Superconvergence Points of Spectral Interpolation
Numerical Analysis
2012-04-27 v1
Abstract
In this work, we study superconvergence properties for some high-order orthogonal polynomial interpolations.The results are two-folds: When interpolating function values, we identify those points where the first and second derivatives of the interpolant converge faster;When interpolating the first derivative,we locate those points where the function value of the interpolant superconverges. For the earlier case, we use various Chebyshev polynomials; and for the later case,we also include the counterpart Legendre polynomials.
Cite
@article{arxiv.1204.5813,
title = {Superconvergence Points of Spectral Interpolation},
author = {Zhimin Zhang},
journal= {arXiv preprint arXiv:1204.5813},
year = {2012}
}