CS3911 Reading List: Week 14

Textbook Material

Read the following materials

Section 12.2
Slides ODE.pdf (ODE topics) and Random.pdf (Monte Carlo methods) in the common directory.

Do the following problems

From our text

Problems P12.1, P12.3, P12.5 You should use Euler, Heun, Predictor-Corrector, second-order Runge-Kutta methods to compute the results. You are strongly encouraged to do the same with the classical fourth-order Runge-Kutta method.
It can be proved that given any group of 23 people, two of these 23 have the same birthday. Let us forget about the month-day format and use 1 to 365 (or 0 to 364) instead. Generate 23 random number with Fortran 90 RANDOM_SEED() and RANDOM_NUMBER() and convert them to 23 integers in the range of 1 and 365 (or 0 and 364). Are there two of these 23 integers identical? You may have to run your program a few times.

You do not have to turn in your paper. What I really expect you to do is using these problems to gauge your understanding of the subject. So, do the problems after finish reading the above sections.