On the product integration method for solving singular integral equations in scattering theory

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(89)90077-0 ◽

1989 ◽

Vol 25 (1) ◽

pp. 79-92 ◽

Author(s):

B. Bertram

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Scattering Theory ◽

Integration Method ◽

Singular Integral Equations ◽

Product Integration ◽

Product Integration Method

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A Product Integration Approach Based on New Orthogonal Polynomials for Nonlinear Weakly Singular Integral Equations

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9351-y ◽

2008 ◽

Vol 109 (3) ◽

pp. 861-873 ◽

Author(s):

M. Rasty ◽

M. Hadizadeh

Keyword(s):

Orthogonal Polynomials ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Integration Approach ◽

Weakly Singular Integral Equations

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Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.11.031 ◽

2010 ◽

Vol 233 (11) ◽

pp. 2855-2866 ◽

Author(s):

C. Allouch ◽

P. Sablonnière ◽

D. Sbibih ◽

M. Tahrichi

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Integration Methods ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

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Convergence analysis of the product integration method for solving the fourth kind integral equations with weakly singular kernels

Numerical Algorithms ◽

10.1007/s11075-020-00877-x ◽

2020 ◽

Vol 86 (1) ◽

pp. 25-54

Author(s):

Sayed Arsalan Sajjadi ◽

Saeed Pishbin

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Integration Method ◽

Product Integration ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Product Integration Method ◽

Singular Kernels ◽

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Product Integration for Singular Integrals and Singular Integral Equations

Numerische Integration - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique ◽

10.1007/978-3-0348-6288-2_23 ◽

1979 ◽

pp. 288-300 ◽

Author(s):

Alastair Spence

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integrals ◽

Singular Integral Equations ◽

Product Integration

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Numerical implementation of a Brakhage-like technique for weakly singular integral equations using product integration

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90069-8 ◽

1993 ◽

Vol 26 (5) ◽

pp. 21-26 ◽

Author(s):

B. Bertram

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Numerical Implementation ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

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A note on the convergence of product integration and Galerkin method for weakly singular integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00108-8 ◽

1997 ◽

Vol 85 (1) ◽

pp. 11-18 ◽

Author(s):

Paola Baratella

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

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Moment methods for solving singular integral equations in scattering theory

Nuclear Physics A ◽

10.1016/0375-9474(73)90774-4 ◽

1973 ◽

Vol 211 (1) ◽

pp. 211-220 ◽

Author(s):

T.A. Osborn

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Scattering Theory ◽

Singular Integral Equations ◽

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The numerical solution of weakly singular integral equations based on the meshless product integration (MPI) method with error analysis

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.02.013 ◽

2014 ◽

Vol 81 ◽

pp. 76-93 ◽

Author(s):

Pouria Assari ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Error Analysis ◽

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

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Product integration for weakly singular integral equations

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0595053-0 ◽

1981 ◽

Vol 36 (153) ◽

pp. 207-207 ◽

Author(s):

Claus Schneider

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

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Superconvergent product integration method for Hammerstein integral equations

Journal of Integral Equations and Applications ◽

10.1216/jie-2019-31-1-1 ◽

2019 ◽

Vol 31 (1) ◽

pp. 1-28 ◽

Author(s):

C. Allouch ◽

D. Sbibih ◽

M. Tahrichi

Keyword(s):

Integral Equations ◽

Integration Method ◽

Product Integration ◽

Hammerstein Integral Equations ◽

Product Integration Method

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