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Integration of rational functions of bivariate polynomial numerators with linear denominators over a \((-1,1)\) square in a local parametric two-dimensional space - MaRDI portal

Integration of rational functions of bivariate polynomial numerators with linear denominators over a \((-1,1)\) square in a local parametric two-dimensional space (Q1808049)

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scientific article; zbMATH DE number 1372457
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English
Integration of rational functions of bivariate polynomial numerators with linear denominators over a \((-1,1)\) square in a local parametric two-dimensional space
scientific article; zbMATH DE number 1372457

    Statements

    Integration of rational functions of bivariate polynomial numerators with linear denominators over a \((-1,1)\) square in a local parametric two-dimensional space (English)
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    30 November 1999
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    The authors present two algorithms for computing integrals in question arising in finite element formulations of second-order partial differential equations. These algorithms are based on the analytical quadrature formulas associated with numerical integration. They can be easily implemented and leads to great time economy.
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    quadrature
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    rational functions
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    algorithms
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    finite element
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