Methods For Solving Inverse Problems In Mathematical Physics
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Methods For Solving Inverse Problems In Mathematical Physics
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Author : Global Express Ltd. Co.
language : en
Publisher: CRC Press
Release Date : 2000-03-21
Methods For Solving Inverse Problems In Mathematical Physics written by Global Express Ltd. Co. and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-21 with Mathematics categories.
Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
Numerical Methods For Solving Inverse Problems Of Mathematical Physics
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Author : A. A. Samarskii
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-27
Numerical Methods For Solving Inverse Problems Of Mathematical Physics written by A. A. Samarskii and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-27 with Mathematics categories.
The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.
Numerical Methods For Solving Inverse Problems Of Mathematical Physics
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Author : Alexander A. Samarskii
language : en
Publisher:
Release Date : 2007-01
Numerical Methods For Solving Inverse Problems Of Mathematical Physics written by Alexander A. Samarskii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01 with Differential equations, Partial categories.
This book treats some particular inverse problems for time-dependent and time-independent equations often encountered in mathematical physics.
Inverse Problems Of Mathematical Physics
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Author : Mikhail M. Lavrent'ev
language : en
Publisher: Walter de Gruyter
Release Date : 2012-05-07
Inverse Problems Of Mathematical Physics written by Mikhail M. Lavrent'ev and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-07 with Mathematics categories.
This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.
Inverse Problems Of Mathematical Physics
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Author : V. G. Romanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Inverse Problems Of Mathematical Physics written by V. G. Romanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.
No detailed description available for "Inverse Problems of Mathematical Physics".
Inverse Problems
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Author : Alexander G. Ramm
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20
Inverse Problems written by Alexander G. Ramm and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Technology & Engineering categories.
Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.
Methods Of Inverse Problems In Physics
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Author : Dilip N. Ghosh Roy
language : en
Publisher: CRC Press
Release Date : 1991-03-14
Methods Of Inverse Problems In Physics written by Dilip N. Ghosh Roy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-14 with Science categories.
This interesting volume focuses on the second of the two broad categories into which problems of physical sciences fall-direct (or forward) and inverse (or backward) problems. It emphasizes one-dimensional problems because of their mathematical clarity. The unique feature of the monograph is its rigorous presentation of inverse problems (from quantum scattering to vibrational systems), transmission lines, and imaging sciences in a single volume. It includes exhaustive discussions on spectral function, inverse scattering integral equations of Gel'fand-Levitan and Marcenko, Povzner-Levitan and Levin transforms, Møller wave operators and Krein's functionals, S-matrix and scattering data, and inverse scattering transform for solving nonlinear evolution equations via inverse solving of a linear, isospectral Schrodinger equation and multisoliton solutions of the K-dV equation, which are of special interest to quantum physicists and mathematicians. The book also gives an exhaustive account of inverse problems in discrete systems, including inverting a Jacobi and a Toeplitz matrix, which can be applied to geophysics, electrical engineering, applied mechanics, and mathematics. A rigorous inverse problem for a continuous transmission line developed by Brown and Wilcox is included. The book concludes with inverse problems in integral geometry, specifically Radon's transform and its inversion, which is of particular interest to imaging scientists. This fascinating volume will interest anyone involved with quantum scattering, theoretical physics, linear and nonlinear optics, geosciences, mechanical, biomedical, and electrical engineering, and imaging research.
Computational Methods For Applied Inverse Problems
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Author : Yanfei Wang
language : en
Publisher: Walter de Gruyter
Release Date : 2012-10-30
Computational Methods For Applied Inverse Problems written by Yanfei Wang and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-30 with Mathematics categories.
Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.
An Introduction To Inverse Problems In Physics
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Author : Mohsen Razavy
language : en
Publisher: World Scientific
Release Date : 2020-05-21
An Introduction To Inverse Problems In Physics written by Mohsen Razavy and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-21 with Science categories.
This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems.The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.
Investigation Methods For Inverse Problems
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Author : Vladimir G. Romanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-10
Investigation Methods For Inverse Problems written by Vladimir G. Romanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Mathematics categories.
This monograph deals with some inverse problems of mathematical physics. It introduces new methods for studying inverse problems and gives obtained results, which are related to the conditional well posedness of the problems. The main focus lies on time-domain inverse problems for hyperbolic equations and the kinetic transport equation.