
معرفی
Ziyao Xu is a Robert and Sara Lumpkins Postdoctoral Research Associate in the Department of Applied and Computational Mathematics and Statistics at the University of Notre Dame. In Fall 2025, he will join Binghamton University as a tenure-track Assistant Professor in the Department of Mathematics and Statistics. His research focuses on computational methods for fluid flow in porous media, including finite element and finite difference methods, discontinuous Galerkin (DG) techniques, and fracture modeling. He holds a Ph.D. in Applied Mathematics from Brown University (2023), an M.S. in Mathematical Sciences from Michigan Technological University (2019), and a B.E. in Petroleum Engineering from China University of Petroleum (2016).
Xu's work emphasizes high-order numerical methods for solving complex fluid dynamics problems, with applications in geosciences and reservoir simulation. His publications explore topics such as well-balanced DG schemes, exponential time differencing methods, and hybrid-dimensional fracture modeling. He has presented at conferences including SIAM Annual Meetings, NAHOMCon, and SPE Reservoir Simulation Conferences.
Teaching experience includes courses on probability, nonlinear dynamical systems, and applied linear algebra at the University of Notre Dame and Brown University. His current research aims to develop efficient and accurate numerical tools for simulating multiphase flow in fractured porous media.





