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Record Nr. |
UNINA9910828885303321 |
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Autore |
Ramm A. G (Alexander G.) |
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Titolo |
Dynamical systems [[electronic resource] ] : methods and applications : theoretical developments and numerical examples / / Alexander G. Ramm, Nguyen S. Hoang |
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Pubbl/distr/stampa |
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Hoboken, N.J., : Wiley, 2012 |
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ISBN |
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1-283-42518-1 |
9786613425188 |
1-118-19960-X |
1-118-19961-8 |
1-118-19959-6 |
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Descrizione fisica |
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1 online resource (572 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Differentiable dynamical systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Dynamical Systems Method and Applications: Theoretical Developments and Numerical Examples; CONTENTS; List of Figures; List of Tables; Preface; Acknowledgments; PART I; 1 Introduction; 1.1 What this book is about; 1.2 What the DSM (Dynamical Systems Method) is; 1.3 The scope of the DSM; 1.4 A discussion of DSM; 1.5 Motivations; 2 III-posed problems; 2.1 Basic definitions. Examples; 2.2 Variational regularization; 2.3 Quasi-solutions; 2.4 Iterative regularization; 2.5 Quasi-inversion; 2.6 Dynamical systems method (DSM); 2.7 Variational regularization for nonlinear equations |
3 DSM for well-posed problems3.1 Every solvable well-posed problem can be solved by DSM; 3.2 DSM and Newton-type methods; 3.3 DSM and the modified Newton's method; 3.4 DSM and Gauss-Newton-type methods; 3.5 DSM and the gradient method; 3.6 DSM and the simple iterations method; 3.7 DSM and minimization methods; 3.8 Ulm's method; 4 DSM and linear ill-posed problems; 4.1 Equations with bounded operators; 4.2 Another approach; 4.3 Equations with unbounded operators; 4.4 Iterative methods; 4.5 Stable calculation of values of unbounded operators; 5 Some inequalities |
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