NUMERICAL METHODS

NUMERICAL METHODS

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iten
Code
86787
ACADEMIC YEAR
2017/2018
CREDITS
3 credits during the 1st year of 9269 Mechanical Engineering - Design and Production (LM-33) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/08
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Mechanical Engineering - Design and Production)
semester
1° Semester
modules
This unit is a module of:

OVERVIEW

The course aims to provide the student knowledge about numerical methods for mechanical engineering problems, particularly with regard to the solution of systems of nonlinear equations, systems of ordinary differential equations, data fitting and optimization.

AIMS AND CONTENT

Teaching methods

The time-schedule of the course is two hours per week in the first semester. The module consists of a theoretical part complemented by laboratory exercises carried out in Matlab.

 

SYLLABUS/CONTENT

The module aims to provide the basic elements of numerical analysis. The purpose is to acquire a knowledge of numerical methods and their implementation, with a focus on stability analysis, accuracy and convergence of the methods. The lectures are complemented by laboratory exercises carried out using Matlab, one of the most used programming languages ​​for scientific computing.

1. Numerical methods for solving systems of nonlinear equations.

2. Interpolation polynomial, data fitting, least squares method.

2. Numerical solution of ordinary differential equations.

2. Numerical methods for unconstrained and constrained optimization.

RECOMMENDED READING/BIBLIOGRAPHY

• Lecture notes of the couse are available in aulaweb;

• Quarteroni, F. Saleri, Introduzione al Calcolo Scientifico, Sprinter-Verlag 2006;

• S. Chapra, R.Canale, Metodi numerici per l’Ingegneria, McGraw-Hill 1988;

• S. Chapra, R. Canale, Numerical methods for Engineers, McGraw-Hill 2009 (edizione più recente).

TEACHERS AND EXAM BOARD

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.

Exam Board

PATRIZIA BAGNERINI (President)

EDOARDO MAININI (President)

DANILO PERCIVALE

LESSONS

Teaching methods

The time-schedule of the course is two hours per week in the first semester. The module consists of a theoretical part complemented by laboratory exercises carried out in Matlab.

 

LESSONS START

First semester.

EXAMS

Exam description

The examination mode consists of an oral test to ensure learning of the course content.

Assessment methods

The oral exam focuses on the learning of one or two subjects from those discussed in class.

FURTHER INFORMATION

See the aulaweb page for more information and details.