The central themes of my research are computational science & engineering and applied mathematics with a strong emphasis on direct application to problems in science and engineering. The problems I work on tend to be highly interdisciplinary and synergistically bring together knowledge and techniques from multiple traditional fields of study.
Within this broad context, I am currently focused on the development of novel numerical methods and applications in material science and biophysics. In addition, I am actively involved in the development of high-quality scientific software for the scientific and engineering communities.
Numerical Analysis and Methods
- Optimal time step selection for finite difference schemes
- Characterization of microstructure in polycrystalline materials
- Phase field modeling of polycrystalline materials