A recursive method for computing interpolants |
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Authors: | D Barrera D Sbibih A Serghini A Tijini |
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Institution: | 1. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Campus Universitario de Fuentenueva s/n, 18071 Granada, Spain;2. University Mohammed I, ESTO, MATSI Laboratory, Oujda, Morocco |
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Abstract: | In this paper, we describe a recursive method for computing interpolants defined in a space spanned by a finite number of continuous functions in Rd. We apply this method to construct several interpolants such as spline interpolants, tensor product interpolants and multivariate polynomial interpolants. We also give a simple algorithm for solving a multivariate polynomial interpolation problem and constructing the minimal interpolation space for a given finite set of interpolation points. |
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Keywords: | 41A05 41A25 41A50 65D05 |
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