The numerical solution of Cauchy singular integral equations with application to fracture

Russell D. Kurtz; Thomas N. Farris; C. T. Sun

doi:10.1007/bf00020079

The numerical solution of Cauchy singular integral equations with application to fracture

International Journal of Fracture ◽

10.1007/bf00020079 ◽

1994 ◽

Vol 66 (2) ◽

pp. 139-154 ◽

Cited By ~ 17

Author(s):

Russell D. Kurtz ◽

Thomas N. Farris ◽

C. T. Sun

Keyword(s):

Numerical Solution ◽

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 ◽

Cited By ~ 1

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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Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(96)00128-8 ◽

1997 ◽

Vol 77 (1-2) ◽

pp. 201-237 ◽

Cited By ~ 23

Author(s):

Peter Junghanns ◽

Uwe Luther

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Continuous Functions ◽

Spaces Of Continuous Functions ◽

Cauchy Singular Integral

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Numerical solution of Cauchy singular integral equations of the first kind with index V=1

Journal of Mathematical and Computational Science ◽

10.28919/jmcs/6635 ◽

2022 ◽

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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Numerical solution of systems of Cauchy singular integral equations with constant coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.08.022 ◽

2012 ◽

Vol 219 (4) ◽

pp. 1391-1410 ◽

Cited By ~ 8

Author(s):

Maria Carmela De Bonis ◽

Concetta Laurita

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Constant Coefficients ◽

Cauchy Singular Integral

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Introduction to the Numerical Solution of Cauchy Singular Integral Equations

Numerical Solution of Integral Equations ◽

10.1007/978-1-4899-2593-0_5 ◽

1990 ◽

pp. 183-308 ◽

Cited By ~ 10

Author(s):

M. A. Golberg

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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On the numerical solution of Cauchy singular integral equations in neutron transport

Annals of Nuclear Energy ◽

10.1016/j.anucene.2008.05.007 ◽

2008 ◽

Vol 35 (10) ◽

pp. 1800-1804 ◽

Cited By ~ 8

Author(s):

N. Mohankumar ◽

A. Natarajan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Neutron Transport ◽

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 ◽

Cited By ~ 7

Author(s):

A. S. Peters

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Singular Integral

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Numerical solution of singular integral equations via initial value methods

Applied Mathematics and Computation ◽

10.1016/0096-3003(86)90015-9 ◽

1986 ◽

Vol 18 (3) ◽

pp. 211-222

Author(s):

Mohan K. Kadalbajoo

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Initial Value

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The Numerical Solution of Singular Integral Equations over $( - 1,1)$

SIAM Journal on Numerical Analysis ◽

10.1137/0716009 ◽

1979 ◽

Vol 16 (1) ◽

pp. 115-134 ◽

Cited By ~ 36

Author(s):

M. L. Dow ◽

David Elliott

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations

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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 ◽

The Stability

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