Multidimensional Inverse Problems for Differential Equations
Author: M. M. Lavrentiev
Publisher: Springer
Published: 2006-11-15
Total Pages: 65
ISBN-13: 3540364048
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Author: M. M. Lavrentiev
Publisher: Springer
Published: 2006-11-15
Total Pages: 65
ISBN-13: 3540364048
DOWNLOAD EBOOKAuthor: M. M. Lavrentiev
Publisher:
Published: 2014-09-01
Total Pages: 72
ISBN-13: 9783662194768
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1969
Total Pages: 317
ISBN-13: 9780387052823
DOWNLOAD EBOOKAuthor: Yu. E. Anikonov
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2014-07-24
Total Pages: 140
ISBN-13: 3110271478
DOWNLOAD EBOOKInverse 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
Published: 1995
Total Pages: 148
ISBN-13: 9789067641852
DOWNLOAD EBOOKThis 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
Published: 1990-01-01
Total Pages: 234
ISBN-13: 9780898712520
DOWNLOAD EBOOKAuthor: A. S. Barashkov
Publisher: VSP
Published: 1998-01-01
Total Pages: 148
ISBN-13: 9789067642958
DOWNLOAD EBOOKInverse 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: M. M. Lavrent'ev
Publisher:
Published: 1970
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Alexander G. Ramm
Publisher: Springer Science & Business Media
Published: 2005-12-19
Total Pages: 453
ISBN-13: 0387232184
DOWNLOAD EBOOKInverse 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.
Author: I︠U︡riĭ Evgenʹevich Anikonov
Publisher: VSP
Published: 2001
Total Pages: 288
ISBN-13: 9789067643450
DOWNLOAD EBOOKThis monograph in the "Inverse and Ill-Posed Problems Series 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.This monograph will be of value and interest to mathematicians, engineers and other specialists dealing with inverse and ill posed problems.