Research Article
Oct 1981
Numerical Solution of Singular Integral Equations: Applications
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 107, Issue 5
Abstract
A large variety of boundary-type problems of mathematical physics are investigated, with the results of the investigation summarized; a table is provided as a user manual to engineers familiar in solving boundary-value problems with the aid of the integral equations technique. The methods for the numerical solution of one-dimensional singular integral equations developed previously by a large number of investigators are exact for integrands which are polynomials of degree up to 2n-1 and not n-1, as it was believed. In general, the Lobatto-type methods of numerical solution of Cauchy-type singular integral equations are shown to be very convenient for the calculations arising in plane elasticity problems. The Gauss-, Radau- and Lobatto-type numerical integration rules are, in general, the best rules to be used for the numerical solution of Cauchy-type singular integral equations.
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Published In
Journal of the Engineering Mechanics Division
Volume 107 • Issue 5 • October 1981
Pages: 753 - 771
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© 1981 American Society of Civil Engineers.
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Published in print: Oct 1981
Published online: Feb 3, 2021
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Authors
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Pericles S. Theocaris
Prof., Chair of Mech. A', Athens National Technical Univ., 5 K. Zographou St., Zographou, Athens 624, Greece
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