First and second order numerical differentiation with Tikhonov regularization

DOI10.1007/s11464-006-0014-xzbMath1222.65024OpenAlexW1582521218MaRDI QIDQ719946

Shuai Lu, Yan-Bo Wang

Publication date: 12 October 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-006-0014-x

zbMATH Keywords

numerical differentiationerror estimateTikhonov regularizationill-posed problem

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical differentiation (65D25)

Related Items

On complex-valued 2D eikonals. IV: continuation past a caustic, The index function and Tikhonov regularization for ill-posed problems

Cites Work

• On stable numerical differentiation
• Inverse Problems Light: Numerical Differentiation
• Differentiation of Approximately Specified Functions
• For numerical differentiation, dimensionality can be a blessing!
• 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
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