Sinc-Nystrom Method for Numerical Solution of One-Dimensional Cauchy Singular Integral Equation Given on a Smooth Arc in the Complex Plane

Author(s):

Bernard Bialecki ◽

Frank Stenger

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Complex Plane ◽

Singular Integral ◽

Nyström Method ◽

One Dimensional ◽

Nystrom Method ◽

Sinc-Nyström method for numerical solution of one-dimensional Cauchy singular integral equation given on a smooth arc in the complex plane

Mathematics of Computation ◽

10.1090/s0025-5718-1988-0942147-x ◽

1988 ◽

Vol 51 (183) ◽

pp. 133-133

Author(s):

Bernard Bialecki ◽

Frank Stenger

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Complex Plane ◽

Singular Integral ◽

Nyström Method ◽

One Dimensional ◽

Nystrom Method ◽

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

A comparison of numerical algorithms for solving cauchy singular integral equation

Transport Theory and Statistical Physics ◽

10.1080/00411459108203908 ◽

1991 ◽

Vol 20 (4) ◽

pp. 307-323 ◽

Cited By ~ 4

Author(s):

N. Mohankumar ◽

A. Natarajan ◽

D. V. Gopinath

Keyword(s):

Integral Equation ◽

Singular Integral ◽

Numerical Algorithms ◽

The High Accuracy Algorithm for Cauchy Singular Integral and Cauchy Singular Integral Equation

2010 4th International Conference on Bioinformatics and Biomedical Engineering ◽

10.1109/icbbe.2010.5516242 ◽

2010 ◽

Author(s):

Guang Zeng ◽

Jin Huang ◽

Hong-yan Jia

Keyword(s):

Integral Equation ◽

Singular Integral ◽

High Accuracy ◽

On numerical methods of solving the Cauchy singular integral equation

Applied Mathematics Letters ◽

10.1016/0893-9659(89)90067-0 ◽

1989 ◽

Vol 2 (3) ◽

pp. 267-271 ◽

Author(s):

R.P. Srivastav ◽

Fenggang Zhang

Keyword(s):

Integral Equation ◽

Numerical Methods ◽

Singular Integral ◽

A Numerical Algorithm for Solving the Cauchy Singular Integral Equation Based on Hermite Polynomials

Hacettepe Journal of Mathematics and Statistics ◽

10.15672/hujms.474938 ◽

2019 ◽

pp. 1-10

Author(s):

Behrouz Parsa Moghaddam ◽

J. A. Tenreiro Machado ◽

Parisa Sattari Shajari ◽

Zeynab Salamat Mostaghim

Keyword(s):

Integral Equation ◽

Numerical Algorithm ◽

Singular Integral ◽

Hermite Polynomials ◽

Uniform Convergence Estimates for a Collocation Method for the Cauchy Singular Integral Equation

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181075986 ◽

1997 ◽

Vol 9 (1) ◽

pp. 21-45 ◽

Cited By ~ 7

Author(s):

M.R. Capobianco ◽

M.G. Russo

Keyword(s):

Integral Equation ◽

Uniform Convergence ◽

Collocation Method ◽

Singular Integral ◽

Convergence Estimates ◽

Key Engineering Materials - Progresses in Fracture and Strength of Materials and Structures ◽

Analysis of Fretting Problems Using a Numerical Method Based on Cauchy Singular Integral Equation

10.4028/0-87849-456-1.817 ◽

2007 ◽

pp. 817-822

Author(s):

Choon Yeol Lee ◽

Li Si Tian ◽

Joon Woo Bae ◽

Young Suck Chai

Keyword(s):

Integral Equation ◽

Numerical Method ◽

Singular Integral ◽

Discrete Collocation for a First Kind Cauchy Singular Integral Equation with Weakly Singular Solution

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181076029 ◽

1997 ◽

Vol 9 (4) ◽

pp. 341-377 ◽

Cited By ~ 3

Author(s):

Heinrich N. Mülthei ◽

Claus Schneider

Keyword(s):

Integral Equation ◽

Singular Integral ◽

Singular Solution ◽

Weakly Singular ◽

Cauchy singular integral equation method for transient antiplane dynamic problems

Engineering Fracture Mechanics ◽

10.1016/0013-7944(95)00204-9 ◽

1996 ◽

Vol 54 (2) ◽

pp. 177-187 ◽

Cited By ~ 8

Author(s):

Chen Weijiang ◽

Tang Renji

Keyword(s):

Integral Equation ◽

Singular Integral ◽

Integral Equation Method ◽

Equation Method ◽

Dynamic Problems ◽