Weiming Cao

Associate Professor
(210) 458-7327

FLN 4.01.15

Office Hours


Research Interests

Differential equations, numerical analysis, scientific computing

  • Ph.D. (Applied Mathematics), Shanghai University of Science and Technology
  • M.S. (Applied Mathematics), Shanghai University of Science and Technology
  • B.S. (Computational Mathematics), Nanjing University
Research Areas
  • Error estimates on anisotropic meshes;
  • Combined h-r mesh refinement for the finite element method of time dependent PDEs;
  • Moving mesh methods; See how the mesh moves (230K)
  • Domain decomposition methods for the p and h-p version of finite element methods
  • The p-version finite element method / spectral methods for nonlinear PDEs in fluid dynamics, approximation theory and stability analysis.

Brooks, E., Cao, W., Demeler, B. (2009). A two-dimensional spectrum analysis for sedimentation velocity experiments of mixtures with heterogeneity in molecular weight and shape. European Biophysical Journal.

Cao, W. (2008). An interpolation error estimate in $R^2$ based on the anisotropic measures of higher order derivatives. AMS Mathematics of Computation, 77, 265-286.

Cao, W., Demeler, B. (2008). Modeling analytical ultracentrifugation experiments with an adaptive space-time finite element solution for multi-component reacting systems. Biophysical Journal, 95, 54-65.

Cao, W. (2007). An interpolation error estimate on anisotropic meshes in $R^n$ and optimal metrics for mesh refinement. SIAM Journal of Numerical Analysis, 45, 2368-2391.

Cao, W. (2007). Anisotropic measures of third order derivatives and the quadratic interpolation error on triangular elements. SIAM Journal of Scientific Computing, 29, 756-781.