Abstract: Physics-informed neural networks (PINNs) offer a flexible framework for solving differential equations using physical constraints and data. This study focuses on second-order ...

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 ...

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 ...

In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...

A step-by-step guide for applying an old DI that used simple circuits for PWM programming of standard bucking-type regulator ...

At the heart of all lithium-ion batteries is a simple reaction: Lithium ions dissolved in an electrolyte solution ...

In many systems, transmission lines drive reactive (mostly capacitive) loads. To preserve signal integrity, you should properly terminate the lines. However, the input impedance of CMOS logic ICs, for ...

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 ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

Red Bull and Max Verstappen have won back-to-back races, but Singapore represents a different challenge altogether.

The proton gradients that power respiration are as universal as the genetic code itself, giving an insight into the origin of life and the singular origin of complexity. Why do virtually all cells ...