Numerical solution of integral equations with finite part integrals

We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.

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On the numerical solution of the finite-part singular integral equations of the first and the second kind used in fracture mechanics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(87)90159-9 ◽

1987 ◽

Vol 65 (3) ◽

pp. 253-266 ◽

Cited By ~ 16

Author(s):

E.G. Ladopoulos

Keyword(s):

Fracture Mechanics ◽

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Finite Part

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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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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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A method of numerical solution of cauchy-type singular integral equations with generalized kernels and arbitrary complex singularities

Journal of Computational Physics ◽

10.1016/0021-9991(79)90117-7 ◽

1979 ◽

Vol 30 (3) ◽

pp. 309-323 ◽

Cited By ~ 26

Author(s):

Pericles S Theocaris ◽

Nikolaos I Ioakimidis

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Cauchy Type ◽

Complex Singularities ◽

Arbitrary Complex

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Numerical Solution of Singular Integral Equations and an Application to the Theory of Jet-Flapped Wings

Constructive Methods for the Practical Treatment of Integral Equations ◽

10.1007/978-3-0348-9317-6_17 ◽

1985 ◽

pp. 201-210

Author(s):

Frieder Kuhnert ◽

Rolf Haftmann

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations

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A method for the numerical solution of singular integral equations with a principal value integral

International Journal of Engineering Science ◽

10.1016/0020-7225(81)90148-8 ◽

1981 ◽

Vol 19 (9) ◽

pp. 1293-1298 ◽

Cited By ~ 26

Author(s):

A. Gerasoulis ◽

R.P. Srivastav

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Principal Value

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Numerical solution of integro-differential and singular integral equations for plate bending problems

Journal of Elasticity ◽

10.1007/bf00135175 ◽

1976 ◽

Vol 6 (1) ◽

pp. 39-56 ◽

Cited By ~ 38

Author(s):

Erik B. Hansen

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Plate Bending ◽

Bending Problems

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Finite-Part Singular Integral Equations in Elasticity and Fracture Mechanics

Singular Integral Equations ◽

10.1007/978-3-662-04291-5_3 ◽

2000 ◽

pp. 133-171

Author(s):

E. G. Ladopoulos

Keyword(s):

Fracture Mechanics ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Finite Part

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A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11467-y ◽

2017 ◽

Vol 132 (5) ◽

Cited By ~ 21

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Singular Integral ◽

Meshless Method ◽

Singular Integral Equations ◽

Basis Functions ◽

Weakly Singular ◽

Radial Basis ◽

Weakly Singular Integral Equations

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