽

Bo Zhang ◽

Chris R. Ross

Keyword(s):

Integral Equations ◽

Real Line ◽

The Real

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One Class of Systems of Linear Fredholm Integral Equations of the Third Kind on the Real Line with Multipoint Singularities

Differential Equations ◽

10.1134/s00122661200100122 ◽

2020 ◽

Vol 56 (10) ◽

pp. 1363-1370

Author(s):

A. Asanov ◽

R. A. Asanov

Keyword(s):

Integral Equations ◽

Real Line ◽

Fredholm Integral Equations ◽

The Real ◽

The Third

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Some uniform stability and convergence results for integral equations on the real line and projection methods for their solution

IMA Journal of Numerical Analysis ◽

10.1093/imanum/13.4.509 ◽

1993 ◽

Vol 13 (4) ◽

pp. 509-535 ◽

Cited By ~ 9

Author(s):

S. N. CHANDLER-WILDE

Keyword(s):

Integral Equations ◽

Real Line ◽

Projection Methods ◽

Uniform Stability ◽

Stability And Convergence ◽

The Real ◽

Convergence Results

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Solvability and spectral properties of integral equations on the real line: I. Weighted spaces of continuous functions

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00159-2 ◽

2002 ◽

Vol 272 (1) ◽

pp. 276-302 ◽

Cited By ~ 7

Author(s):

Tilo Arens ◽

Simon N. Chandler-Wilde ◽

Kai O. Haseloh

Keyword(s):

Integral Equations ◽

Real Line ◽

Spectral Properties ◽

Continuous Functions ◽

Weighted Spaces ◽

The Real ◽

Spaces Of Continuous Functions

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A Nyström Method for a Class of Integral Equations on the Real Line with Applications to Scattering by Diffraction Gratings and Rough Surfaces

Journal of Integral Equations and Applications ◽

10.1216/jiea/1020282209 ◽

2000 ◽

Vol 12 (3) ◽

pp. 281-321 ◽

Cited By ~ 29

Author(s):

A. Meier ◽

T. Arens ◽

S.N. Chandler-Wilde ◽

A. Kirsch

Keyword(s):

Integral Equations ◽

Real Line ◽

Rough Surfaces ◽

Diffraction Gratings ◽

Nyström Method ◽

The Real ◽

Nystrom Method

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Numerical methods for some special Fredholm integral equations on the real line

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(03)00652-6 ◽

2004 ◽

Vol 164-165 ◽

pp. 225-243 ◽

Cited By ~ 3

Author(s):

M.C. De Bonis ◽

C. Frammartino ◽

G. Mastroianni

Keyword(s):

Numerical Methods ◽

Integral Equations ◽

Real Line ◽

Fredholm Integral Equations ◽

The Real

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Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.02.024 ◽

2004 ◽

Vol 294 (2) ◽

pp. 482-502 ◽

Cited By ~ 6

Author(s):

Dong Liang ◽

Bo Zhang

Keyword(s):

Numerical Analysis ◽

Integral Equations ◽

Real Line ◽

The Real ◽

Graded Mesh

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A fast two-grid and finite section method for a class of integral equations on the real line with application to an acoustic scattering problem in the half-plane

Numerische Mathematik ◽

10.1007/bf02679436 ◽

2002 ◽

Vol 93 (1) ◽

pp. 1-51 ◽

Cited By ~ 5

Author(s):

Simon N. Chandler-Wilde ◽

Mizanur Rahman ◽

C. R. Ross

Keyword(s):

Integral Equations ◽

Half Plane ◽

Real Line ◽

Scattering Problem ◽

Acoustic Scattering ◽

Section Method ◽

The Real ◽

Finite Section ◽

Finite Section Method

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A variational technique for the solution of the singular integral equations over the real line using enriched spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(89)90226-6 ◽

1989 ◽

Vol 139 (1) ◽

pp. 10-22

Author(s):

Michael A Driscoll ◽

Ezio Venturino

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Real Line ◽

Singular Integral Equations ◽

Variational Technique ◽

The Real

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Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line

Applicable Analysis ◽

10.1080/00036819508840397 ◽

1995 ◽

Vol 59 (1-4) ◽

pp. 163-184 ◽

Cited By ~ 4

Author(s):

Zuowei Shen ◽

Yuesheng Xut

Keyword(s):

Integral Equations ◽

Real Line ◽

Degenerate Kernel ◽

Nonlinear Integral Equations ◽

The Real

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Solvability and Spectral Properties of Integral Equations on the Real Line: II. $L^p$-Spaces and Applications

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181074943 ◽

2003 ◽

Vol 15 (1) ◽

pp. 1-35 ◽

Cited By ~ 13

Author(s):

Tilo Arens ◽

Simon N. Chandler-Wilde ◽

Kai O. Haseloh

Keyword(s):

Integral Equations ◽

Real Line ◽

Spectral Properties ◽

The Real

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