after completing this course, the student will be able to:
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: 80; 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. Classification of partial differential equations (PDE). Hyperbolic, parabolic, elliptic second-order linear PDEs. Examples of PDE-based models. Separation of variables. Approximate solution of linear and nonlinear PDEs by weighted-residual methods. Applications: traffic models, nonlinear propagation (solitons).
-) 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)
GIULIO BARABINO
SANDRO RIDELLA
MARCO STORACE
MATHEMATICAL METHODS FOR ENGINEERS
Oral examinations. Proofs concern discussion of and critical thinking about course topics.
