They Spent Years on a Math Problem. Then They Were Scooped by A.I.

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians ...
IEEE

Charge-Conserving Current Correction in Particle-in-Cell Codes Using Physics-Informed Neural Networks

Abstract: In particle-in-cell (PIC) simulations, the electromagnetic model requires solving Maxwell’s curl equations while preserving charge conservation since violations of the charge continuity ...

Open-source software unlocks rapid DNA structure generation and analysis in one workflow

Computational chemists at the University of Amsterdam's Van 't Hoff Institute for Molecular Sciences have developed a ...
Scientific American

How Gödel numbers let you do math with math itself

By encoding mathematical statements into numbers, mathematician Kurt Gödel used ordinary arithmetic to check whether a ...