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4.6 Exercises

4.01 Advectiondiffusion.


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 (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 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
