# NUMERICAL METHODS IN NAVAL ARCHITECTURE

iten
Code
94868
2020/2021
CREDITS
4 credits during the 1st year of 8738 Naval Architecture and Marine Engineering (LM-34) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/07
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Naval Architecture and Marine Engineering)
semester
2° Semester
modules
This unit is a module of:
Teaching materials

## OVERVIEW

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.

## AIMS AND CONTENT

LEARNING OUTCOMES

Providing students with the theoretical foundations of numerical methods and application examples in the naval sector.

AIMS AND LEARNING OUTCOMES

At the end of course the student must

1. Knowing and implementing in Matlab the numerical methods seen in class
2. analyzing the stability of a dynamic system in closed loop;
3. design and simulate a regulator for dynamic systems in closed loop.

TEACHING METHODS

Lectures of theory and exercises for about 40 hours. Guided exercises with Matlab e Simulink for specific investigations.

SYLLABUS/CONTENT

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

## TEACHERS AND EXAM BOARD

Office hours: 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.

Office hours: For questions, contact the lecturer to agree on the time of meeting.

Exam Board

PATRIZIA BAGNERINI (President)

ANGELO ALESSANDRI (President Substitute)

ENRICO MASSA (President Substitute)

## LESSONS

TEACHING METHODS

Lectures of theory and exercises for about 40 hours. Guided exercises with Matlab e Simulink for specific investigations.

Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

Exam schedule

Date Time Location Type Notes
18/02/2021 01:00 GENOVA Esame su appuntamento
17/09/2021 01:00 GENOVA Esame su appuntamento