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Книга Regularization of Inverse Problems Heinz Werner Engl

Regularization of Inverse Problems

Автор: Heinz Werner Engl, Martin Hanke
Език: Английски език
Корици: С меки корици
Издател: Springer
Наличност: Външен склад
Изпращаме след 10-18 дни
175.94 € 344.11 лв
Driven by the needs of applications both in sciences and in industry, the field of inverse problems...

Информация за книгата

Автор
Heinz Werner Engl, Martin Hanke
Език
Английски език
Корици
Книга - С меки корици
Издадена
2000
страници
322
EAN
9780792361404
ISBN
0792361407
Enbook ID
01396296
Издател
Springer
Теглоt
1030
Размери
156 x 234 x 19

Пълно описание

Driven by the needs of applications both in sciences and in industry, the field of inverse problems has certainly been one of the fastest growing areas in applied mathematics recently. This book starts with an overview over some classes of inverse problems of practical interest. Inverse problems typically lead to mathematical models that are ill-posed in the sense of Hadamard. Especially, their solution is unstable under data perturbations, so that special numerical methods that can cope with these instabilities, so-called regularization methods, have to be developed. This book is devoted to the mathematical theory of regularization methods and is intended to give an up-to-date account of the currently available results about regularization methods both for linear and for nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates. Audience: This book, which can be read by students with a basic knowledge of functional analysis, should be useful both to mathematicians and to scientists and engineers who deal with inverse problems in their fields. It can be used as a text for a graduate course on inverse problems and will also be useful to specialists in the field as a reference work.

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