- Docente: Carolina Vittoria Beccari
- Crediti formativi: 6
- SSD: MAT/08
- Lingua di insegnamento: Inglese
- Moduli: Carolina Vittoria Beccari (Modulo 1) Carolina Vittoria Beccari (Modulo 2)
- Modalità didattica: Convenzionale - Lezioni in presenza (Modulo 1) Convenzionale - Lezioni in presenza (Modulo 2)
- 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)
Campus di Ravenna
Laurea Magistrale in Offshore engineering (cod. 9249)
Campus di Ravenna
Laurea Magistrale in Offshore engineering (cod. 9249)
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
- Key idea: accuracy, precision, truncation and round-off errors, condition numbers, operation counts, convergence and stability.
- Solution to nonlinear equations.
- Numerical Linear Algebra: direct methods for linear systems.
- Linear least squares.
- Polynomial interpolation.
- Numerical differentiation.
- Classification of PDEs: elliptic, parabolic and hyperbolic equations.
- Finite difference methods. Stability, consistency, and convergence theory.
Testi/Bibliografia
- U. Ascher, C. Greif, A first course in Numerical Methods, SIAM, 2011.
- A. Quarteroni, R. Sacco and F. Saleri, "Numerical Mathematics, Second Ed.", Springer, 2007.
- M.T. Heath, "Scientific Computing. An introductory survey", McGraw-Hill, 1997.
Metodi didattici
The course involves theoretical lectures and practical work based on computational tools such as Matlab.
Modalità di verifica e valutazione dell'apprendimento
Assessment is based on a written exam including exercises with Matlab and written questions.
Strumenti a supporto della didattica
Lectures, lecture slides, exercises, laboratory activities with Matlab and possibly other softwares.
Orario di ricevimento
Consulta il sito web di Carolina Vittoria Beccari