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4. Error bounds for polynomial tensor product interpolation.

Author

Mößner, Bernhard and Reif, Ulrich

Subjects
*ERRORS, *POLYNOMIALS, *INTERPOLATION, *APPROXIMATION theory, *GRID computing
Abstract

We provide estimates for the maximum error of polynomial tensor product interpolation on regular grids in $${\mathbb{R}^d}$$. The set of partial derivatives required to form these bounds depends on the clustering of interpolation nodes. Also bounds on the partial derivatives of the error are derived. [ABSTRACT FROM AUTHOR]

Published
2009
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