- Hyperbolic conservation laws, Computational fluid dynamics, Nonlinear waves, Shock waves in
hyperbolic systems of conservation laws.
- Finite volume methods, Finite element methods, Partial Integro-Differential equations, Visco-Elastic Fluid-Flow problems.
- Hyperbolic systems of quasilinear partial differential equations, Homogenization.
- Design of experiments, Statistical data mining, Computational biology, Generalized linear models, Response surface methods, Combination drug therapy.
- Construction of reliability test plans, Random matrices, Extreme value theory, Free probability and statistics, Time series analysis.
- Statistical inference, Stochastic differential game theory, Statistical inference, Applied probability.