Bivariate Hermite Interpolation and Numerical Curves

In this paper, Hermite interpolation by bivariate algebraic polynomials of total degree ⩽nis considered. The interpolation parameters are the values of a function and its partial derivatives up to some ordernν−1 at the nodeszν=(xν, yν),ν=1, …, s, wherenνis the multiplicity ofzν. The sequence N={n1, ...

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Bibliographic Details
Published in:Journal of approximation theory 1996-06, Vol.85 (3), p.297-317
Main Authors: Gevorgian, Hovik V, Hakopian, Hakop A, Sahakian, Artur A
Format: Article
Language:English
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Summary:In this paper, Hermite interpolation by bivariate algebraic polynomials of total degree ⩽nis considered. The interpolation parameters are the values of a function and its partial derivatives up to some ordernν−1 at the nodeszν=(xν, yν),ν=1, …, s, wherenνis the multiplicity ofzν. The sequence N={n1, …, ns; n} of multiplicities associated with the degree of interpolating polynomials is investigated. Some results of the paper were announced in [GHS93].
ISSN:0021-9045
1096-0430
DOI:10.1006/jath.1996.0044