In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...

In this tutorial, we explore how to solve differential equations and build neural differential equation models using the Diffrax library. We begin by setting up a clean computational environment and ...

To turn engine power into controllable motion, cars rely on something called the differential. A differential allows wheels on the same axle to rotate at different speeds. If you want more information ...

Abstract: We present a closed-form solution for the electromagnetic wave equation that governs propagation in a spatially unbounded, linear time-varying gaseous plasma. Using a proper change of ...

A hundred years ago this week, at the height of the quantum revolution, Austrian physicist Erwin Schrödinger submitted a manuscript for publication. Its centerpiece was an innocuous-looking equation ...

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern some of the most complex dynamics found in nature and technology. The AI ...

You can’t build a fast, reliable street/strip machine and ignore the rearend. Everyone talks about engines and transmissions, but very few talk about differentials. We believe that’s a mistake because ...

Your rear differential is one of the most unappreciated parts in your car or truck. It does what might be the hardest job of all of those components, multiplying torque from your transmission and ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...