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Maxwell's Equations and the Wave Equation

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 ...
Abstract: A technique is described for obtaining approximate solutions to the wave equation when a dielectric variation exists in the direction of propagation. The method consists of approximating the ...
Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...
Since that day, LIGO — composed of two highly sensitive laser interferometers located in Hanford, Washington and Livingston, ...
Math equations used to be a daily chore for many elementary schoolers. But entering adulthood means those less mathematically inclined often never have to think about them ever again. And it appears ...
A back-to-basics brain teaser is dividing the internet. BholanathDutta shared the sum 100 + 100 × 4 = ? on X, formerly Twitter, sparking debate among users. At first glance, many people speed to the ...
Abstract: To address the stability constraints associated with small elements in the traditional explicit wave equation-based discontinuous Galerkin time domain (DGTD) method for multiscale modeling, ...
In 2020, Jenna Marbles — one of the most popular YouTube creators of all time —posted her last video. Five years later, her devoted fanbase still wonders: where is she, ...