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2.7 Exercises

* 2.01 Upwind differences.
* 2.02 Numerical dispersion.
* 2.03 Shock waves using Lax-Wendroff.
* 2.04 Leapfrog resonator.
* 2.05 European option.
* 2.06 Particle in a periodic potential.
* 2.07 Lax-Friedrichs advection.
* 2.08 Electromagnetic waves.

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: 2.6 Computer quiz  Up: 2 FINITE DIFFERENCES  Next: 2.8 Further reading

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