Penn State University  
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Email: tian@math.psu.edu
Address: Department of Mathematics
  Penn State University
  State College, PA 16801
  USA
Office: McAllister 217
Telephone: (814)863-9052
 
 
     
Academic Background:  
1999-2003:
 B.S. of Mathematics, Shandong University, China.
2003-2006:
 M.S. of Mathematics, Shandong University, China.
2005-2009:
 Ph.D. of Mathematics, University of South Carolina, USA.
  
Teaching Experience:  
Math 141 Section 03 (Fall 2009)
Math 242 Section 5 (USC, Spring 2009)
Math 141 Section 501 Maple Lab (USC, Fall 2008)
Math 526 MATLAB Lab (USC, Fall 2008)
Math 526 MATLAB Lab (USC, Spring 2008)
Math 170 (USC, Fall 2007)

Math 526 Maple Lab (USC, Spring 2007)
Math E141 Maple Lab (USC, Spring 2007)

Research Interest:  
Finite element/finite volume methods for PDEs.  
Adaptive meshing algorithms.  
Numerical of stochastic differential equations.

Advisor:  
M.S. : Weidong Zhao  
Ph.D. : Lili Ju.
Postdoc: Qiang Du

Publications (My Erdos number is 3):  
 
  • "Numerical simulations of the steady Navier-Stokes equations using adaptive meshing schemes", International Journal for Numerical Methods in Fluids, Vol. 56, pp. 703-721, 2008, with L. Ju and H.-C. Lee.
  
 
  • "Convergence analysis of a splitting method for stochastic differential equations", International Journal of Numerical Analysis and Modeling, Vol. 5, pp. 673-692, 2008, with L. Ju and W.D. Zhao.
  
  • "Analysis of a mixed finite-volume discretization for fourth-order equations on general surfaces", IMA Journal of Numerical Analysis, doi:10.1093/imanum/drn021, 2008, with Q. Du and L. Ju.
  • "A posteriori error estimates for finite-volume approximation of elliptic equations on
    general surfaces"    , Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 716-726, 2009, with L. Ju and D. Wang.
  • "Finite element approximation of the Cahn-Hilliard equations on surfaces", submitted; with Q. Du and L. Ju.

Talks:  
 
  • "Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces",
    Cha-Cha Days Workshop 2007, Hampton, VA, October, 2007.
  
 
  • "Analysis of a mixed finite-volume discretization of fourth order equations on general surfaces", 32nd
    SIAM Southeastern-Atlantic Section Annual Meeting, Orlando, FL, March, 2008.
  
  • "A posteriori error estimates for finite-volume approximation of elliptic equations on general sur
    faces"    , SIAM Annual Meeting 2008, (Student Day's presentation), San Diego, CA, July, 2008.
  • "Analysis of a mixed finite-volume discretization of fourth order equations on general surfaces", SIAM Conference on Computational Science and Engineering, 2009, Miami, FL, March 2-6, 2009.
  • "Analysis of a mixed finite-volume discretization of fourth order equations on general surfaces", 33nd
    SIAM Southeastern-Atlantic Section Annual Meeting, Columbia, SC, April, 2009.
 
Awards:
   
   
  • Outstanding Graduate Student, 2009.
 
Workshops Attended:  
 
  • ACES Workshop 2006, Emory University, Atlanta, GA, November, 2006.
  
     
 
 

 
 
             
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