1-modeling: of almost and nonlinear systems (structural, mechanical, electrical and multiphysics). 2-solution: of linear and nonlinear PDEs, ODE, algebraic equations, integral equations, and combined problems. 3-signal processing: using advanced methods, such as: wiener filters, match filters, all kind of transforms such as hilber transform, empirical mode decomposition,... 4-controller and observer design: using kalman, EKF, UKF, particle filtering, full state control of MIMO systems...