SYLLABUS Previous: 5.6 Computer quiz
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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.
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The color coding corresponds to the level of difficulty / amount of work:

Easy (24 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 (23 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 MONTECARLO METHOD
Next: 5.8 Further Reading
