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On some aspects of multivariate polynomial interpolation
Authors:A. Le Méhauté
Affiliation:(1) Département de Mathématiques, Université de Nantes, Faculté des Sciences et des Techniques, 2 rue de la Houssinière, B.P. 92208, F-44322 Nantes Cedex 03, France E-mail:
Abstract:
The purpose of this paper is to present some aspects of multivariate Hermite polynomial interpolation. We do not focus on algebraic considerations, combinatoric and geometric aspects, but on explicitation of formulas for uniform and non-uniform bivariate interpolation and some higher dimensional problems. The concepts of similar and equivalent interpolation schemes are introduced and some differential aspects related to them are also investigated. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:Hermite interpolation  multivariate interpolation  Lagrange formula  Newton formula  Aitken-type algorithm  Abel interpolation
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