Multidimensional Inverse Problems For Differential Equations PDF Download
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Author | : M. M. Lavrentiev |
Publisher | : Springer |
Total Pages | : 65 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540364048 |
Download Multidimensional Inverse Problems for Differential Equations Book in PDF, ePub and Kindle
Author | : M. M. Lavrentiev |
Publisher | : |
Total Pages | : 72 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662194768 |
Download Multidimensional Inverse Problems for Differential Equations Book in PDF, ePub and Kindle
Author | : Yu. E. Anikonov |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 140 |
Release | : 2014-07-24 |
Genre | : Mathematics |
ISBN | : 3110271478 |
Download Multidimensional Inverse and Ill-Posed Problems for Differential Equations Book in PDF, ePub and Kindle
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 |
Total Pages | : 148 |
Release | : 1995 |
Genre | : Architecture |
ISBN | : 9789067641852 |
Download Multidimensional Inverse and Ill-Posed Problems for Differential Equations: Book in PDF, ePub and Kindle
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 |
Total Pages | : 234 |
Release | : 1990-01-01 |
Genre | : Mathematics |
ISBN | : 9780898712520 |
Download Inverse Problems in Partial Differential Equations Book in PDF, ePub and Kindle
Author | : A. S. Barashkov |
Publisher | : Walter de Gruyter |
Total Pages | : 139 |
Release | : 1998-12-15 |
Genre | : |
ISBN | : 9783110354652 |
Download Small Parameter Method in Multidimensional Inverse Problems Book in PDF, ePub and Kindle
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 | : Alemdar Hasanov Hasanoğlu |
Publisher | : Springer Nature |
Total Pages | : 521 |
Release | : 2021-08-02 |
Genre | : Mathematics |
ISBN | : 303079427X |
Download Introduction to Inverse Problems for Differential Equations Book in PDF, ePub and Kindle
This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering. The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties. For the second edition, the authors have added two new chapters focusing on real-world applications of inverse problems arising in wave and vibration phenomena. They have also revised the whole text of the first edition.
Author | : G. Anger |
Publisher | : Springer Science & Business Media |
Total Pages | : 266 |
Release | : 1990-06-30 |
Genre | : Science |
ISBN | : 9780306431647 |
Download Inverse Problems in Differential Equations Book in PDF, ePub and Kindle
Elucidates the fundamental mathematical structures of inverse problems, analyzing both the information content and the solution of some inverse problems in which the information content of the coefficients and the source term of a given differential equation is not too large. In order to be accessib
Author | : |
Publisher | : |
Total Pages | : 317 |
Release | : 1969 |
Genre | : Commutative rings |
ISBN | : 9780387052823 |
Download Anneaux locaux Henséliens Book in PDF, ePub and Kindle
Author | : M. M. Lavrent'ev |
Publisher | : |
Total Pages | : |
Release | : 1970 |
Genre | : |
ISBN | : |
Download Multidimensional inverse problems for differential equations Book in PDF, ePub and Kindle