Sinossi
Driven by the needs of applications both in sciences and in industry, the field of inverse problems has become a growing area in applied mathematics. 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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
`It is written in a very clear style, the material is well organized, and there is an extensive bibliography with 290 items. There is no doubt that this book belongs to the modern standard references on ill-posed and inverse problems. It can be recommended not only to mathematicians interested in this, but to students with a basic knowledge of functional analysis, and to scientists and engineers working in this field.'
Mathematical Reviews Clippings, 97k
`... it will be an extremely valuable tool for researchers in the field, who will find under the same cover and with unified notation material that is otherwise scattered in extremely diverse publications.'
SIAM Review, 41:2 (1999)
Contenuti
Preface. 1. Introduction: Examples of Inverse Problems. 2. Ill-Posed Linear Operator Equations. 3. Regularization Operators. 4. Continuous Regularization Methods. 5. Tikhonov Regularization. 6. Iterative Regularization Methods. 7. The Conjugate Gradient Method. 8. Regularization with Differential Operators. 9. Numerical Realization. 10. Tikhonov Regularization of Nonlinear Problems. 11. Iterative Methods for Nonlinear Problems. A. Appendix: A.1. Weighted Polynomial Minimization Problems. A.2. Orthogonal Polynomials. A.3. Christoffel Functions. Bibliography. Index.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Altre edizioni note dello stesso titolo
Risultati della ricerca per Regularization of Inverse Problems: 375
Immagini fornite dal venditore
Regularization of Inverse Problems. Mathematics and Its Applications, Band 375.
Editore:
Kluwer Academic Publishers, 1996
ISBN 10: 0792341570
ISBN 13: 9780792341574
Antico o usato
Rilegato
Da: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Germania
Valutazione del venditore 5 su 5 stelle
gebundene Ausgabe. Condizione: Gut. 321 Seiten Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. In ENGLISCHER Sprache.Einbandkanten sind leicht bestoßen. Sprache: Englisch Gewicht in Gramm: 750. Codice articolo 2125762
Compra usato
EUR 110,00
Spedizione EUR 15,95
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 4 disponibili
Foto dell'editore
Regularization of Inverse Problems (Mathematics and Its Applications, 375)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In English. Codice articolo ria9780792341574_new
Compra nuovo
EUR 162,92
Spedizione EUR 13,85
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Regularization of Inverse Problems (Mathematics and Its Applications, 375)
Da: BennettBooksLtd, Los Angeles, CA, U.S.A.
Valutazione del venditore 5 su 5 stelle
hardcover. Condizione: New. In shrink wrap. Looks like an interesting title! Codice articolo Q-0792341570
Compra nuovo
EUR 191,72
Spedizione EUR 5,90
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
Regularization of Inverse Problems
Editore:
Kluwer Academic Publishers, US, 1996
ISBN 10: 0792341570
ISBN 13: 9780792341574
Nuovo
Rilegato
Da: Rarewaves.com USA, London, LONDO, Regno Unito
Valutazione del venditore 5 su 5 stelle
Hardback. Condizione: New. 1996 ed. Driven by the needs of applications both in sciences and in industry, the field of inverse problems has become a growing area in applied mathematics. 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. Codice articolo LU-9780792341574
Compra nuovo
EUR 207,09
Spedizione gratuita
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Regularization of Inverse Problems
Print on DemandDa: moluna, Greven, Germania
Valutazione del venditore 4 su 5 stelle
Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization metho. Codice articolo 5967848
Compra nuovo
EUR 162,51
Spedizione EUR 48,99
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Regularization of Inverse Problems
Editore:
Springer, Springer Jul 1996, 1996
ISBN 10: 0792341570
ISBN 13: 9780792341574
Nuovo
Rilegato
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the last two decades, the field of inverse problems has certainly been one of the fastest growing areas in applied mathematics. This growth has largely been driven by the needs of applications both in other sciences and in industry. In Chapter 1, we will give a short overview over some classes of inverse problems of practical interest. Like everything in this book, this overview is far from being complete and quite subjective. As will be shown, inverse problems typically lead to mathematical models that are not well-posed in the sense of Hadamard, i.e., to ill-posed problems. This means especially that their solution is unstable under data perturbations. Numerical meth ods that can cope with this problem are the so-called regularization methods. This book is devoted to the mathematical theory of regularization methods. For linear problems, this theory can be considered to be relatively complete and will be de scribed in Chapters 2 - 8. For nonlinear problems, the theory is so far developed to a much lesser extent. We give an account of some of the currently available results, as far as they might be of lasting value, in Chapters 10 and 11. Although the main emphasis of the book is on a functional analytic treatment in the context of operator equations, we include, for linear problems, also some information on numerical aspects in Chapter 9. 332 pp. Englisch. Codice articolo 9780792341574
Compra nuovo
EUR 192,59
Spedizione EUR 23,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 2 disponibili
Foto dell'editore
Regularization of Inverse Problems
Print on DemandDa: THE SAINT BOOKSTORE, Southport, Regno Unito
Valutazione del venditore 5 su 5 stelle
Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Codice articolo C9780792341574
Compra nuovo
EUR 230,26
Spedizione EUR 20,53
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Regularization of Inverse Problems
Da: Books Puddle, New York, NY, U.S.A.
Valutazione del venditore 4 su 5 stelle
Condizione: New. pp. 336. Codice articolo 26549698
Compra nuovo
EUR 248,47
Spedizione EUR 3,39
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 4 disponibili
Immagini fornite dal venditore
Regularization of Inverse Problems
Editore:
Springer, Springer Jul 1996, 1996
ISBN 10: 0792341570
ISBN 13: 9780792341574
Nuovo
Rilegato
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Valutazione del venditore 5 su 5 stelle
Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In the last two decades, the field of inverse problems has certainly been one of the fastest growing areas in applied mathematics. This growth has largely been driven by the needs of applications both in other sciences and in industry. In Chapter 1, we will give a short overview over some classes of inverse problems of practical interest. Like everything in this book, this overview is far from being complete and quite subjective. As will be shown, inverse problems typically lead to mathematical models that are not well-posed in the sense of Hadamard, i.e., to ill-posed problems. This means especially that their solution is unstable under data perturbations. Numerical meth ods that can cope with this problem are the so-called regularization methods. This book is devoted to the mathematical theory of regularization methods. For linear problems, this theory can be considered to be relatively complete and will be de scribed in Chapters 2 - 8. For nonlinear problems, the theory is so far developed to a much lesser extent. We give an account of some of the currently available results, as far as they might be of lasting value, in Chapters 10 and 11. Although the main emphasis of the book is on a functional analytic treatment in the context of operator equations, we include, for linear problems, also some information on numerical aspects in Chapter 9.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch. Codice articolo 9780792341574
Compra nuovo
EUR 192,59
Spedizione EUR 60,00
Spedito da Germania a U.S.A.
Spedito da Germania a U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Regularization of Inverse Problems (Mathematics and Its Applications, 375)
Da: GoldBooks, Denver, CO, U.S.A.
Valutazione del venditore 5 su 5 stelle
Hardcover. Condizione: new. New Copy. Customer Service Guaranteed. Codice articolo 44H51_23_0792341570
Compra nuovo
EUR 251,24
Spedizione EUR 4,67
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili