1) Microstructure simulatitons; diffusion controlled movement of solid surfaces and interfaces,
  2) Electromigration and surface diffusion induced thin film degradation,
  3) Phase field models; Phase transforming cathode materials during Li intercalation/deintercalation,
  4) Finite differences, finite elements, boundary elements and domain decomposition methods,
  5) Computational thermodynamics,
  6) Materials selection in mechanical design.