Inverse Problems and Applications, 2015 Springer Proceedings in Mathematics & Statistics Series, Vol. 120

M.Yu. Kokurin and A. Bakushinsky, Interatively regularized Gauss-Newton methods under random noise.- L. Beilina, N.T. Thanh, M.V. Klibanov, and J.B. Malmberg, Methods of quantitative reconstruction of shapes and refractive indices from experimental data.- J.B. Malmberg, A posteriori error estimate in the Lagrangian setting for an inverse problem based on a new formulation of Maxwell's system.- E. Karchevskii, A. Spiridonov, and L. Beilina, Determination of permittivity from propagation constant measurements in optical fibers.- L. Angermann, Yu.V. Shestopalov, and V.V. Yatsyk, Eigenmodes of linearised problems of scattering and generation of oscillations on cubically polarisable layers.- S. Soltani, R. Andersson, and B. Andersson, Time resolution in transient kinetics.- L. Beilina and A. Eriksson, Reconstruction of dielectric constants in a cylindrical waveguide.- L. Beilina and I. Gainova, Time-adaptive FEM for distributed parameter identification in mathematical model of HIV infection with drug therapy.- L. Beilina and E. Karchevskii, The layer-stripping algorithm for reconstruction of dielectrics in an optical fiber.- L. Beilina, M. Cristofol, and K. Niinimaki, Simultaneous reconstruction of Maxwell's coefficients from backscattering data.

Describes recently developed numerical methods for the solution of inverse and ill-posed problems?

Provides numerical verification of proposed new methods for solving inverse problems

Applies methods to experimental data in the fields of medicine, electromagnetics, and geology

Includes supplementary material: sn.pub/extras