Reconstruction of high order derivatives from input data

DOI10.1515/156939406777571085zbMath1115.65022OpenAlexW1986793742MaRDI QIDQ3431321

Yan-Bo Wang, Jin Cheng, Benny Y. C. Hon

Publication date: 10 April 2007

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939406777571085

zbMATH Keywords

inverse problemdata fittingerror boundnumerical differentiationTikhonov regularization

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical differentiation (65D25)

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Cites Work

• Abel integral equations. Analysis and applications
• On stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Differentiation of Approximately Specified Functions
• An inverse problem in corrosion detection
• One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
• A numerical differentiation method and its application to reconstruction of discontinuity
• Error estimates of some Newton-type methods for solving nonlinear inverse problems in Hilbert scales
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