Small Parameter Method In Multidimensional Inverse Problems
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Small Parameter Method In Multidimensional Inverse Problems
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Author : A. S. Barashkov
language : en
Publisher: VSP
Release Date : 1998-01-01
Small Parameter Method In Multidimensional Inverse Problems written by A. S. Barashkov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
Inverse problem theory is one of the most important directions of modern mathematics. In this monograph, for the most part, inverse coefficient problems are explored, for example Helmholtz equations. The coefficient of these equations need to be recovered by certain known information on the solutions of these equations. In this book, the basic method for studying multidimensional inverse problems is the small parameter method (the asymptotic method). Such methods are widely used for investigation of direct problems.
Direct Methods Of Solving Multidimensional Inverse Hyperbolic Problems
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Author : Sergey I. Kabanikhin
language : en
Publisher: Walter de Gruyter
Release Date : 2013-04-09
Direct Methods Of Solving Multidimensional Inverse Hyperbolic Problems written by Sergey I. Kabanikhin 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 2013-04-09 with Mathematics categories.
The authors consider dynamic types of inverse problems in which the additional information is given by the trace of the direct problem on a (usually time-like) surface of the domain. They discuss theoretical and numerical background of the finite-difference scheme inversion, the linearization method, the method of Gel'fand-Levitan-Krein, the boundary control method, and the projection method and prove theorems of convergence, conditional stability, and other properties of the mentioned methods.
Method Of Spectral Mappings In The Inverse Problem Theory
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Author : Vacheslav A. Yurko
language : en
Publisher: Walter de Gruyter
Release Date : 2013-10-10
Method Of Spectral Mappings In The Inverse Problem Theory written by Vacheslav A. Yurko 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 2013-10-10 with Mathematics categories.
Inverse problems of spectral analysis consist in recovering operators from their spectral characteristics. Such problems often appear in mathematics, mechanics, physics, electronics, geophysics, meteorology and other branches of natural science. This monograph is devoted to inverse problems of spectral analysis for ordinary differential equations. Its aim ist to present the main results on inverse spectral problems using the so-called method of spectral mappings, which is one of the main tools in inverse spectral theory. The book consists of three chapters: In Chapter 1 the method of spectral mappings is presented in the simplest version for the Sturm-Liouville operator. In Chapter 2 the inverse problem of recovering higher-order differential operators of the form, on the half-line and on a finite interval, is considered. In Chapter 3 inverse spectral problems for differential operators with nonlinear dependence on the spectral parameter are studied.
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.
Operator Theory
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Author : Sergei G. Pyatkov
language : en
Publisher: Walter de Gruyter
Release Date : 2013-02-18
Operator Theory written by Sergei G. Pyatkov 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 2013-02-18 with Mathematics categories.
This monograph describes mathematical methods applicable to studying nonclassical problems of mathematical physics. The emphasis of the book is on applications of the interpolar theory of Banach spaces to the theory of linear operators to be expotentially dichotomous, to some continuity properties of linear operators in Hilbert scales, to the Riesz basis property of eigenelements and associated elements of linear pencils and the correspondending elliptic problems with indefinite weight functions, and to studying nonclassical boundary value problems for first order operator-differential equations.
Computer Modelling In Tomography And Ill Posed Problems
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Author : Mikhail M. Lavrent'ev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
Computer Modelling In Tomography And Ill Posed Problems written by Mikhail M. Lavrent'ev 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 2014-07-24 with Mathematics categories.
Comparatively weakly researched untraditional tomography problems are solved because of new achievements in calculation mathematics and the theory of ill-posed problems, the regularization process of solving ill-posed problems, and the increase of stability. Experiments show possibilities and applicability of algorithms of processing tomography data. This monograph is devoted to considering these problems in connection with series of ill-posed problems in tomography settings arising from practice.The book includes chapters to the following themes: Mathematical basis of the method of computerized tomography Cone-beam tomography reconstruction Inverse kinematic problem in the tomographic setting
An Introduction To Identification Problems Via Functional Analysis
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Author : Alfredo Lorenzi
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
An Introduction To Identification Problems Via Functional Analysis written by Alfredo Lorenzi 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 2014-07-24 with Mathematics categories.
this monograph is based on two courses in computational mathematics and operative research, which were given by the author in recent years to doctorate and PhD students. The text focuses on an aspect of the theory of inverse problems, which is usually referred to as identification of parameters (numbers, vectors, matrices, functions) appearing in differential – or integrodifferential – equations. The parameters of such equations are either quite unknown or partially unknown, however knowledge about these is usually essential as they describe the intrinsic properties of the material or substance under consideration.
Uniqueness Problems For Degenerating Equations And Nonclassical Problems
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Author : S. P. Shishatskii
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-15
Uniqueness Problems For Degenerating Equations And Nonclassical Problems written by S. P. Shishatskii 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 2014-10-15 with Mathematics categories.
No detailed description available for "Uniqueness Problems for Degenerating Equations and Nonclassical Problems".
Theory Of Linear Optimization
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Author : Ivan Ivanovich Eremin
language : en
Publisher: VSP
Release Date : 2002-01-01
Theory Of Linear Optimization written by Ivan Ivanovich Eremin and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
This monograph is devoted to the basic component of the theory of linear optimisation problems: systems of linear inequalities. Such an approach is exact in both a historical and methodological sense.In the first two chapters attention focuses on economic interpretation of models, theorems, and approaches. The other chapters are dedicated to less traditional problems of linear optimisation, such as improper problems and duality, lexicographic problems and duality, piecewise linear problems and duality, etc. The book also covers some general methods for calculating processes for certain problems of linear optimisation: the problem of stability and correctness.This book contains original scientific material, which is of value and interest to students and specialists in mathematical optimisation, operation research, economic-mathematical modelling and related disciplines.
Transport Equation And Tomography
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Author : D. S. Anikonov
language : en
Publisher: VSP
Release Date : 2002
Transport Equation And Tomography written by D. S. Anikonov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book deals mainly with the results of the authors' research devoted to both the study of the transport equation (the linear Boltzmann equation) and its applications in X-ray tomography. The introduction gives an outline of the book and deals with certain aspects of the methodology. The first part of the book is devoted to the investigation of known and new problems for the stationary transport equation of a general form. New problems are treated as problems of tomography. The second part deals with the monoenergetic transport equation. This book will be of interest to specialists in transport theory and tomography.