previous up next SYLLABUS  Previous: 4.5 Computer quiz  Up: 4 FOURIER TRANSFORM  Next: 4.7 Further Reading


4.6 Exercises

* 4.01 Advection-diffusion.
* 4.02 Equivalent filter for Zabusky's FD scheme.
* 4.03 Prototype problems.
* 4.04 Intrinsic numerical diffusion.

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 neighboring 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: 4.5 Computer quiz  Up: 4 FOURIER TRANSFORM  Next: 4.7 Further Reading

      
back up next contents bibliography Copyright © Lifelong-learners at 09:34:42, October 18th, 2017