Scholar
Hailiang Liu
Google Scholar ID: Wq7IGEIAAAAJ
Iowa State University
Citations & Impact
Citations
2,021
H-index
25
i10-index
61
Publications
20
Co-authors
0
Publications
Browse publications on Google Scholar (top-right) ↗
Resume (English only)
Academic Achievements
- Funding Agencies:
- - NSF
- - DOE
Research Experience
- - Deep Learning: selection dynamics for deep neural networks; fast learning algorithms; optimal transport for density estimation
- - Mathematical Biology: selection dynamics in population evolution; Evolution in biased dispersal in Ecology; aggregation, population balance
- - Critical threshold analysis: Hyperbolic balance laws and related models
- - Kinetic theory for photon scattering: Bose-Einstein condensation phenomena in the Kompaneets model
- - Recovery of high frequency wave fields: Gaussian beam methods, convergence theory, level set methods for recovery
- - Direct discontinuous Galerkin (DDG) methods: fluid equations, Fokker-Planck equations; dispersive PDEs
- - Alternating evolution (AE) methods: Hamilton-Jacobi equation, fully nonlinear PDEs
Education
- - 1995, Ph.D. in Applied Math, Chinese Academy of Sciences
- - 1988, M.Sc. in Applied Math, Tsinghua University
- - 1984, B.Sc. in Math Education, Henan Normal University
Background
- Professor at the Department of Mathematics, Iowa State University, specializing in Computational and Applied Mathematics. My research spans several areas, including mathematical modeling through partial differential equations (PDEs), applied analysis, numerical methods, and scientific computing. Currently, I am exploring the intersection of mathematical foundations with emerging technologies such as deep learning, as well as leveraging data-driven approaches to address PDE-based problems.
Miscellany
- Current Position:
- - Professor of Mathematics
- - Professor of Computer Science (by courtesy)
- - Member, Translational AI Center (TrAC)
- - Data Science/AI Coordinator (Dept. of Math)
- Note: I am currently on leave, serving as a Program Director in the Applied Mathematics Program at the National Science Foundation (NSF).
Co-authors