The course provides the theoretical bases to formulate mathematical models starting from experimental data. Basic knowledge is provided about mathematical models, numerical computation, regularization, numerical simulation of devices and systems.
The course aims to provide a complex of knowledge that allows the understanding and use of the main mathematical tools for numerical calculation, treatment and analysis of experimental data, interpretation and formulation of physical models -mathematics.
At the end of the course the student will know the numerical methods for approximation, differentiation and integration of functions, the solution of ordinary differential equations systems, the singular values decomposition of matrices. He/she will also know the variational methods and their application to modeling.
Linear algebra
lessons: 42 hours
computer laboratory: 10 hours
Normed spaces, orthonormal spaces, operators. Function approximation in a normed space, best uniform approximation. Numerical differentiation and integration. Numerical solution of ordinary differential equations (ODE). Compatibility of linear systems. Least squares solution. Singular value decomposition (SVD) of a matrix with applications. Variational calculus: Euler-Lagrange equations. Variational formulation of physico-mathematical models. Approximate solution of linear and nonlinear ODE - PDE by weighted-residual methods. Applications: traffic models, nonlinear propagation.
-) material provided by the lecturer (PdF notes distributed by the teacher)
-) main reference textbook (in Italian): Mauro Parodi: “Metodi matematici per l’ingegneria” Levrotto&Bella ed., Torino, 2013
Ricevimento: Office: DITEN, Via Opera Pia 11A, second floor; phone: 0103352691 email:alberto.oliveri_at_unige.it Receiving upon demand by email.
Ricevimento: Office: DITEN, Via Opera Pia 11A, second floor; phone: 0103532758 email:mauro.parodi_at_unige.it Receiving upon demand by email.
MAURO PARODI (President)
MARCO STORACE
ALBERTO OLIVERI (President Substitute)
Regular (see calendar at http://www.ingegneria.unige.it/index.php/orario-e-calendario-delle-lezioni)
The exam is divided in two parts; each of them is referred to a half of the program. Each part consists in the explanation of one topic chosen by the student and one topic chosen by the teacher.
The exam will allow assessing the true comprehension of the topics explained during the lessons and the ability of the student to explain a topic in a precise and concise manner.
