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A method for the numerical solution of singular integral equations with a principal value integral - MaRDI portal

A method for the numerical solution of singular integral equations with a principal value integral (Q1160016)

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scientific article; zbMATH DE number 3748543
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English
A method for the numerical solution of singular integral equations with a principal value integral
scientific article; zbMATH DE number 3748543

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    A method for the numerical solution of singular integral equations with a principal value integral (English)
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    1981
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    singular behavior of unknown function
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    explicitly built into solution using index theorem
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    integral equation replaced by integral relations at discrete set of points
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    integrand approximated by piecewise linear functions
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    integration in closed form
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    reduced to system of linear algebraic equations
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    compared with procedures based on Gauss-Chebyshev and Lobatto-Chebyshev quadrature formulae
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