A quadrature method for constant-coefficient Cauchy singular integral equations on an interval. 6 (Q2702930)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quadrature method for constant-coefficient Cauchy singular integral equations on an interval. 6 |
scientific article |
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7 October 2001
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constant-coefficient Cauchy singular integral equations
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quadrature method
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convergence
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stability
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noncompact perturbation analysis
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numerical examples
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A quadrature method for constant-coefficient Cauchy singular integral equations on an interval. 6 (English)
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A numerical solution of quadrature-type, for constant-coefficient Cauchy singular integral equations of index zero is constructed. The author replaces the original integral equation with a mesh graded integral equation and proposes a modified version of the quadrature method introduced by \textit{S. Prössdorf} and \textit{A. Rathsfeld} [Oper. Theory, Adv. and Appl. 41, 435-471 (1989; Zbl 0724.65129)]. The author used the trapezoidal rule instead of the Simpson rule. The order of the convergence can be arbitrarily high if the order of mesh grading is high enough. Numerical examples are performed.
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