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Introduction to inverse problems for differential equations / / by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov
| Introduction to inverse problems for differential equations / / by Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov |
| Autore | Hasanov Hasanoğlu Alemdar |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (261 pages) |
| Disciplina | 515.357 |
| Soggetto topico |
Differential equations, Partial
Computer science - Mathematics Numerical analysis Computer science—Mathematics Mathematical physics Partial Differential Equations Computational Science and Engineering Numerical Analysis Mathematics of Computing Theoretical, Mathematical and Computational Physics |
| ISBN | 3-319-62797-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-9910254276903321 |
Hasanov Hasanoğlu Alemdar
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Inverse Problems: Modelling and Simulation : Extended Abstracts of the IPMS Conference 2024 / / edited by Alemdar Hasanov Hasanoğlu, Roman Novikov, Karel Van Bockstal
| Inverse Problems: Modelling and Simulation : Extended Abstracts of the IPMS Conference 2024 / / edited by Alemdar Hasanov Hasanoğlu, Roman Novikov, Karel Van Bockstal |
| Autore | Hasanov Hasanoğlu Alemdar |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 |
| Descrizione fisica | 1 online resource (615 pages) |
| Disciplina | 518 |
| Altri autori (Persone) |
NovikovRoman
Van BockstalKarel |
| Collana | Research Perspectives Ghent Analysis and PDE Center |
| Soggetto topico |
Mathematics - Data processing
Mathematical models Image processing - Digital techniques Computer vision Numerical analysis Computational Mathematics and Numerical Analysis Mathematical Modeling and Industrial Mathematics Computer Imaging, Vision, Pattern Recognition and Graphics Numerical Analysis |
| ISBN | 3-031-87213-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Part I: Detection Methods -- 1. Determination of cavities in nonlinear parabolic systems arising from electrophysiology -- 2. Source detection on a network: numerical considerations -- 3. Resonator-Based Mass Detection in Nanostructures -- 4. Exploring instabilities of inverse problem solvers with low-dimensional manifolds -- 5. The multifrequency topological derivative method as a data processing tool in nondestructive testing -- 6. Motion Detection in Diffraction Tomography -- Part II: Geometric Inverse Problems -- 7. Survey on Broken Ray Transforms -- 8. Inverse Problems for Twisted Geodesic Flows -- 9. Applications of momentum ray transforms in inverse problems -- Part III: Inverse and Control Problems in Vibrating Structures -- 10. On the use of a roving harmonic load to locate cracks in shear deformable beam -- 11. Identification of out-of-plane loads over Timoshenko beams -- 12. Inverse Source Problems of Damped Vibrating Beam and Plate Models -- Part IV: Inverse Problems and Imaging -- 13. Higher order autocorrelations -- 14. Inverse Problems in Image Restoration -- 15. A Counterexample to Convergence for Multiscale -- 16. Three-dimensional brassiere design for electrical impedance tomography and numerical conductivity reconstructions in EIDORS -- 17. Permittivity Estimation Using Plasmonics -- Part V: Inverse problems and Regularisation -- 18. On Fourier Phase Retrieval by Differential Intensity Measurements in Finite Dimensions -- 19. Bi-level regularization via iterative mesh refinement for aeroacoustics -- Part VI: Inverse Problems for Fractional Equations -- 20. The Inverse Problem for the Fractional Conductivity -- 21. Inverse problems for simultaneous determination of source terms and several scalar parameters of fractional diffusion equations -- 22. A local uniqueness theorem for the fractional Schr¨odinger equation on closed Riemannian manifolds -- 23. Time-fractional diffusion equations of piecewise constant time-varying order -- Part VII: Inverse Problems for PDEs -- 24. A global optimum-informed greedy algorithm for A-optimal experimental design -- 25. Multi-dimensional operators with Sonine kernels -- 26. Numerical Reconstruction of Orders in Coupled Systems of Subdiffusion Equations -- 27. Inverse problems for a wave equation with an interface -- 28. New derivation of relaxation tensor for anisotropic extended Burgers model -- 29. Inverse Problems for Screens -- 30. Shearlet localization operator and microlocal analysis -- 31. Strong Unique Continuation for the Damped Wave -- Part VIII: Inverse Scattering Problems -- 32. Reduced Order Lippmann-Schwinger-Lanczos Inverse Scattering Method -- 33. Transparent scatterers and transmission eigenvalues -- 34. On passive inverse obstacle scattering problems with Neumann and Robin boundary conditions -- 35. New series representations and reconstruction techniques in coefficient inverse problems -- 36. A method to extrapolate the data for the inverse magnetisation problem with a planar sample -- 37. Lippmann-Schwinger-Lanczos approach for inverse scattering problem of Schrödinger equation in the resonance frequency domain -- Part IX: Machine Learning -- 38. Quantum-inspired classification algorithms -- Part X: Radon Transforms and Applications -- 39. Geometry of domains and algebraic type of their Radon transforms -- 40. Remarks on the Interior Problem for the Radon transform -- 41. Range conditions for some divergent-beam transforms -- 42. Super-resolution reconstruction from truncated Hankel transform -- Part XI: Stochastic Problems and Bayesian Inversion -- 43. Inverse stochastic variational formulation for a control economic equilibrium problem -- 44. Sampling in Bayesian inversion accelerated by surrogate models. |
| Record Nr. | UNINA-9911015966003321 |
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Hasanov Hasanoğlu Alemdar
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| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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