A new approach to numerical differentiation

DOI10.1016/j.cam.2009.06.001zbMath1175.65035OpenAlexW1991298540MaRDI QIDQ843125

Ze-Hong Meng, Guo-qiang He, Zhen-Yu Zhao

Publication date: 29 September 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.001

zbMATH Keywords

numerical examplesnumerical differentiationVolterra integral equationill-posed problemtruncated singular value decompositiondiscrete sine transformdifferentiation of perturbed functionsingular system of compact operator

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Numerical differentiation (65D25) Volterra integral equations (45D05)

Related Items (8)

A Fredholm integral operator for the differentiation problem ⋮ An FFT method for the numerical differentiation ⋮ Hermite spectral and pseudospectral methods for numerical differentiation ⋮ Numerical differentiation for periodic functions ⋮ Numerical differentiation for two-dimensional functions by a Fourier extension method ⋮ A new regularization approach for numerical differentiation ⋮ Filtered spectral differentiation method for numerical differentiation of periodic functions with application to heat flux estimation ⋮ Numerical differentiation by a Fourier extension method with super-order regularization

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• Abel integral equations. Analysis and applications
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• Resolution enhancement of spectra using differentiation
• New finite difference formulas for numerical differentiation

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