When
you have enough results to tell a coherent story, you should
end the Research Project by writing (in a clear writing style,
obeying the rules of grammar and spelling) and submitting
a Report. The Report should be understandable to a person
who has not done the assignment. The suggested topics to be
covered in the Report are as follows:
1.
Introduction: Briefly summarize the nature of the
physical systems, the basic numerical method or algorithm
you are going to use, and the interesting relevant questions.
2.
Method: Describe the algorithm and how it is implemented
in the program. In some cases this explanation can be given
in the program itself. Give a typical listing of your program.
The program should include your name, date, and the title
of your file, and be annotated in a way that is selfexplanatory
as possible. Be sure to discuss important features of your
program.
3.
Verification of the program: Confirm that your program
(written in Fortran, C, Mathematics, etc.) is not incorrect
by considering special cases and by giving at least one comparison
to a hand calculations (i.e., Maple or Mathematica) or known
result.
4.
Data: Show the result of some typical runs in graphical
(or tabular) form. Additional runs can be included in appendix.
All tables and figures must be referred in the body of the
text. Each figure and table should have a caption with complete
information (e.g., the value of the time step, etc.), and
axis of the figure must be labeled properly including the
units.
5.
Analysis: In general, the analysis of your results
will include a determination of qualitative and quantitative
relationship between variables, and an estimation of numerical
accuracy.
6.
Interpretation: Summarize your results and explain
them in simple physical terms whenever possible. Specific
questions that were raised in the assignment should be addressed
here. Also give suggestions for future work or possible
extensions.
