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ISBN: 9780792361404
ID: 181cb2ce523637ad793f4dbf85d2f514
Regularization of Inverse Problems 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-6140-4, Springer
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ISBN: 9780792361404
ID: 120901319
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. Regularization of Inverse Problems Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer
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ISBN: 9780792361404
ID: 3170796
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. Regularization of Inverse Problems Engl, Heinz W. / Neubauer, Andreas / Hanke, Martin, Springer
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Regularization of Inverse Problems (Mathematics and its Applications (closed)): Volume 375 - Paperback
2000, ISBN: 0792361407
[SR: 1670177], Paperback, [EAN: 9780792361404], Springer, Springer, Book, [PU: Springer], 2000-03-31, Springer, 278020, Physical Chemistry, 278004, Chemistry, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922390, Engineering Physics, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278233, Materials Science, 278229, Mechanical & Materials Engineering, 278115, Engineering & Technology, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278340, Differential Equations, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278373, Numbers, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570912, Calculus & Mathematical Analysis, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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Title: | Regularization of Inverse Problems |
ISBN: | 9780792361404 |
Details of the book - Regularization of Inverse Problems
EAN (ISBN-13): 9780792361404
ISBN (ISBN-10): 0792361407
Hardcover
Paperback
Publishing year: 2007
Publisher: Springer-Verlag GmbH
332 Pages
Weight: 0,499 kg
Language: eng/Englisch
Book in our database since 14.05.2007 15:35:45
Book found last time on 06.02.2017 11:27:44
ISBN/EAN: 9780792361404
ISBN - alternate spelling:
0-7923-6140-7, 978-0-7923-6140-4
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