A study of regularization by monotonicity

DOI10.1007/BF02238609zbMath0774.65099OpenAlexW149656064MaRDI QIDQ2366294

C. Gellrich, Bernd Hofmann

Publication date: 29 June 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238609

zbMATH Keywords

convergenceTikhonov regularizationUrysohn integral equationsquadrature formula methoddecreasing rearrangementill-posed integral equationsnon-uniqueness of solutionsnonlinear Fredholm integral equations of the first kindmonotoncity constraintregularization by monotonicity

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items

A decreasing rearrangement approach for a class of ill-posed nonlinear integral equations ⋮ On a special class of nonlinear Fredholm integral equations of the first kind ⋮ Limitations of the \(L\)-curve method in ill-posed problems ⋮ Inverse source identification by Green's function ⋮ A DISCREPANCY PRINCIPLE FOR THE SOURCE POINTS LOCATION IN USING THE MFS FOR SOLVING THE BHCP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularization of a Volterra integral equation by linear inequalities
• Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
• Uniqueness of monotone solutions to a non-linear Fredholm integral equation
• A deterministic approach to optimal regularization —The finite dimensional case—
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• On a class of ill-posed non-linear integral equations arising in the interpretation of indirect measurements