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 the planetary atmosphere. This phenomenon is governed by the Navier-Stokes ...

These Mathematicians Are Putting A.I. to the Test

Large language models struggle to solve research-level math questions. It takes a human to assess just how poorly they ...
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

A Stable and Fast Fixed-Point Iteration Algorithm for Solving Magnetic Field Considering Hysteresis under Non-Sinusoidal Excitation

Abstract: Incorporating magnetic hysteresis in time-stepped finite element analysis is still challenging as the reluctivity exhibits a discontinuity at the reversal points when using the fixed-point ...
IEEE

New Results on Cooperative Optimal Consensus Control of Multiagents Using LPV Approach for Lipschitz Nonlinear Systems Under Digraphs

Abstract: This article addresses the distributed cooperative protocol for nonlinear agents with the aim of attaining the optimal leader-following consensus. The main challenges encountered when ...
techxplore

Algorithm captures nonlinear climate dynamics to optimize air-conditioning energy use

Researchers have developed a new algorithmic model that can improve predictions of cooling demand for greener buildings. This kind of control will be a key factor in energy efficiency, allowing ...