Inverse Problems and Applications

✍ Scribed by Larisa Beilina (eds.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 169
• Series: Springer Proceedings in Mathematics & Statistics 120
• Edition: 1
• Category: Library

✦ Synopsis

​​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. ​

✦ Table of Contents

Front Matter....Pages i-x
Iteratively Regularized Gauss-Newton Methods under Random Noise....Pages 1-11
Methods of Quantitative Reconstruction of Shapes and Refractive Indices from Experimental data....Pages 13-41
A Posteriori Error Estimate in the Lagrangian Setting for an Inverse Problem Based on a New Formulation of Maxwell’s System....Pages 43-53
Determination of Permittivity from Propagation Constant Measurements in Optical Fibers....Pages 55-65
Eigenmodes of Linearised Problems of Scattering and Generation of Oscillations on Cubically Polarisable Layers....Pages 67-80
Time Resolution in Transient Kinetics....Pages 81-96
Reconstruction of Dielectric Constants in a Cylindrical Waveguide....Pages 97-109
Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy....Pages 111-124
The Layer-Stripping Algorithm for Reconstruction of Dielectrics in an Optical Fiber....Pages 125-134
Simultaneous Reconstruction of Maxwell’s Coefficients from Backscattering Data....Pages 135-151
On the Solution of Forward and Inverse Problems of Voltammetry....Pages 153-164

✦ Subjects

Linear and Multilinear Algebras, Matrix Theory; Operator Theory; Numerical Analysis