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Introduction to inverse problems for differential equations / / Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov
| Introduction to inverse problems for differential equations / / Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov |
| Autore | Hasanoğlu Alemdar Hasanov |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVII, 515 p. 28 illus., 5 illus. in color.) |
| Disciplina | 515.357 |
| Soggetto topico |
Inverse problems (Differential equations)
Computer science - Mathematics Problemes inversos (Equacions diferencials) Equacions en derivades parcials Anàlisi numèrica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-79427-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Ill-Posedness of Inverse Problems for Differential and Integral Equations -- PART I. INTRODUCTION TO INVERSE PROBLEMS: 1. Functional Analysis Background of Ill-Posed Problems -- 2. Inverse Source Problems With Final Overdetermination -- PART II. INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS: 3. Inverse Problems for Hyperbolic Equations -- 4. One-dimensional Inverse Problems for Electrodynamics Equations -- 5. Inverse Problems for Parabolic Equations -- 6. Inverse Problems for Elliptic Equations -- 7. Inverse Problems for the Stationary Transport Equations -- 8. The Inverse Kinematic Problem -- Appendix A: Invertibility of Linear Operators -- Appendix B: Some Estimates For One-dimensional Parabolic Equation -- Bibliography -- Index. |
| Record Nr. | UNINA-9910495229903321 |
Hasanoğlu Alemdar Hasanov
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to inverse problems for differential equations / / Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov
| Introduction to inverse problems for differential equations / / Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov |
| Autore | Hasanoğlu Alemdar Hasanov |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XVII, 515 p. 28 illus., 5 illus. in color.) |
| Disciplina | 515.357 |
| Soggetto topico |
Inverse problems (Differential equations)
Computer science - Mathematics Problemes inversos (Equacions diferencials) Equacions en derivades parcials Anàlisi numèrica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-79427-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Ill-Posedness of Inverse Problems for Differential and Integral Equations -- PART I. INTRODUCTION TO INVERSE PROBLEMS: 1. Functional Analysis Background of Ill-Posed Problems -- 2. Inverse Source Problems With Final Overdetermination -- PART II. INVERSE PROBLEMS FOR DIFFERENTIAL EQUATIONS: 3. Inverse Problems for Hyperbolic Equations -- 4. One-dimensional Inverse Problems for Electrodynamics Equations -- 5. Inverse Problems for Parabolic Equations -- 6. Inverse Problems for Elliptic Equations -- 7. Inverse Problems for the Stationary Transport Equations -- 8. The Inverse Kinematic Problem -- Appendix A: Invertibility of Linear Operators -- Appendix B: Some Estimates For One-dimensional Parabolic Equation -- Bibliography -- Index. |
| Record Nr. | UNISA-996466389103316 |
|
Hasanoğlu Alemdar Hasanov
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Inverse linear problems on a Hilbert space and their Krylov solvability / / Noè Angelo Caruso, Alessandro Michelangeli
| Inverse linear problems on a Hilbert space and their Krylov solvability / / Noè Angelo Caruso, Alessandro Michelangeli |
| Autore | Noè Angelo Caruso |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (150 pages) |
| Disciplina | 515.357 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Hilbert space
Problemes inversos (Equacions diferencials) Espais de Hilbert Operadors lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-88159-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- Chapter 1 Introduction and motivation -- 1.1 Abstract inverse linear problems on Hilbert space -- 1.2 General truncation and approximation scheme -- 1.3 Krylov subspace and Krylov solvability -- 1.4 Structure of the book -- Chapter 2 Krylov solvability of bounded linear inverse problems -- 2.1 Krylov subspace of a Hilbert space -- 2.2 Krylov reducibility and Krylov intersection -- 2.3 Krylov solutions for a bounded linear inverse problem -- 2.3.1 Krylov solvability. Examples. -- 2.3.2 General conditions for Krylov solvability: case of injectivity -- 2.3.3 Krylov reducibility and Krylov solvability -- 2.3.4 More on Krylov solutions in the lack of injectivity -- 2.4 Krylov solvability and self-adjointness -- 2.5 Special classes of Krylov solvable problems -- 2.6 Some illustrative numerical tests -- Chapter 3 An analysis of conjugate-gradient based methods with unbounded operators -- 3.1 Unbounded posi tive self-adjoint inverse problems and conjugate gradient approach -- 3.2 Set-up and main results -- 3.3 Algebraic and measure-theoretic background properties -- 3.4 Proof of CG-convergence and additional observations -- 3.5 Unbounded CG-convergence tested numerically -- Chapter 4 Krylov solvability of unbounded inverse problems -- 4.1 Unbounded setting -- 4.2 The general self-adjoint and skew-adjoint case -- 4.3 New phenomena in the general unbounded case: 'Krylov escape', generalised Krylov reducibility, generalised Krylov intersection -- 4.4 Krylov solvability in the general unbounded case -- 4.5 The self-adjoint case revisited: structural properties. -- 4.6 Remarks on rational Krylov subspaces and solvability of self-adjoint inverse problems -- Chapter 5 Krylov solvability in a perturbative framework -- 5.1 Krylov solvability from a perturbative perspective -- 5.2 Fundamental perturbative questions.
5.3 Gain or loss of Krylov solvability under perturbations -- 5.3.1 Operator perturbations -- 5.3.2 Data perturbations -- 5.3.3 Simultaneous perturbations of operator and data -- 5.4 Krylov solvability along perturbations of K -class -- 5.5 Weak gap-metric for weakly closed parts of the unit ball -- 5.6 Weak gap metric for linear subspaces -- 5.7 Krylov perturbations in the weak gap-metric -- 5.7.1 Some technical features of the vicinity of Krylov subspaces -- 5.7.2 Existence of d_w-limits. Krylov inner approximability. -- 5.7.3 Krylov solvability along d_w-limits -- 5.8 Perspectives on the perturbation framework -- Appendix A Outlook on general projection methods and weaker convergence -- A.1 Standard projection methods and beyond -- A.2 Finite-dimensional truncation -- A.2.1 Set up and notation -- A.2.2 Singularity of the truncated problem -- A.2.3 Convergence of the truncated problems -- A.3 The compact linear inverse problem -- A.4 The bounded linear inverse problem -- A.5 Effects of changing the truncation basis: numerical evidence -- References -- Index. |
| Record Nr. | UNISA-996466545403316 |
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Noè Angelo Caruso
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematical methods in image processing and inverse problems : IPIP 2018, Beijing, China, April 21-24 / / Xue-Cheng Tai, Suhua Wei, Haiguang Liu, editors
| Mathematical methods in image processing and inverse problems : IPIP 2018, Beijing, China, April 21-24 / / Xue-Cheng Tai, Suhua Wei, Haiguang Liu, editors |
| Pubbl/distr/stampa | Gateway East, Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (226 pages) |
| Disciplina | 621.367 |
| Collana | Springer proceedings in mathematics & statistics |
| Soggetto topico |
Image processing
Processament d'imatges Problemes inversos (Equacions diferencials) |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 981-16-2701-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466401203316 |
| Gateway East, Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematical methods in image processing and inverse problems : IPIP 2018, Beijing, China, April 21-24 / / Xue-Cheng Tai, Suhua Wei, Haiguang Liu, editors
| Mathematical methods in image processing and inverse problems : IPIP 2018, Beijing, China, April 21-24 / / Xue-Cheng Tai, Suhua Wei, Haiguang Liu, editors |
| Pubbl/distr/stampa | Gateway East, Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (226 pages) |
| Disciplina | 621.367 |
| Collana | Springer proceedings in mathematics & statistics |
| Soggetto topico |
Image processing
Processament d'imatges Problemes inversos (Equacions diferencials) |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 981-16-2701-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910503008703321 |
| Gateway East, Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Time-dependent problems in imaging and parameter identification / / Barbara Kaltenbacher, Thomas Schuster, Anne Wald, editors
| Time-dependent problems in imaging and parameter identification / / Barbara Kaltenbacher, Thomas Schuster, Anne Wald, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (464 pages) |
| Disciplina | 621.367 |
| Soggetto topico |
Image processing - Mathematics
Inverse problems (Differential equations) Processament d'imatges Problemes inversos (Equacions diferencials) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-57784-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466546703316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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