Multidimensional Inverse Problems for Differential Equations PDF Download
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Author: M. M. Lavrentiev
Publisher: Springer
ISBN: 3540364048
Category : Mathematics
Languages : en
Pages : 65
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Book Description
Author: M. M. Lavrentiev
Publisher: Springer
ISBN: 3540364048
Category : Mathematics
Languages : en
Pages : 65
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Book Description
Author: M. M. Lavrentiev
Publisher:
ISBN: 9783662194768
Category :
Languages : en
Pages : 72
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Book Description
Author:
Publisher:
ISBN: 9780387052823
Category : Commutative rings
Languages : en
Pages : 317
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Book Description
Author: Yu. E. Anikonov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110271478
Category : Mathematics
Languages : en
Pages : 140
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Book Description
Inverse problems are usually nonlinear and are separated into one-dimensional and multidimensional problems, depending on whether the sought function (or functions) is a function of one variable or of many. Multidimensionality of inverse problems has particular value at present, because practice shows that many investigating processes are described by an equation, of which the co-efficient essentially depends on many variables. This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology.
Author: I︠U︡riĭ Evgenʹevich Anikonov
Publisher: VSP
ISBN: 9789067641852
Category : Architecture
Languages : en
Pages : 148
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Book Description
This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interet to researchers in the field of applied mathematics, geophysics and mathematical biology.
Author: David L. Colton
Publisher: SIAM
ISBN: 9780898712520
Category : Mathematics
Languages : en
Pages : 234
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Book Description
Author: A. S. Barashkov
Publisher: VSP
ISBN: 9789067642958
Category : Mathematics
Languages : en
Pages : 148
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Book Description
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.
Author: Yu. E. Anikonov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110940906
Category : Mathematics
Languages : en
Pages : 280
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Book Description
This monograph deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.
Author: Victor Isakov
Publisher: Springer
ISBN: 3319516582
Category : Mathematics
Languages : en
Pages : 406
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Book Description
A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
Author: Alexander G. Ramm
Publisher: Springer Science & Business Media
ISBN: 0387232184
Category : Technology & Engineering
Languages : en
Pages : 453
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Book Description
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.
