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D. A. Murio, C. E. Mejia and S. Zhan, “Discrete Molification and Automatic Numerical Differentiation," Computers and Mathematics Application, Vol. 35, No. 5, 1998, pp. 1-16. doi:10.1016/S0898-1221(98)00001-7

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.