Office : 683 PGH
Office hours: 3pm - 4pm MW or by appointment (Fall, 2009)
Phone: (713) 743-3448; Fax: (713) 743-3505; e-mail : pan@math.uh.edu

• Math4364: Numerical analysis (MW:4pm - 5:30pm at 301 AH)
  (Prerequisites: Math 2431 (Linear Algebra), Math 3331 (Differential Equations). Ability to do computer assignments in one of the following programming languages: FORTRAN, C, Matlab, Pascal, Maple, or Mathematica; or consent of instructor.)

1. Fictitious domain methods and its applications:
   • Numerical simulations of particulate flows in Newtonian and non-Newtonian fluids, including suspensions, sedimentation, liquid-solid fluidized bed, slurry transportation, and etc., by the distributed Lagrange multiplier/fictitious domain (DLM/FD) methods (we acknowledge the support of the NSF grants: ECCS-9527123, CBET-9873236, DMS-9973318, DMS-0209066, DMS-0443826).
2. Immersed boundary methods and its applications :
   • Numerical simulations of the red blood cell motion in blood flow (we acknowledge the support of the NSF grants: DMS-0443826 and DMS-0914788).
3. Computational fluid dynamics: Incompressible viscous flows and Viscoelastic fluid flows
4. Scientific computing
5. Numerical analysis

Animations of Particulate Flow :

1. Sedimentation: balls, ellipsoids, truncated cylinders settling in an incompressible viscous Newtonian fluid
2. Pattern formation of non-Brownian settling balls in a rotating fluid-filled horizontal cylinder
3. Migration and orientation of a neutrally buoyant particle in 3D Poiseuille flows.
4. Fluidization: 1024 ball fluidized bed, fluidization of 60 truncated cylinders

Conferences and Seminars:

1. Scientific Computing seminar: Thursdays, 3:00 PM, Room 634 S&R1.
2. July 9 - 12, 2008: International Conference on Modeling and Simulation, Xi'an Jiaotong University,Xi'an, Shaanxi, China.
3. March 9 and 10, 2007: France - USA Conference on Applied and Numerical PDEs at 232 PGH, University of Houston.
4. March 2 and 3, 2007: 2007 Texas Finite Element Rodeo at 232 PGH, University of Houston.