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