Inverse Problems: Modelling and Simulation -

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Résumé :
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....

Biographie:
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 Schr?dinger 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.