italian version

Aims :

To provide the student with an understanding of some basic numerical methods for solving mathematical problems that arise in computational science, engineering and mathematics so that he /she is able to choose appropriate techniques for solving problems and to interpret the results.

Topics :

1) Analysis of the error. Representations of the numbers in the computer.
2) Iterative Methods for the solution of non linear equations. Algebraic equations.
3) Systems of linear equations. Direct methods (Gauss, LU, algorithm of Thomas). Inverse of a matrix. Least square polynomial approximation.
4) Eigenvalue approximation: Gershgorin theorem, the power method, the inverse power method, the shift method, deflation. QR algorithm.
5) Polynomial interpolation (Lagrange, Newton). Numerical differentiation. Richardson extrapolation.
6) Numerical integration: Côtes integration formulae (simple and composite). Trapezoidal rule, Simpson's rule (simple and composite formulae). Romberg Integration method.


Textbooks :

Analisi Numerica, A.M. Perdon Pitagora Editrice 2005

Lecture notes, exercises and information concerning the course can be found on the web site www.diiga.univpm.it/perdon.html

Exam :

The examination consists of a written test and an oral test. A mid term test will be held.

Tutorial Session :

Monday and Wednesday from 14:30 to 16.30.