Numerical Simulations

Install the required dependencies:

pip3 install -r requirements.txt

1. Simple Pendulum

To execute:

Edit the file "parameters.yaml" to modify the parameters for the Pendulum.

For Python:

python3 simple-pendulum/main.py

The file "simple-pendulum.py" has the implementation of Runge-Kutta 4th Order Method solving the equation of motion.

For the Phase Space trajectory, use the file "phase_space.py" For plotting the energy, use the file "energy.py"

If you are importing into a different file, copy the "simple-pendulum.py" into the same folder and add the following line to beginning of your file:

from simple-pendulum import SimplePendulum

For Julia:

julia simple-pendulum.jl [Initial Angle]

If you are importing into a different file, copy the "simple-pendulum.jl" into the same folder and add the following line to beginning of your file:

include("./simple-pendulum.jl")
using .SimplePendulumSimulation
import Plots.savefig

Specify the initial angle of the simple pendulum as a command line argument.

To build the TeX file in simple-pendulum/theory/

chmod +x make.sh
./make.sh