THEORY  OF REGULARIZATION
 
     Books

Introduction to the Theory of Inverse Problems
Numerical Aspects of Linear Inversion
Learning with Kernels
Introduction to the Theory of Inverse Problems
Inverse Problems for Maxwell's Equations
Inverse Problems of Wave Processes
Integral Geometry of Tensor Fields
Formulas in Inverse and Ill-Posed Problems
Inverse Problems for Kinetic and Other Evolution Equations
Multidimensional Inverse and Ill-Posed Problems for Differential Equations
Handbook of Numerical Analysis
Geophysical Inverse Theory
Computational Methods for Inverse Problems
 
Journals

Inverse Problems
Journal of Inverse and Ill-Posed Problems
SIAM Journals
Control, Optimisation and Calculus of Variations
Journal of Computational Mathematics
Mathematical Physics
 
    Some Papers

Tikhonov Regularization and Generalized Biased Estimation
Adaptive Regularization of a Distorted Born Iterative Algorithm
FD Approximation and Regularization
Tikhonov's regularization and multiresolution analysis
Regularization of Discrete Ill-Posed Problems
Reading List
Links to Inverse Problems
Links on Regularization
Ref.: Regularization Theory and Practice

2000 Mathematics Subject Classification
Mathematics Information Servers
Mathematical Programming Glossary


Can a Sobolev space of infinite  order  be useful  in numerical methods of regularization To 3D: diffusion regularization
     Should a proper regularizer be of a covariant form Self-adaptive regularization SAR: Self-adaptive regularization SEG-98.pdf: ~240 Kb
To 3D: a few novel regularizers


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