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Second order parallel algorithms for piecewise smooth displacement kernels - MaRDI portal

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Second order parallel algorithms for piecewise smooth displacement kernels (Q1187751)

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scientific article; zbMATH DE number 39664
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English
Second order parallel algorithms for piecewise smooth displacement kernels
scientific article; zbMATH DE number 39664

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    Second order parallel algorithms for piecewise smooth displacement kernels (English)
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    23 July 1992
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    The authors derive two second order parallel algorithms for solving Fredholm integral equations with piecewise smooth displacement kernels. The first one is based on a difference scheme of Runge-Kutta type for an unusual partial differential equation for continuous functions of two variables. The second one is based on the trapezoidal quadrature rule applied to a modified integral equation. It is found that the Runge-Kutta type algorithm exhibits certain advantages.
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    quadrature formula method
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    parallel algorithms
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    Fredholm integral equations
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    piecewise smooth displacement kernels
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    difference scheme
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    Runge-Kutta type algorithm
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