Numerical differentiation for periodic functions

DOI10.1080/17415977.2010.492517zbMath1204.65025OpenAlexW2017034726MaRDI QIDQ3063843

Ze-Hong Meng, Zhen-Yu Zhao

Publication date: 15 December 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2010.492517

zbMATH Keywords

numerical examplesnumerical differentiationregularization methodill-posed problemtruncated singular value decompositiontruncated Fourier series

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical differentiation (65D25)

Related Items (4)

Hermite spectral and pseudospectral methods for numerical differentiation ⋮ Numerical differentiation for two-dimensional functions by a Fourier extension method ⋮ 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

Cites Work

• A new approach to numerical differentiation
• Fourier truncation method for high order numerical derivatives
• Discrete mollification and automatic numerical differentiation
• Abel integral equations. Analysis and applications
• On stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• The discrepancy principle for a class of regularization methods
• Reconstruction of high order derivatives from input data

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