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D. A. Murio, “Automatic Numerical Differentiation by Discrete Molification,” Computers and Mathematics with Applications, Vol. 13, No. 4, 1987, pp. 381-386. doi:10.1016/0898-1221(87)90006-X

has been cited by the following article:

• TITLE: Fourier Truncation Method for Fractional Numerical Differentiation

  AUTHORS: Ailin Qian, Jianfeng Mao

  KEYWORDS: Inverse Problems, Ill-Posed Problem, Fractional Numerical Differentiation, Fourier Regularization, Error Estimate

  JOURNAL NAME: Applied Mathematics, Vol.2 No.7, July 15, 2011

  ABSTRACT: We consider a ill-posed problem-fractional numerical differentiation with a new method. We propose Fourier truncation method to compute fractional numerical derivatives. A Holder-type stability estimate is obtained. A numerical implementation is described. Numerical examples show that the proposed method is effective and stable.