M13. Numerical Methods and Analysis of Time-Dependent Inverse Problems and Related Applications

Time-dependent partial differential equations serve as fundamental tools for modeling diverse dynamic physical phenomena. This has led to growing interest in time-dependent inverse problems and related applications, such as imaging inclusions, recovering coefficients, and optimal controls. Unlike methodologies developed for static inverse problems, time-dependent formulations generally necessitate distinct mathematical frameworks and specialized computational strategies. This symposium aims to foster interdisciplinary collaboration among mathematicians to explore recent advances in inverse problems and optimal controls associated with wave propagation, heat transfer, diffusion processes, and other related systems. Topics to be discussed will include asymptotic analysis, computational methodologies, unique identifiability, stability quantification, and optimal controls for inverse problems involving, e.g., source identification, obstacle detection, and coefficient reconstruction.

The minisymposium will emphasize both numerical methods and theoretical developments as well as strong connections to practical applications across physical sciences and engineering.

Organizers:
Christian Clason, University of Graz, Austria, This email address is being protected from spambots. You need JavaScript enabled to view it.
Guanghui Hu, Nankai University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Haibing Wang, Southeast University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Jun Zou, Chinese University of Hong Kong, China, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Xinlin Cao, The Hong Kong Polytechnic University, China Email: This email address is being protected from spambots. You need JavaScript enabled to view it.
Optical inversion using plasmonic contrast agents

Wei Gong, Chinese Academy of Sciences, Beijing, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
A shape optimization approach for source identification in elliptic and parabolic equation

Yukun Guo, Harbin Institute of Technology, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
A time-domain direct sampling method for inverse acoustic scattering problems

Bangti Jin, The Chinese University of Hong Kong, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Point source identification for the heat equation

Yikan Liu, Kyoto University, Japan, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse source problem for a time-fractional Maxwell model

Tram Thi Ngoc Nguyen, MPI Solar Systems Research, Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Data assimilation via model reference adaptation for linear and nonlinear dynamical systems

Vinay Rana, Indian Institute of Technology, Ropar, India. vinay.23maz0011@iitrpr.ac.in
Uniqueness of inverse elastic scattering from polygonal obstacles with a single incoming wave

Anne Wald, University of Göttingen, Germany, This email address is being protected from spambots. You need JavaScript enabled to view it.
Regularization of time-dependent inverse problems

Haibing Wang, Southeast University, China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Enhanced inversion of nonsmooth diffusion coefficient in the diffusion equation from multitemporal observations

Lei Zhang, Zhejiang University of Technology, P.R. China, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems of output feedback controller via contraction metrics for uncertain nonlinear systems

Jun Zou, The Chinese University of Hong Kong, Hong Kong, This email address is being protected from spambots. You need JavaScript enabled to view it.
Iterative direct sampling methods for nonlinear inverse problems