Physics 410/609---Computational Physics
Assignment #3---Due Thursday, October 21
NOTE: At the end of each problem, please indicate how long it took
to solve the problem.
1) Complete Problem 5.1 on page 99 of CSM.
Note: part a=3points, b=3pts, c=2pts, d=2pts
2) Complete Problem 5.3 parts a-d on pages 102-103 of CSM.
For part (c), instead of making multiple graphs of the trajectory
and velocity for different values of initial angle, plot different
cases on a single set of axes.
Note: part a=2points, b=2pts, c=3pts, d=3pts
3) Complete Problem 5.5 parts a-d on page 107 of CSM.
4) a) Compute the period of the anharmonic oscillator for initial amplitude
1 for various strengths of the potential and determine the relation
between the period and k/m, where the potential is k*x**4/4 .
Use the fourth order Runge-Kutta method for this problem. This
method is explained in Numerical Recipes (see below) and the appendix
of CMS Chapter 5.
To get an accurate value for the period, it is useful to run
several oscillation periods and then divide the time by the number
of periods.
The best way to see the relationship between the period and k/m is
to use a log-log plot.
b) Read sections 15.0-15.4 of Numerical Recipes.