Heuristic regularization methods for numerical differentiation

DOI10.1016/j.camwa.2011.11.047zbMath1247.65028OpenAlexW1969873830MaRDI QIDQ453796

Dinh Nho Hào, La Huu Chuong, Daniel Lesnic

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.11.047

zbMATH Keywords

splinenumerical differentiationill-posed problemde Boor methodheuristic regularization methodL-curve method

Mathematics Subject Classification ID

Numerical differentiation (65D25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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Uses Software

• Matlab
• Regularization tools
• Spline Toolbox

Cites Work

• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• A practical guide to splines
• A mollification method for ill-posed problems
• A Banach space ODE framework for inverse scattering via invariant imbedding
• Stable approximation of fractional derivatives of rough functions
• Smoothing by spline functions.
• Inverse Problems Light: Numerical Differentiation
• Reconstruction of high order derivatives from input data
• Numerical differentiation and its applications
• Stable nunerical fractional differentiation by mollification
• A numerical differentiation method and its application to reconstruction of discontinuity
• An introduction to the mathematical theory of inverse problems

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