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Geophysical inverse theory and regularization problems /

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This book presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology. The book brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried...

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Bibliographic Details
Main Author: Zhdanov, Michael S.
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: Amsterdam ; Oxford : Elsevier Science, 2002.
Series:Methods in geochemistry and geophysics ; 36.
Subjects:
Inversion (Geophysics)
Geophysics > Measurement.
Functional analysis.
Mathematical optimization.
Inversion (Géophysique)
Analyse fonctionnelle.
Optimisation mathématique.
SCIENCE > Earth Sciences > General.
SCIENCE > Physics > Geophysics.
Functional analysis
Geophysics > Measurement
Mathematical optimization
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Part I: Introduction to Inversion Theory
  • Part II: Methods of the Solution of Inverse Problems
  • Part III: Geopotential Field Inversion
  • Part IV: Electromagnetic Inversion
  • Part V: Seismic Inversion
  • Appendix A. Functional spaces of geophysical models and data
  • Appendix B. Operators in the spaces of models and data
  • Appendix C. Functionals in the spaces of geophysical models
  • Appendix D. Linear operators and functionals revisited
  • Appendix E. Some formulae and rules from matrix algebra
  • Appendix F. Some formulae and rules from tensor calculus.