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.
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Le Méhauté, A. On some aspects of multivariate polynomial interpolation. Advances in Computational Mathematics 12, 311–333 (2000). https://doi.org/10.1023/A:1018985606661
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DOI: https://doi.org/10.1023/A:1018985606661