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Numerical computation of integral of analytic functions in complex plane - MaRDI portal

Numerical computation of integral of analytic functions in complex plane (Q2224137)

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Numerical computation of integral of analytic functions in complex plane
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    Numerical computation of integral of analytic functions in complex plane (English)
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    3 February 2021
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    Summary: A family of interpolatory type of quadrature rules of degree of precision at least seven has been constructed for the approximate evaluation of contour integrals of analytic functions along a directed line segment in the complex plane. The relative accuracies of rules have been studied in their respective classes and also numerically verified by integrating some standard test integrals.
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    analytic functions
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    degree of precision
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    extrapolation
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    error bound
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    asymptotic error
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    quadrature rule
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    numerical integration
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    scientific-mathematical computation
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    complex planes
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    contour integrals
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