In the last post, we learned how to use the Euler-Cromer method to simulate a nonlinear system like the simple pendulum. Recall that in deriving the Euler-Cromer method, we took the Taylor expansion of and discarded terms of order or higher. Perhaps if we kept these higher order terms, we might be able to derive […]

One of the things that really made physics “click” for me was learning how to numerically simulate the systems I learned about in class. It’s one thing to write down the equations of motion for a certain problem – it’s another to actually visualize how they look like on a computer. It’s the missing link […]