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Linear and nonlinear inverse problems with practical applications /

書誌詳細
主要な著者: Mueller, Jennifer, Siltanen, Samuli (著者)
フォーマット: Printed Book
言語:English
シリーズ:Computational science and engineering series
主題:
オンライン・アクセス:Table of contents only
Contributor biographical information
Publisher description
目次:
  • Naíve reconstruction and inverse crimes
  • Ill-posedness in inverse problems
  • Truncated singular value decomposition
  • Tikhonov regularization
  • Total variation regularization
  • Besov space regularization using wavelets
  • Discretization-invariance
  • Practical X-ray tomography with limited data
  • Projects
  • Nonlinear inverse problems
  • Nonlinear inversion
  • Electrical impedance tomography
  • Simulation of noisy EIT data
  • Complex geometrical optics solutions
  • A regularized D-bar method for direct EIT
  • Other direct solution methods for EIT
  • Projects
  • Banach spaces and Hilbert spaces
  • Mappings and compact operators
  • Fourier transform and Sobolev spaces
  • Iterative solution of linear equations.