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Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions - MaRDI portal

Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions (Q1576448)

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scientific article; zbMATH DE number 1491249
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Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions
scientific article; zbMATH DE number 1491249

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    Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions (English)
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    1 August 2001
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    The authors consider an enlarged interpolation problem by bivariate polynomials on a Newton basis. It consists to add some asymptotic conditions to the usual interpolation conditions; these are conditions on the values of the polynomials and on their directional derivatives at prescribed points. The interpolation formula is obtained and illustrated by some particular cases.
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    bivariate Hermite-Birkhoff polynomial interpolation
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    bivariate splines
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    asymptotic conditions
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