For the sake of size, the audio in these examples uses the mp3 format. This may cause the audio to be slightly desynchronized with the animation (The displayed waveform remains correct). wav files don ...

Abstract: This paper addressed the motion planning problem (MPP) for a 1-D wave equation with boundary control. Our approach utilizes advanced control methods, such as semigroup theory and the Laplace ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...