An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123530 ◽

2020 ◽

Vol 482 (1) ◽

pp. 123530 ◽

Author(s):

Qi Wen ◽

Qungui Du

Keyword(s):

Numerical Method ◽

Contact Mechanics ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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Pairs of cauchy singular integral equations and the kernel [B(Z) +A(ζ)]/(Z - ζ)

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160250402 ◽

1972 ◽

Vol 25 (4) ◽

pp. 369-402 ◽

Author(s):

A. S. Peters

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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Sinc–Nyström Method for Numerical Solution of a Dominant System of Cauchy Singular Integral Equations Given on a Piecewise Smooth Contour

SIAM Journal on Numerical Analysis ◽

10.1137/0726067 ◽

1989 ◽

Vol 26 (5) ◽

pp. 1194-1211 ◽

Author(s):

Bernard Bialecki

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Piecewise Smooth ◽

Nyström Method ◽

Nystrom Method ◽

Smooth Contour ◽

Cauchy Singular Integral

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On the stability of collocation methods for Cauchy singular integral equations on an interval

Problems and Methods in Mathematical Physics ◽

10.1007/978-3-0348-8276-7_15 ◽

2001 ◽

pp. 261-277

Author(s):

Peter Junghanns ◽

Giuseppe Mastroianni

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Collocation Methods ◽

Cauchy Singular Integral ◽

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Quadrature Methods for Strongly Elliptic Cauchy Singular Integral Equations on an Interval

The Gohberg Anniversary Collection ◽

10.1007/978-3-0348-9144-8_41 ◽

1989 ◽

pp. 927-963

Author(s):

Siegfried Prössdorf ◽

Andreas Rathsfeld

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Quadrature Methods ◽

Cauchy Singular Integral

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Multiscale Solution of Cauchy Singular Integral Equations

Wavelet Based Approximation Schemes for Singular Integral Equations ◽

10.1201/9780429244070-6 ◽

2020 ◽

pp. 171-243

Author(s):

M M Panja ◽

B N Mandal

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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Justification of a Numerical Method for Solving Systems of Singular Integral Equations in Diffraction Grating Problems

Differential Equations ◽

10.1023/b:dieq.0000012697.36651.0d ◽

2003 ◽

Vol 39 (9) ◽

pp. 1295-1307 ◽

Author(s):

Yu. V. Gandel' ◽

T. S. Polyanskaya

Keyword(s):

Numerical Method ◽

Integral Equations ◽

Singular Integral ◽

Diffraction Grating ◽

Singular Integral Equations

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A collocation method for nonlinear Cauchy singular integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00117-x ◽

2000 ◽

Vol 115 (1-2) ◽

pp. 283-300 ◽

Author(s):

Peter Junghanns ◽

Katja Müller

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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Explicit solutions of Cauchy singular integral equations with weighted Carleman shift

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.04.050 ◽

2010 ◽

Vol 371 (1) ◽

pp. 128-133 ◽

Author(s):

L.P. Castro ◽

E.M. Rojas

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Explicit Solutions ◽

Carleman Shift ◽

Cauchy Singular Integral

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Piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind in L2

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.05.028 ◽

2017 ◽

Vol 326 ◽

pp. 268-272

Author(s):

Abdelaziz Mennouni

Keyword(s):

Galerkin Method ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Piecewise Constant ◽

Cauchy Singular Integral

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Application of approximating splines for the solution of Cauchy singular integral equations

Applied Numerical Mathematics ◽

10.1016/0168-9274(94)00024-7 ◽

1994 ◽

Vol 15 (2) ◽

pp. 285-297 ◽

Author(s):

Philip Rabinowitz

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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