The use of numerical methods for solving problems whose analytical solution is unknown is of fundamental importance not only in the field of engineering. A goal of particular interest in the field of naval engineering is the numerical simulation of dynamic systems. The course aims to provide the student knowledge about numerical methods for naval engineering problems, particularly with regard to the solution of systems of nonlinear equations, dynamic systems, data fitting and optimization.
Providing students with the theoretical foundations of numerical methods and application examples in the naval sector.
At the end of course the student must
Lectures of theory and exercises for about 40 hours. Guided exercises with Matlab e Simulink for specific investigations.
The contents can be summarized as follows: 1) numerical methods for solving systems of nonlinear equations; 2) interpolation polynomial, data fitting, least squares method; 3) numerical solution of ordinary differential equations; 4) numerical methods for unconstrained and constrained optimization; 5) state observer for dynamic systems; 6) output feedback through state observers; 7) Lyapunov method for stability analysis.
H.K. Khalil Nonlinear Systems, Prentice Hall, Upper Saddle River, NJ.
T.I. Fossen, Guidance and Control of Ocean Vehicles, Wiley, Chichester, NY.
Quarteroni, F. Saleri, Introduzione al Calcolo Scientifico, Sprinter-Verlag 2006;
S. Chapra, R. Canale, Numerical methods for Engineers, McGraw-Hill, 2018
Ricevimento: The teacher will remain in computer room an hour later at the end of the lesson to provide students with explanations on the exercises or theoretical part. Students may also take appointment at other times via email to bagnerini@dime.unige.it. There are also modes for remote explanations via Skype.
Ricevimento: For questions, contact the lecturer to agree on the time of meeting.
PATRIZIA BAGNERINI (President)
ANGELO ALESSANDRI (President Substitute)
ENRICO MASSA (President Substitute)
