Abstract: For a weakly nonlinear system described by Volterra series, if the nonlinear differential equation (NDE) model of the system is unique, the nonlinear auto-regressive with exogenous input ...

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

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 ...

A number machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a number machine by writing out the functions that have been applied to \(j\) in the order ...

Nonlinear optics is the study of how intense light interacts with matter. The optical response of a material usually scales linearly with the amplitude of the electric field. At high powers, however, ...