Quanta Magazine

Long-Sought Proof Tames Some of Math’s Unruliest Equations

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...
IEEE

Fast O(N log N) Algorithm for Generating Rank-Minimized H

Abstract: In this article, we propose a fast algorithm to generate a rank-minimized $\mathcal {H}^{2}$ -representation for solving electrically large volume integral equations (VIEs). Unlike existing ...
PCMag

Claude Review: A Polished, Capable Chatbot With Notable Limitations

Claude isn't the most feature-rich AI chatbot, but it performs most tasks reasonably well and benefits from a well-designed ...
IEEE

Solving a New Test Set of Nonlinear Equation Systems by Evolutionary Algorithm

Abstract: During the past two decades, many evolutionary algorithms have been proposed to solve nonlinear equation systems (NESs). However, the benchmark test sets have not received enough attention.
GitHub

Finite basis physics-informed neural networks (FBPINNs)

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...