- Docente: Fiorella Sgallari
- Credits: 6
- SSD: MAT/08
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
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Corso:
Second cycle degree programme (LM) in
Electronic Engineering (cod. 0934)
Also valid for Second cycle degree programme (LM) in Telecommunications Engineering (cod. 9205)
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.
Course contents
Direct and Iterative methods for solving large linear systems
Numerical solution of large nonlinear systems
Polynomial interpolation
Numerical integration
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 piattaforma iol https://iol.unibo.it/
http://www.dm.unibo.it/~sgallari
You can find the material for this course in many books on Numerical Analysis such as
- A. Quarteroni, Numerical Models for Differential Problems. Springer, 2009.
- A. Quarteroni, R. Sacco and F. Saleri, Matematica Numerica, Third Ed., Springer-Verlag Italia, 2008 .
- L. FORMAGGIA, F. SALERI, A. VENEZIANI APPLICAZIONI ED ESERCIZI DI MODELLISTICA NUMERICA PER PROBLEMI DIFFERENZIALI. SPRINGER, COLLANA:UNITEXT-GIUGNO 2006
Teaching methods
Lectures, exercises, laboratory activities in Matlab.
Assessment methods
Assessment is based on assignments of project works or oral exams.
Teaching tools
The course involves practical work based on computational tools such as Matlab and Freefem.
Links to further information
http://www.dm.unibo.it/~sgallari/
Office hours
See the website of Fiorella Sgallari