after completing this course, the student will be able to:
apply the acquired knowledge on the treatment of experimental data, the numerical calculation, the variational methods;
know how to choose from time to time the best numerical methods for the treatment of the experimental data and the simulation of models.
Lecture hours: 42; practise hours: 10 (MATLAB)
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: 0103532758 email:mauro.parodi_at_unige.it Receiving upon demand by email.
MAURO PARODI (President)
MATTEO LODI
ALBERTO OLIVERI
MARCO STORACE
Oral examinations. Proofs concern discussion of and critical thinking about course topics.
know how to choose from time to time the best numerical methods for the treatment of the experimental data and the simulation of models;
apply the acquired knowledge on the treatment of experimental data, the numerical calculation, the variational methods to the formulation of physico-mathematical models.
