I am a 3rd year PhD student in the Department of Mathematics at the University of California, San Diego (UCSD), advised by Prof. Xiaochuan Tian. Before that, I received my B.S. in Honors Mathematics and Data Science (double major) from New York University Shanghai (NYU Shanghai) in 2023.
My research focuses on scientific computing and numerical analysis.
For more information, please view my publication list and CV.
Sparse RBF Networks for PDEs and nonlocal equations: function space theory, operator calculus, and training algorithms
preprint, 2026.
ArXiv.
Zihan Shao, Konstantin Pieper, and Xiaochuan Tian.
Solving Nonlinear PDEs with Sparse Radial Basis Function Networks
preprint, 2025. ArXiv.
Zihan Shao, Konstantin Pieper, and Xiaochuan Tian.
The Graft-Versus-Host Problem for Data-driven Gravity Wave Parameterizations in a 1D Quasi-Biennial Oscillation Model
Quarterly Journal of the Royal Meterological Society, 2024. Official Version.
Ofer Shamir, David S. Connelly, Steven C. Hardiman, Zihan Shao, L Minah Yang, and Edwin P. Gerber.