Contact Information

Yuyang LIU, Ph.D. candidate

School of Mathematical Sciences, Peking University

No. 5 Yiheyuan Road, Haidian District, Beijing, P.R.China 100871

Office Location: Room 116, Building 20, Peking University

Email: liuyuyang at stu dot pku dot edu dot cn

Brief CV ( Comprehensive CV)

Education

High school, 2017——2020, at Shijiazhuang No.2 High School

B.S. in Information and Computing Science, minored in Economics, 2020——2024, at Peking University.

Ph.D. candidate in Computational Mathematics, 2024——present, at Peking University. Supervisor: Prof. Pingwen ZHANG. Co-supervisor: Prof. Lei ZHANG.

Research Interests

Numerical Weather Prediction

We are working on improving the accuracy of numerical weather prediction using advanced or novel data assimilation methods, especially those that combine neural networks.

Solution Landscape

We have developed a HiSD package: SaddleScape. It is a Python package for constructing solution landscapes using High-index Saddle Dynamics (HiSD). This toolkit enables numerical computation of saddle points and their hierarchical organization in dynamical systems. It simplifies the process of saddle point searching, offers flexible parameter settings, and provides many visualization tools.

The repository can be found at https://github.com/HiSDpackage/saddlescape/, and the website is https://hisdpackage.github.io/saddlescape/.

Computational Biology

We are developing a plant growth model based on stress feedback, aiming to use it to explain various phenomena such as phyllotactic patterns, leaf shape, and more.

This work is conducted in cooperation with Prof. Yuling Jiao, Peking University.

Scientific Machine Learning

We are attempting to solve nonlinear, time-dependent, high-dimensional PDEs with high accuracy using neural networks.