Schedule

Week 15: December 1, 2008:
Partial Differential Equations

Project 5: Comments to reports
The group did quite well.
Here are some critical comments that could be helpful to do well with the final project.
1. Reports have to have the certain structure. Some reports did not have the important sections like Analysis or Method
2. Despite the project had three parts, it was helpful to have differential cross sections for all three parts presented in one place. Then you could analyze the effects of the recoil targets and the screened potential
3. In atomic and nuclear physics it is common to study differential cross sections as a function of the scattering angle. In experiment it is possible to measure the scattering angles but not the impact parameters.
4. All figures and tables have to have captions explaining what is presented, including initial data
5. Your choice of the initial conditions (initial velocity in the project) should be explained. The effect of the recoil target depends strongly on that choice
6. The calculation of the integral (the last equation in the project description) was not optional.
7. Please, see the forest through the trees. Writing a code is an important issue, but your code is just a tool to study a problem in hand.

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Announcements

Here is the link to the notes on The Boundary Value Problem.

Here is the link to new notes on Systems of Linear Algebraic Equations

Here is the link to the notes on Partial Differential Equations

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List of possible subjects for the final project

# Classical Chaotic scattering - Asli
# Classical scattering on a diatomic molecule (proton on the Hydrogen molecule) - Ana
# Correlation in planetary motion (application to the Solar system) - Mike Kunkel
# Three-body problem in classical mechanics - Jack
# Double pendulum - Mike Sparta
# Dynamics of couples oscillators - Bayram
# Electric fields in plasma - Milka
# Neutron transport - Suba
# Polymers - Dasuni
# Percolation - Mike Mayer
# Cellular Automata - Ivan
# Mythbusters: two cars moving downhill - Steven
# A problem from Dr. van Orden - Bill
# Parametric resonances and billiard models and chaos - Aye
# A problem from Dr. Popovic - Janardan
# 1D time-independent Shrodinger equation (Numerov's method)
# Surface charge
# Motion of a charged particle in EM fields (a possible application - acceleration in SRF cavities)
# Molecular dynamics simulation (for just a few particles)

Students may choose to do their own project. However, they should first discuss it with the instructor. Projects should be based on one of the following numerical themes: ODEs (initial value problem, boundary value problem, eigenvalue problem), Monte-Carlo simulation, systems of linear equations (with or without the eigenvalue problem). A project based on solving PDEs is a possibility.

Schedule of presentations
December 4, 2008. 13:30
Ana
Dasuni
December 11, 2008 12:30

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Countdowns

before the Final for Ana and Dasuni

before the Final