Inverse Scattering Theory and Transmission (Cbms-nsf Regional Conference Series in Applied Mathematics 88)

Fioralba Cakoni, David Colton, Houssem Haddar

ISBN 10: 1611974453 / ISBN 13: 9781611974454

Editore: SIAM-Society for Industrial and Applied Mathematics, 2016

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203 pp., paperback, NEW!!! - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1301560

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Titolo: Inverse Scattering Theory and Transmission (...

Casa editrice: SIAM-Society for Industrial and Applied Mathematics

Data di pubblicazione: 2016

Legatura: Brossura

Condizione: New

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Riassunto:

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.

Descrizione del libro:

With a qualitative approach to inverse scattering theory, this book is ideal for researchers and advanced graduates in applied mathematics. The authors outline recent developments in the area, including the transmission eigenvalue problem. Both the generalized linear sampling method and well-known linear sampling and factorization methods are discussed.