Data driven models, System identification, Neural and deep learning for physics-informed applications.
Numerical methods for forward and inverse problems
Ensemble learning, Bayesian inference, and Numerical optimization methods with applied for model order reduction, PDE-Constrained optimization and inverse problems
Quantitative Social science research
Exploratory and explanatory data analysis for chronic disease prevention intervention
Quantitative social research at the intersection of online learning and Gerontology
Time-stepping methods for PDEs
High-order time discretizations for multi-physics systems. Implicit-Explicit, variable time-stepping and error control strategies. Parallel and Jacobian-free methods Advanced methods for fluid simulations, DAEs and stiff problems