We solve the two-dimensional heat (diffusion) equation on a rectangular domain $\Omega = [0, L_x] \times [0, L_y]$: $$T^{n+1}_{i,j} - \frac{\theta , \Delta t , \alpha ...

Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

From wearable technology to industrial heat recovery, thermoelectric generators which convert waste heat into electricity ...

Quantum computers can outperform their classical counterparts at some tasks, but the full scope of their power is unclear. A new quantum algorithm hints at the possibility of far-reaching applications ...

Make sure you are confident in calculating with negative numbers, which is a skill often needed to solve equations. To solve the equation, do the inverse operation. The inverse of multiplying by 12 is ...

Just when you feel like you've seen it all, something so incredibly unique comes along to show you that you really haven't. Sometimes, it's clear to see why that something has never been done before - ...

Abstract: This work describes the design and analysis of an activity for teaching mathematical modelling in first-year Linear Algebra courses using the “Lights Out!” game. A cohort of 106 engineering ...