Haiying Wang

Postdoctoral Fellow   Department of Mathematics   Colorado State University   Fort Collins, CO 80523-1874   Office: 204 Weber Building   Phone: (970) 491-4295   Email:  wangh@math.colostate.edu   Web:   http://www.math.colostate.edu/~wangh

Curriculum Vitae

Research Interests:  Numerical Analysis and Scientific Computing

• Finite element methods: continuous and discontinuous Galerkin methods, mixed and hybridized methods 
  
• Finite volume methods: a posteriori error analysis for elliptic, parabolic, and Navier-Stokes equations
  
• Compositional models for reservoir simulations; Flow in porous media
  

Education

• Ph.D., School of Mathematics, University of Minnesota, 2006,  Advisor: Bernardo Cockburn
• M.S., School of Mathematical Sciences, Nankai University, China, 2001, Advisor: Che Sun
  
• B.S., School of Mathematical Sciences, Nankai University, China, 1998
  

Teaching

• Spring 2009,  M369: Linear Algebra
• Fall 2008,  Math 317: Advanced Calculus of One Variable
• Spring 2008,  Math 229: Matrices and Linear Equations

Publications and Preprints

• Estep, D., Pernice, M., Pham, D., Tavener, S., and Wang, H., A Posteriori Error Analysis of a Cell-Centered Finite Volume Method
  for Semilinear Elliptic Problems, J. Comput. Appl. Math., 233 (2009), 459-472. (pdf)   
  

• Cockburn, B., Guzman, J., and Wang, H., Superconvergent Discontinuous Galerkin Methods for Second-Order Elliptic Problems,
  Math. Comp., 78(2009), pp.1--24. (pdf)
  
  
• Cockburn, B. and Wang, H., The Computation of a Locally Conservative Stress for the Continuous Galerkin Method for Linear Elasticity,
  J. Sci. Comput.,  35(2008),  pp.151--163. (pdf)
  
  
• Cockburn, B., Gopalakrishnan, J., and Wang,H., Locally Conservative Fluxes for the Continuous Galerkin Method,
  SIAM J. Numer. Anal., 45(2007),  pp.1742--1776. (pdf)
  
  
• Estep, D., Pernice, M., Pham, D., Tavener, S., and Wang, H., A Posteriori Error Analysis of Dissipative Cell-Centered Finite Volume
  Methods for Quasilinear Diffusion-Convection-Reaction Problems, To be submitted.
  
  
• MAC Finite Volume Schemes for Navier-Stokes Equations and its a Posteriori Error Analysis,  With Don Estep, In preparation.
  


• Finite Volume Methods for Elliptic Problems with Discontinuity in Diffusion and its a Posteriori Error Analysis, With Don Estep,
  In preparation.