- Analysis and numerical methods of equations in partial derivatives.
- Finite elements. Mixed and Hybrid Finite Elements.
- Error estimation and adaptive methods in PDE (Partial Differential Equations).
- Multigrid methods.
- Numerical methods in reaction-convection-diffusion problems.
- Numerical methods for non-linear PDE problems.
- Modeling and numerical simulation of environmental problems.
- Modeling and numerical simulation of wildland fires.
- Parameter adjustment: Kalman filter.
- Integration of numerical simulation models of wildland fires and wind fields into a GIS (Geographic Information System).