A new turbulence equation for eddy interactions: AI and physics team up to tackle notoriously difficult question

The currents of the oceans, the roiling surface of the sun, and the clouds of smoke billowing off a forest fire—all are ...

Seeing the whole from a part: Revealing hidden turbulent structures from limited observations and equations

The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in ...
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

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.
Scientific American

For its 100th birthday, the Schrödinger equation is getting a glow-up from quantum physicists

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 ...
IEEE

An Adaptive High-Order Transient Algorithm to Solve Large-Scale Anisotropic Maxwell’s Equations

Abstract: This article presents a stabilized nodal discontinuous Galerkin pseudospectral time-domain (DG-PSTD) algorithm for fully anisotropic electromagnetic waves. This solver permits arbitrary high ...
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 ...