Learning objectives
Students must acquire some skill in modelling physical problems and to solve their dynamics with numerical analysis and/or simulation techniques.<br />
The importance of error estimate will be emphasized.
Prerequisites
no prerequisites
Course unit content
This Lab consist in a series of numerical experiments whose aim is to familiarize the students with advanced solution techniques for physical problems which do not lend themselves to a closed analytic solution. <br />
<br />
This year's themes are the following:<br />
<ol>
<li>Celestial Mechanics: the Newtonian dynamics of the Solar System leading to an estimate of the secula perielion advance for Mercury. <br />
</li>
<li>MonteCarlo: simulation techniques applied to the calculation of the spectrum for simple quantum mechanical systems like the anharmonic oscillator and the Ammonia molecule. <br />
</li>
<li>Non-linear dynamics: a reproduction of the historical Fermi-Pasta-Ulam experiment.</li>
<li>Diffusion processes: the study of stochastic differential equations with applications (Brownian motion, Uhlenbeck, Langevin)</li>
</ol>
Full programme
- - -
Bibliography
Bibliographic information supplied during the Lab activities.
Teaching methods
"in itinere" evaluation and final reports.
Assessment methods and criteria
- - -
Other information
- - -
2030 agenda goals for sustainable development
- - -