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Bruno, O. and Hoch, D. (2012) Numerical Differentiation of Approximated Functions with Limited Order-of-Accuracy Deterioration. SIAM Journal on Numerical Analysis, 50, 1581-1603.
https://doi.org/10.1137/100805807

has been cited by the following article:

• TITLE: The Ill-Posedness of Derivative Interpolation and Regularized Derivative Interpolation for Non-Bandlimited Functions

  AUTHORS: Weidong Chen

  KEYWORDS: Nonband-Limited Function, Derivative Interpolation, Ill-Posedness, Regularization

  JOURNAL NAME: Applied Mathematics, Vol.13 No.1, January 26, 2022

  ABSTRACT: In this paper, the ill-posedness of derivative interpolation is discussed, and a regularized derivative interpolation for non-bandlimited signals is presented. The convergence of the regularized derivative interpolation is studied. The numerical results are given and compared with derivative interpolation using the Tikhonov regularization method. The regularized derivative interpolation in this paper is more accurate in computation.