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E-raamat: Inverse Problems and Applications

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??This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques for the solution of inverse problems, with relevance to a range of fields including acoustics, electromagnetics, optics, medical imaging, and geophysics. ?
1 Iteratively Regularized Gauss-Newton Methods Under Random Noise
1(12)
Mikhail Yu. Kokurin
Anatoly B. Bakushinsky
2 Methods of Quantitative Reconstruction of Shapes and Refractive Indices from Experimental data
13(30)
Larisa Beilina
Nguyen Trung Thanh
Michael V. Klibanov
John Bondestam Malmberg
3 A Posteriori Error Estimate in the Lagrangian Setting for an Inverse Problem Based on a New Formulation of Maxwell's System
43(12)
John Bondestam Malmberg
4 Determination of Permittivity from Propagation Constant Measurements in Optical Fibers
55(12)
Evgenii Karchevskii
Alexandr Spiridonov
Larisa Beilina
5 Eigenmodes of Linearised Problems of Scattering and Generation of Oscillations on Cubically Polarisable Layers
67(14)
Lutz Angermann
Yuri V. Shestopalov
Vasyl V. Yatsyk
6 Time Resolution in Transient Kinetics
81(16)
Soheil Soltani
Ronnie Andersson
Bengt Andersson
7 Reconstruction of Dielectric Constants in a Cylindrical Waveguide
97(14)
Larisa Beilina
Anders Eriksson
8 Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy
111(14)
Larisa Beilina
Irina Gainova
9 The Layer-Stripping Algorithm for Reconstruction of Dielectrics in an Optical Fiber
125(10)
Larisa Beilina
Evgenii Karchevskii
10 Simultaneous Reconstruction of Maxwell's Coefficients from Backscattering Data
135(18)
L. Beilina
M. Cristofol
K. Niinimaki
11 On the Solution of Forward and Inverse Problems of Voltammetry
153
Nikolay Koshev