previous up next SYLLABUS  Previous: 5.6 Computer quiz  Up: 5 MONTE-CARLO METHOD  Next: 5.8 Further Reading


5.7 Exercises

* 5.01 Expected value and variance.
* 5.02 Diffusion statistics.
* 5.03 Periodic boundary conditions.
* 5.04 Steady state with velocity gradient.
* 5.05 Diffusion coefficient gradient.
* 5.06 Dynamics of a crowd.

These problems can be edited / submitted for correction from your web browser by selecting assignments under the course main page. The color coding corresponds to the level of difficulty / amount of work:

* Easy (2-4 hours).
The problem is a direct illustration of the syllabus and highlights a particular aspect of the theory: the solution consists of a short text with explanations, formulas, maybe an ASCII plot or sometimes a simple modification of the JBONE applet.
* Moderate (1 day).
The problem deals with an extension of the syllabus or an application: the solution combines all the steps, starting from the formulation of a model, the analytical derivation of a numerical scheme, the implementation of a program and finishing with a discussion of the simulation in the JBONE applet.
* Difficult (2-3 days).
The problem describes an application from a neighbouring field that goes beyond the scope of this course, but can be examined to open the scientific horizon: a certain degree of independence and creativity are required to outline a certain aspect, solve the equations and discuss the result.

SYLLABUS  Previous: 5.6 Computer quiz  Up: 5 MONTE-CARLO METHOD  Next: 5.8 Further Reading

      
back up next contents bibliography Copyright © Lifelong-learners at 03:25:27, December 17th, 2017