One position of research assistant professor at Department of Mathematics, The Chinese University
of Hong Kong. The details can be found at https://www.math.cuhk.edu.hk/about-us/job-opportunities.
Please apply through mathjob.org: https://www.mathjobs.org/jobs/list/22310
One PhD position on deep solvers for PDEs (jointly with Prof. Simon Arridge,
Department of Computer Science University College London).
The
studentship is funded by the international
joint supervision of PhD students scheme of CUHK. The
project is to investigate deep neural networks for solving inverse problems
associated with partial differential equations, with a focus on developing
efficient numerical algorithms and / or establishing theoretical guarantees.
The specific inverse problems of interest include electrical impedance
tomography, current density impedance imaging and conductivity imaging from
partial interior data. The topics deal with the development and application of
neural networks and their integration to inverse problems, and the main tasks
of the student include (but not limited to): 1) conduct
numerical experiments on model inverse problems; 2)
conduct preliminary theoretical analysis of the algorithm, e.g., generalization
error analysis; 3) perform comparative study with traditional methods. The
deadline for the application is September 20, 2023, and the application and
questions on the position should be sent directly to Bangti Jin (b.jin@cuhk.edu.hk).
Two research assistant / MPhil student positions in computational inverse problems / numerical analysis broadly
speaking. Potential topics of interest include but not limited to:
(1)
theoretical and
applied aspects of adaptive FEM for PDE constrained optimization
(2)
neural networks
for solving PDEs
(3)
stochastic
iterative methods
(4)
generative models
for inverse problems etc.