- 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 elettronica (cod. 0934)
Valido anche per Laurea Magistrale in Ingegneria chimica e di processo (cod. 0929)
Laurea Magistrale in Ingegneria per l'ambiente e il territorio (cod. 0939)
Laurea Magistrale in Civil engineering (cod. 8211)
Conoscenze e abilità da conseguire
The goal of the course is to provide knowledge of numerical methods including: root-finding, elementary numerical linear algebra, solving systems of linear equations, curve fitting, and numerical solution to ordinary and partial differential equations. Topics include the application of finite elements to parabolic and elliptic partial differential equations.
Contenuti
Numerical Methods I (Proff. F.Sgallari, A.Lanza)
- Key idea: accuracy, precision, truncation and round-off errors, condition numbers, operation counts, convergence and stability.
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Numerical Linear Algebra: direct and iterative methods for linear systems.
- Solution to single equations and multiple non-linear
equations.
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Interpolation and approximation: interpolating polynomials, cubic splines, least-square fitting.
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Numerical differentiation and integration: Newton-Cotes quadrature formulas, Gaussian quadrature.
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Classification of PDEs: elliptic, parabolic and hyperbolic equations.
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Finite difference methods. Stability, consistency, and convergence theory.
Numerical Methods II (Prof. F. Zama)
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Finite Elements Methods
(formulation of the finite element method in 1-D and 2-D continuum, basic 1-D and 2-D finite elements,
modeling and programming aspects of the finite element method).
Testi/Bibliografia
Some useful course materials for this course can be found at the web page http://people.ciram.unibo.it/~sgallariat the link Teaching.
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
Numerical Mathematics Second Ed., Springer, 2007.
Metodi didattici
The course involves practical work based on computational tools such as Matlab and Freefem.
Modalità di verifica e valutazione dell'apprendimento
Assessment is based on assignmentsof project works and oral exams.
Strumenti a supporto della didattica
Lectures, exercises, laboratory activities in Matlab.
Link ad altre eventuali informazioni
http://people.ciram.unibo.it/~sgallari/
Orario di ricevimento
Consulta il sito web di Fiorella Sgallari