Numerical differentiation by integration

DOI10.1090/S0025-5718-2013-02722-6zbMath1298.65035OpenAlexW2008608135MaRDI QIDQ2871184

Xiaowei Huang, Jun Zhou, Chuansheng Wu

Publication date: 22 January 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02722-6

zbMATH Keywords

convergencenumerical examplenumerical differentiationill-posed problemsintegral methodregularization parameterpseudo-derivative

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items (4)

An FFT method for the numerical differentiation ⋮ Maximal generalization of Lanczos' derivative using one-dimensional integrals ⋮ A novel edge detection method based on the regularized Laplacian operation ⋮ HIGHER ACCURACY ORDER IN DIFFERENTIATION-BY-INTEGRATION

Cites Work

• Finite difference methods for the numerical differentiation of non-exact data
• A new approach to numerical differentiation and integration
• Lanczos' generalized derivative: Insights and applications
• On stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Numerical differentiation from a viewpoint of regularization theory
• Differentiation of Approximately Specified Functions
• Lanczo's Generalized Derivative
• A numerical differentiation method and its application to reconstruction of discontinuity
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
• An introduction to the mathematical theory of inverse problems
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