73183 - Numerical Methods M

Course Unit Page

Academic Year 2019/2020

Learning outcomes

The course provides mathematical foundations of numerical methods, analyzes their theoretical properties and demonstrates their use with engineering examples. For each class of problems, scientific computing algorithms are reviewed, theoretical analyses are carried out and the expected results are verified using MATLAB

in the parallel course 90391 - LABORATORIO DI METODI NUMERICI M - 3 cfu

Course contents

Direct and iterative methods for solving large linear systems

Numerical solution of large nonlinear systems

Polynomial interpolation

Numerical solution of Partial differential Equations: Finite Difference Methods.

Application of the studied numerical methods to problems of image processing.

Readings/Bibliography

Some useful course materials for this course can be found at the web page  

iol https://iol.unibo.it/


You can find the material for this course in many books on Numerical Analysis such as

  1. A. Quarteroni, R. Sacco and F. Saleri, Matematica Numerica, Third Ed., Springer-Verlag Italia, 2008 .
  2. L. Formaggia, F. Saleri, A. Veneziani Applicazioni ed Esercizi di Modellistica Numerica per Problemi Differenziali. Springer, Collana:Unitext-Gigno 2006
  3. A. Quarteroni, Numerical Models for Differential Problems Springer, 2009.

Teaching methods

Lectures are supported by exercises and projects helded in didactic laboratories in the course 90391 - LABORATORY OF NUMERICAL METHODS M - 3 cfu.

Assessment methods

The exam consists of an oral test or, if integrated with the course 90391 - LABORATORY OF NUMERICAL METHODS M - 3 cfu, in the realization and discussion of a project assigned during the lessons.

Teaching tools

The course, if attended together with the course 90391 - LABORATORY OF NUMERICAL METHODS M - 3 credits, is completed by a laboratory activity with the use of advanced software packages.

Office hours

See the website of Fiorella Sgallari