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商品コード: 9781611974454

Inverse Scattering Theory and Transmission

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書名

Inverse Scattering Theory and Transmission Eigenvalues
著者・編者Cakoni, F. et al.
出版社/発行元SIAM
発行年/月2017年2月   
装丁Softcover
ページ数/巻数 198 ページ
ISBN 978-1-61197-445-4
発送予定海外倉庫よりお取り寄せ 2-3週間以内に発送します

Desciption

 

Inverse scattering theory is a major theme of applied mathematics, and has applications to such diverse areas as medical imaging, geophysical exploration, and nondestructive testing. The inverse scattering problem is nonlinear and ill-posed, thus presenting particular problems in the development of efficient inversion algorithms. Initial efforts to address these problems focused on nonlinear optimization methods, which required strong a priori information. This led to a qualitative approach to inverse scattering theory in which the amount of a priori information is drastically reduced, although at the expense of only obtaining limited information about the values of constitutive parameters. This book provides an introduction to this important new direction in inverse scattering theory. Beginning with a basic introduction to the theory, the authors proceed to more recent developments, including a detailed discussion of the transmission eigenvalue problem. Both the new generalized linear sampling method and well-known linear sampling and factorization methods are included.

- An ideal introduction to the qualitative approach to inverse scattering theory for both researchers and advanced graduates in diverse areas of applied mathematics
- Presents the new generalized linear sampling method in addition to the well-known linear sampling and factorization methods
- Includes a detailed discussion of the transmission eigenvalue problem


Contents:

 

Preface
1. Inverse scattering theory
2. The determination of the support of inhomogeneous media
3. The interior transmission problem
4. The existence of transmission eigenvalues
5. Inverse spectral problems for transmission eigenvalues
Bibliography
Index

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