By some benchmarks, Julia code can run 10X to 1,000X faster than Python—but there’s a reason it’s not a very popular ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

At an event in London, mathematicians have made unexpectedly fast progress on formalising Fermat's last theorem using AI ...

Abstract: Selective Harmonic Elimination Pulse Width Modulation (SHEWM) can eliminate selected low order harmonics by solving nonlinear transcendental equations to obtain the switching angles in ...

You can use the Phase Plane and Slope Field apps to qualitatively analyze ordinary differential equations (ODEs). Phase Plane app: Analyze two-dimensional autonomous ODE systems. Slope Field app: ...

Abstract: Most power systems’ approaches are currently tending towards stochastic and probabilistic methods due to the high variability of renewable sources and the stochastic nature of loads.

What’s the secret to prompting an AI to solve math problems that have left humans stumped? Tell it to believe in itself ...

We introduce the heat method for solving the single- or multiple-source shortest path problem on both flat and curved domains. A key insight is that distance computation can be split into two stages: ...

A decoupling two-grid method for the steady-state poisson-nernst-planck equations by Ying Yang.pdf A generalized multiscale finite element method for the Brinkman equation by Juan Galvis and Guanglian ...