Hailiang Liu

Hailiang Liu

Position
  • Professor
I am a Professor at the Department of Mathematics, Iowa State University. My general research interests lie in the area of computational and applied mathematics. I have conducted research in analysis and numerical approximation of time-dependent partial differential equations, including hyperbolic balance laws, kinetic transports, and Schroedinger equations with applications in fluids, plasma and polymers.

Contact Info

434 Carver
411 Morrill Rd.
Ames
,
IA
50011-2104
Social Media and Websites

Education

  • 1995, Ph.D. Applied Math, Chinese Academy of Sciences
  • 1988, M.Sc. Applied Math, Tsinghua University
  • 1984, B.Sc. Math Education, Henan Normal University

More Information

Current Research Topics:

  • Deep Learning: selection dyanmcis for deep neural networks; fast learning algorithms; optimal transport
  • Mathematical Biology: selection dynamics in population evolution; Evolution in biased dispersal in Ecology; aggregation, population balance
  • Critical threhsold analysis: hyperbolic balance laws and related models
  • Recovery of high frequency wave fields: Gaussian beam methods, convergence theory, level set methods for recovery
  • Kinetic theory for photon scattering: Bose-Einstein condensation phenomena in the Kompaneets model
  • Direct discontinuous Galerkin (DDG) methods: fluid equtions, Fokker-Planck equations; dispersive PDEs
  • Alternating evolution (AE) methods: Hamilton-Jacobi equation, fully nonlinear PDEs

Funding Agencies