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1.6 Exercises

* 1.00 E-learning.
* 1.01 Convergence.
* 1.02 Finite difference quotients.
* 1.03 Fourier-Laplace transform.
* 1.04 Random-walk.
* 1.05 Stiff ODE.
* 1.06 Predator-prey model.
* 1.07 Laplacian in 2D.
* 1.08 Sampling in a hypercube.

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: 1.5 Computer quiz  Up: 1 INTRODUCTION  Next: 1.7 Further reading

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