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Bivariate Hermite Interpolation and Numerical Curves

✍ Scribed by Hovik V Gevorgian; Hakop A Hakopian; Artur A Sahakian

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
678 KB
Volume
85
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper, Hermite interpolation by bivariate algebraic polynomials of total degree n is considered. The interpolation parameters are the values of a function and its partial derivatives up to some order n & &1 at the nodes z & =(x & , y & ), &=1, ..., s, where n & is the multiplicity of z & . The sequence N=[n 1 , ..., n s ; n] of multiplicities associated with the degree of interpolating polynomials is investigated. Some results of the paper were announced in [GHS93].

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