Zhiliang Xu

Applied and Computational Mathematics and Statistics Department
173 Hurley Hall
Notre Dame, IN 46556 
Phone: (574)631-3423
E-mail: zxu2@nd.edu



CV
Publications
Course Materials
Sprint 2014
ACMS40212/60212
ACMS60790
Past Courses
Spring 2013
ACMS60790
ACMS40212-60212
Fall 2013
ACMS40390
Research
Interface Tracking Code

Research Interests

My recent research interests have been on the developing high-order accurate numerical methods for solving partial differential equations, specially for equations related to convection dominated flow phenomena (e.g. Euler equations, Navier-Stokes equations), scientific computing, and computational math-biology. I am currently working on:
  • Blood flow modeling
  • Conservative front tracking.
  • Modeling blood thrombus formation in the blood vessel with a multiscale model which couples stochastic discrete Cellular Potts Model with continuum PDE model such as Navier-Stokes equations for the blood flow and convection-diffusion-reaction equations for coagulation reactions.
  • Modeling P. aeruginosa (a bacterium) swarm pattern formation. The model couples thin liquid film model with stochastic discrete off-lattice model for individual cells.
  • Discontinuous Galerkin methods for solving conservation laws.
  • Clot (geomview files)


[Home] [ Publications ]
Zhiliang Xu ( zxu2@nd.edu )

ACMS Colloquia