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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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On solving singular integral equations via a hyperbolic tangent quadrature rule
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by Ezio Venturino PDF
Math. Comp. 47 (1986), 159-167 Request permission

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.
References
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Math. Comp. 47 (1986), 159-167
  • MSC: Primary 65R20; Secondary 45E05
  • DOI: https://doi.org/10.1090/S0025-5718-1986-0842128-9
  • MathSciNet review: 842128