- Docente: Valeria Simoncini
- Credits: 6
- SSD: MAT/08
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Learning outcomes
At the end of the course, the student knows some of the typical methods for the numerical treatment of certain (systems of) linear differential equations, both theoretically and algorithmically. The student is able to devise and employ computational tools for numerically analyzing simple physical phenomena, with special emphasis on the computer oriented aspects.
Course contents
first and second order (nonlinear) differential equations, with startng values and/or boundary conditions, in one or two variables.
Analysis and approximation of closed forms of solution, using classical numerical strategies.
Variational formulations of elliptic differential problems in one variable.
Stability and convergence analysis of basic methods.
Numerical treatment of first order dynamical systems.
Applications to simple mathematical models of interest in science and other applied areas.
Readings/Bibliography
Bibliography will be included and periodically updated on the course webpage
Teaching methods
blackboard in classroom, tablet on computer, matlab software
Assessment methods
Computer lab evaluation, and longterm project (with presentation) on topics covered by the course and further deepenings
Teaching tools
Afternotes, software, scientific articles and other online texts.
Links to further information
https://www.dm.unibo.it/~simoncin/CalcoloScientifico.html
Office hours
See the website of Valeria Simoncini