96765 - NUMERICAL DIFFERENTIAL EQUATIONS

Conoscenze e abilità da conseguire

At the end of the course, students know advanced methods for the numerical treatment of partial differential problems in two and three dimensions. In particular, students are able to examine the construction, the convergence and the implementation details of the principal methods associated with the numerical solution of important model problems occurring in scientific and social applications.

Contenuti

• General principles of the numerical solution of Partial Differential Equations by finite differences and finite elements schemes.
• Algorithmic details related to the numerical solution of stationary Diffusion-Transport, Diffusion Reaction equations.
• Algorithmic details of numerical methods for time dependent PDEs.

The course focuses on the algorithmic analysis of the proposed methods requiring to write MATLAB codes and examining existing libraries.

Testi/Bibliografia

• Thomas, J. W.: Numerical Partial Differential Equations. Finite Difference Methods. New York etc., Springer-Verlag 1995
• Thomas, J. W.: Numerical Partial Differential Equations. Conservation Laws and Elliptic Equations. New York etc., Springer-Verlag 1995
• Johnson, C. Numerical Solution of Partial Differential Equations by the Finite Element Method, Dover publications, 2009.

Metodi didattici

Classroom lectures and computer Laboratory

Modalità di verifica e valutazione dell'apprendimento

Project and oral discussion

Strumenti a supporto della didattica

e-learning platform: Virtuale

Orario di ricevimento

Consulta il sito web di Fabiana Zama