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Electrical Impedance Tomography And Faddeev Green S Functions


Electrical Impedance Tomography And Faddeev Green S Functions
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Electrical Impedance Tomography And Faddeev Green S Functions


Electrical Impedance Tomography And Faddeev Green S Functions
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Author : Samuli Siltanen
language : en
Publisher:
Release Date : 1999

Electrical Impedance Tomography And Faddeev Green S Functions written by Samuli Siltanen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Electrical impedance tomography categories.




Linear And Nonlinear Inverse Problems With Practical Applications


Linear And Nonlinear Inverse Problems With Practical Applications
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Author : Jennifer L. Mueller
language : en
Publisher: SIAM
Release Date : 2012-11-30

Linear And Nonlinear Inverse Problems With Practical Applications written by Jennifer L. Mueller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Mathematics categories.


Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.



Electrical Impedance Tomography


Electrical Impedance Tomography
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Author : Andy Adler
language : en
Publisher: CRC Press
Release Date : 2021-12-19

Electrical Impedance Tomography written by Andy Adler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-19 with Medical categories.


With contributions from leading international researchers, this second edition of Electrical Impedance Tomography: Methods, History and Applications has been fully updated throughout and contains new developments in the field, including sections on image interpretation and image reconstruction. Providing a thorough review of the progress of EIT, the present state of knowledge, and a look at future advances and applications, this accessible reference will be invaluable for mathematicians, physicists dealing with bioimpedance, electronic engineers involved in developing and extending its applications, and clinicians wishing to take advantage of this powerful imaging method. Key Features: Fully updated throughout, with new sections on image interpretation and image reconstruction Overview of the current state of experimental and clinical use of EIT as well as active research developments Overview of related research in geophysics, industrial process tomography, magnetic-resonance and magnetic-induction impedance imaging



Nonlinear Wave Equations


Nonlinear Wave Equations
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Author : Christopher W. Curtis
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-03-26

Nonlinear Wave Equations written by Christopher W. Curtis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-26 with Nonlinear wave equations categories.


This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado. The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids. This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.



Siam Journal On Scientific Computing


Siam Journal On Scientific Computing
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Author :
language : en
Publisher:
Release Date : 2003

Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Electronic journals categories.




Inverse Spectral And Scattering Theory


Inverse Spectral And Scattering Theory
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Author : Hiroshi Isozaki
language : en
Publisher: Springer Nature
Release Date : 2020-09-26

Inverse Spectral And Scattering Theory written by Hiroshi Isozaki and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-26 with Science categories.


The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often reduced to those of Schrödinger operators. We start from the 1-dimensional theory to observe the main features of inverse spectral problems and then proceed to multi-dimensions. The first milestone is the Borg–Levinson theorem in the inverse Dirichlet problem in a bounded domain elucidating basic motivation of the inverse problem as well as the difference between 1-dimension and multi-dimension. The main theme is the inverse scattering, in which the spectral data is Heisenberg’s S-matrix defined through the observation of the asymptotic behavior at infinity of solutions. Significant progress has been made in the past 30 years by using the Faddeev–Green function or the complex geometrical optics solution by Sylvester and Uhlmann, which made it possible to reconstruct the potential from the S-matrix of one fixed energy. One can also prove the equivalence of the knowledge of S-matrix and that of the Dirichlet-to-Neumann map for boundary value problems in bounded domains. We apply this idea also to the Dirac equation, the Maxwell equation, and discrete Schrödinger operators on perturbed lattices. Our final topic is the boundary control method introduced by Belishev and Kurylev, which is for the moment the only systematic method for the reconstruction of the Riemannian metric from the boundary observation, which we apply to the inverse scattering on non-compact manifolds. We stress that this book focuses on the lucid exposition of these problems and mathematical backgrounds by explaining the basic knowledge of functional analysis and spectral theory, omitting the technical details in order to make the book accessible to graduate students as an introduction to partial differential equations (PDEs) and functional analysis.



Inverse Problems For Nonsmooth First Order Perturbations Of The Laplacian


Inverse Problems For Nonsmooth First Order Perturbations Of The Laplacian
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Author : Mikko Salo
language : en
Publisher:
Release Date : 2004

Inverse Problems For Nonsmooth First Order Perturbations Of The Laplacian written by Mikko Salo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Inverse problems (Differential equations) categories.




Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.




Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1982-05

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-05 with Aeronautics categories.




Science Citation Index


Science Citation Index
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Author :
language : en
Publisher:
Release Date : 1994

Science Citation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.


Vols. for 1964- have guides and journal lists.