Inverse Problems: Modelling and Simulation: Extended Abstracts of the IPMS Conference 2024 [Hardcover]

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.

- 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 ovelC´