On Polyharmonic Interpolation
Numerical Analysis
2008-10-01 v1 Functional Analysis
Abstract
In the present paper we will introduce a new approach to multivariate interpolation by employing polyharmonic functions as interpolants, i.e. by solutions of higher order elliptic equations. We assume that the data arise from or analytic functions in the ball We prove two main results on the interpolation of or analytic functions in the ball by polyharmonic functions of a given order of polyharmonicity
Keywords
Cite
@article{arxiv.0809.5159,
title = {On Polyharmonic Interpolation},
author = {Werner Haussmann and Ognyan Kounchev},
journal= {arXiv preprint arXiv:0809.5159},
year = {2008}
}