On Exponential Convergence of Gegenbauer Interpolation and Spectral Differentiation
Numerical Analysis
2011-09-27 v1
Abstract
This paper is devoted to a rigorous analysis of exponential convergence of polynomial interpolation and spectral differentiation based on the Gegenbauer-Gauss and Gegenbauer-Gauss-Lobatto points, when the underlying function is analytic on and within an ellipse. Sharp error estimates in the maximum norm are derived.
Keywords
Cite
@article{arxiv.1109.5509,
title = {On Exponential Convergence of Gegenbauer Interpolation and Spectral Differentiation},
author = {Ziqing Xie and Li-Lian Wang and Xiaodan Zhao},
journal= {arXiv preprint arXiv:1109.5509},
year = {2011}
}
Comments
19 pages