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On solving singular integral equations via a hyperbolic tangent quadrature rule

Author: Ezio Venturino
Journal: Math. Comp. 47 (1986), 159-167
MSC: Primary 65R20; Secondary 45E05
MathSciNet review: 842128
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Abstract: We propose a scheme for solving singular integral equations based on a "hyperbolic tangent" quadrature rule. The integral equation is reduced to a system of linear equations, after quadrature and collocation. The matrix of the system is shown to be nonsingular for every choice of the number of quadrature nodes by producing a lower bound for its determinant.

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Article copyright: © Copyright 1986 American Mathematical Society

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