Inverse Problems and Applications

Softcover Nachdruck of the original 1. Auflage 2015
ISBN: 978-3-319-34939-8
Verlag: Springer International Publishing

Buch, Englisch, Band 120, 164 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 2759 g

Reihe: Springer Proceedings in Mathematics & Statistics

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.

Zielgruppe

Research

Autoren/Hrsg.

Beilina, Larisa

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.