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On Lagrange and Hermite interpolation in \(R^k\). (English) Zbl 0457.65004

Summary: A method for the construction of a set of data of interpolation in several variables is given. The resulting data, which are either function values or directional derivatives values, give rise to a space of polynomials, in such a way that unisolvence is guaranteed. The interpolating polynomial is calculated using a procedure which generalizes the Newton divided differences formula for a single variable.
Reviewer: M. Gasca (Granada)

MSC:

65D05 Numerical interpolation
41A05 Interpolation in approximation theory
41A63 Multidimensional problems
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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References:

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