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.