Inverse Problems and Applications

Buch | Softcover

X, 164 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-34939-8 (ISBN)

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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.

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.

Erscheinungsdatum	14.10.2016
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	X, 164 p. 44 illus., 41 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Algebra • electromagnetism • Functional analysis and transforms • ill-posed problems • Linear and Multilinear Algebras, Matrix Theory • Mathematics • mathematics and statistics • matrix theory • Maxwell Equations • Numerical analysis • operator theory • Tikhonov functional
ISBN-10	3-319-34939-2 / 3319349392
ISBN-13	978-3-319-34939-8 / 9783319349398
Zustand	Neuware