Current Research Interests

• Scientific Computing and Numerical Analysis: High Order Numerical Methods for PDEs

• Implicit Integration Factor Methods 
• Fast Sweeping Methods
• Discontinuous Galerkin (DG) Finite Element Methods
• Weighted ENO Finite Volume / Finite Difference Methods
• High Accuracy Numerical Methods on Unstructured Meshes
  

• Computational and Mathematical Biology: Morphogenesis; Spatio-temporal Patterning
  

• Computational Physics: Complex Flows; Systems Modeled by Hamilton-Jacobi Equations