Zhiliang Xu

Applied and Computational Mathematics and Statistics Department
152B Hurley Hall
Notre Dame, IN 46556 
Phone: (574)631-3423
E-mail: zxu2@nd.edu

Course Materials
Fall 2016
Past Courses
Spring 2016
Fall 2015
Spring 2015
Blood clot project
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