Inverse Problems: Modelling and Simulation : Extended Abstracts of the IPMS Conference 2024 / edited by Alemdar Hasanov Hasanoğlu, Roman Novikov, Karel Van Bockstal.

Format:

Book

Author/Creator:

Hasanov Hasanoğlu, Alemdar.

Contributor:

Novikov, Roman.

Van Bockstal, Karel.

Series:

Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 11

Language:

English

Subjects (All):

Mathematics--Data processing.

Mathematics.

Mathematical models.

Image processing--Digital techniques.

Image processing.

Computer vision.

Numerical analysis.

Computational Mathematics and Numerical Analysis.

Mathematical Modeling and Industrial Mathematics.

Computer Imaging, Vision, Pattern Recognition and Graphics.

Numerical Analysis.

Local Subjects:

Computational Mathematics and Numerical Analysis.

Mathematical Modeling and Industrial Mathematics.

Computer Imaging, Vision, Pattern Recognition and Graphics.

Numerical Analysis.

Physical Description:

1 online resource (615 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.

Summary:

This volume presents the latest theoretical and experimental advancements in the field of inverse problems in recent years. It includes outstanding research results that reflect current theoretical and numerical aspects of inverse problems and their various applications. The volume is a collection of selected contributions from nearly three hundred invited presentations at the International Conference "Inverse Problems: Modelling and Simulation" (IPMS 2024) held from May 26 to June 1, 2024, in Malta. The topics covered in this volume are closely related to emerging deterministic and stochastic models in the fields of medical imaging, biology, geophysics, radar, computer science, communication theory, signal processing, visualization, engineering, and economics. The contributions in this volume reflect a broad range of problems in the theory and applications of inverse problems that are useful for mathematicians, physicists, engineers, and researchers working with inverse problems.

Contents:

- 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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-031-87213-4

OCLC:

1530378615