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

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 ...

Abstract: Neural operators are a class of neural networks to learn mappings between infinite-dimensional function spaces, and recent studies have shown that using neural operators to solve partial ...

Molly Caudery's bid for world pole vault gold was ruined by injury in Tokyo, where the brutal conditions led to Emile Cairess pulling out of the men's marathon less than three miles from the end of ...

Heating your home with fossil fuels such as natural gas, oil or LPG accounts for a big chunk of your carbon footprint. In the long term, the government plans to phase out fossil fuel heating systems.