A recursive method for computing interpolants
β Scribed by D. Barrera; D. Sbibih; A. Serghini; A. Tijini
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 590 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
In this paper, we describe a recursive method for computing interpolants defined in a space spanned by a finite number of continuous functions in R d . 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.
π SIMILAR VOLUMES
Based on the classical Hermite spline interpolant H 2n-1 , which is the piecewise interpolation polynomial of class C n-1 and degree 2n -1, a piecewise interpolation polynomial H 2n of degree 2n is given. The formulas for computing H 2n by H 2n-1 and computing H 2n+1 by H 2n are shown. Thus a simple
The set of sequences that satisfy some linear recurrence relation with constant coefficients is considered. Operations over this set are implemented in the computer algebra system Mathematica. For representing sequences several finite representations are provided together with functions which conver