2012/04/26 by Zhimin Zhang, Zhang, Zhimin
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1204.5813
openalex publication_date 2012/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.