AI techniques excel at solving complex equations in physics, especially inverse problems

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

How black holes produce powerful relativistic jets

A hundred years before the Event Horizon Telescope Collaboration released the first image of a black hole in 2019—located at the heart of the galaxy M87—astronomer Heber Curtis had already discovered ...
Greek Reporter

Alexander the Great’s Cut of the Gordian Knot: A Timeless Problem-Solving Symbol

The cutting of the Gordian Knot by Alexander became a metaphor for solving difficult problems by employing simple, drastic solutions.
IEEE

A Varying-Gain Recurrent Neural Network and Its Application to Solving Online Time-Varying Matrix Equation

Abstract: This work was supported in part by the National Key R&D Program of China under Grant 2017YFB1002505, in part by the National Natural Science Foundation of China under Grant 61603142 and ...
IEEE

A neural network-based method for solving a class of high-order nonlinear partial differential equations

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...