Name of Research Group:
Machine learning methods in inverse problems, optimal control of partial differential equations
Description of Research Group:
We combine the power of machine learning techeniques from modelling to computational aspects with classical methods in inverse problems and mathematical imaging, as well as optimal control of partial differential equations.
Name of Research Group:
Computational models based on second-order hyperbolic PDEs and their numerical algorithms
Description of Research Group:
This is a new research direction which we have put efforts on. Thanks to my excellent collaborators and students, in particular Dr. Wei Liu and Mr. Haifan Chen, we find a lot of exciting problems to work on.
Name of Research Group:
Numerical methods for direct and inverse problems of PDEs on manifolds
Description of Research Group:
We develop numerical methods for partial differential equations defined on surfaces or general manifolds. Based on that, our experiences will be extended to variational problems, and inverse problems involving PDEs on manifolds.