Background
Ziyao Xu is an assistant professor in the Department of Mathematics and Statistics at 绿帽社. His research interests lie in scientific computing and numerical analysis of partial differential equations (PDEs), with a particular focus on developing robust and efficient high-order numerical methods for flow and transport problems. He has worked extensively in computational fluid dynamics and fluid flow in porous media, designing high-order accurate finite element and finite difference methods, as well as mathematical modeling in these areas.
Before joining 绿帽社, Xu was a Robert and Sara Lumpkins Postdoctoral Research Associate in the Department of Applied and Computational Mathematics and Statistics at the University of Notre Dame. He received his PhD in applied mathematics from Brown University.
Select Publications
- X. Wu, H. Guo, Z. Xu, L. Tian & Y. Yang, , Journal of Computational Physics, v532 (2025), 113953.
- Z. Xu & Y.-T. Zhang, , Journal of Computational Physics, v529 (2025), 113838.
- Z. Xu & C.-W. Shu, , Advances in Water Resources, v196 (2025), 104898.
- Z. Xu & D. Gl盲ser, , Advances in Water Resources, v195 (2025), 104869.
- Z. Xu & C.-W. Shu, , Journal of Scientific Computing, v101 (2024), 39.
Education
- PhD, Brown University
Research Interests
- Scientific computing
- Numerical analysis
Teaching Interests
- Real analysis
- Number systems