Abstract
Stenger's formula is adapted for singular integrals defined as Hadamard finite part. Convergence of the revised quadrature is studied. A scheme for solving singular integral equations with Hadamard finite part integrals is proposed, based on the revised hyperbolic tangent quadrature rule. The integral equation is reduced to a system of linear equations, by taking the same points as quadrature nodes and collocation points. The coefficient matrix of the system is shown to be nonsingular.
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