Error bounds for interpolation with piecewise exponential splines of order two and four
Numerical Analysis
2020-10-08 v1 Numerical Analysis
Abstract
Explicit pointwise error bounds for the interpolation of a smooth function by piecewise exponential splines of order four are given. Estimates known for cubic splines are extended to a natural class of piecewise exponential splines which are appearing in the construction of multivariate polysplines. The error estimates are derived in an inductive way using error estimates for the interpolation of a smooth function by exponential splines of order two.
Cite
@article{arxiv.2010.03355,
title = {Error bounds for interpolation with piecewise exponential splines of order two and four},
author = {Ognyan Kounchev and Hermann Render},
journal= {arXiv preprint arXiv:2010.03355},
year = {2020}
}
Comments
40 pages, 8 figures