Identification Problems of Wave Phenomena : : Theory and Numerics / / A. Lorenzi, S. I. Kabanikhin.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©1999
Year of Publication:2014
Edition:Reprint 2014
Language:English
Series:Inverse and Ill-Posed Problems Series , 18
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Physical Description:1 online resource (342 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Introduction
  • Chapter 1. Statements of the direct and inverse problems. Examples
  • Chapter 2. Volterra operator equations
  • Chapter 3. Inverse problems for Maxwell's equations
  • Chapter 4. Linearization and Newton - Kantorovich method
  • Chapter 5. The Gel'fand - Levitan Method
  • Chapter 6. Regularization
  • Chapter 7. The method of the optimal control
  • Chapter 8. Inversion of finite-difference schemes
  • Chapter 9. Strongly ill-posed problems
  • Chapter 10. Identification problems related to first-order scalar semilinear equations
  • Chapter 11. An identification problem for a first-order integro-differential equation
  • Chapter 12. An inverse hyperbolic integro-differential problem arising in Geophysics
  • Chapter 13. Integro-differential identification problems related to the one-dimensional wave equation
  • Chapter 14. Lavrent'ev regularization of solutions to linear integro-differential inverse problems
  • Chapter 15. A stability result for the identification of a nonlinear term in a semilinear hyperbolic integro-differential equation
  • Chapter 16. Inverse problems in Electromagnetoelasticity
  • Bibliography