- Docente: Fiorella Sgallari
- Crediti formativi: 6
- SSD: MAT/08
- Lingua di insegnamento: Inglese
- Modalità didattica: Convenzionale - Lezioni in presenza
- Campus: Bologna
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Corso:
Laurea Magistrale in
Ingegneria chimica e di processo (cod. 8896)
Valido anche per Laurea Magistrale in Ingegneria per l'ambiente e il territorio (cod. 8894)
Conoscenze e abilità da conseguire
A successful learner from this course will be able to: a) deal with numerical analysis topics such as: accuracy, truncation and round-off errors, condition numbers, convergence, stability, curve-fitting, interpolation, numerical differentiation and integration, numerical linear algebra; b) deal with numerical methods for solving ordinary and partial differential equations, with finite difference and finite element methods for parabolic and elliptic partial differential equations.
Contenuti
Requirements/Prior knowledge
A prior knowledge and understanding of Linear Algebra, Calculus and some experience in programming are required to attend with profit this course.
Course Contents
· Key idea: accuracy, precision, truncation and round-off errors, condition numbers, operation counts, convergence and stability.
· Numerical Linear Algebra: direct methods for linear systems.
· Solution to single equations and multiple non-linear equations.
· Interpolation and approximation: interpolating polynomials, cubic splines, least-square fitting.
· Numerical differentiation.
· Classification of PDEs: elliptic, parabolic and hyperbolic equations.
· Finite difference methods. Stability, consistency, and convergence theory.
Testi/Bibliografia
Some useful course materials for this course can be found at the web page http://www.dm.unibo.it/~sgallari at the link Teaching.
You can find the material for this course in many books on Numerical Analysis such as
- Uri Ascher and Chen Greif , A First Course in Numerical Methods , SIAM, 2011.
- A. Quarteroni, R. Sacco and F. Saleri, Numerical Mathematics Second Ed.,,Springer, 2007.
Metodi didattici
The course involves practical work based on computational tools such as Matlab.
Modalità di verifica e valutazione dell'apprendimento
Assessment is based on assignments of project works and oral exams.
Strumenti a supporto della didattica
Lectures, exercises, laboratory activities in Matlab and other softwares.
Link ad altre eventuali informazioni
http://www.dm.unibo.it/~sgallari/
Orario di ricevimento
Consulta il sito web di Fiorella Sgallari