After the work of Navier, the Navier-Stokes equation was re-obtained by different arguments by numerous investigators. We have chosen to revisit the approaches of Navier not only because they were ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

Turbulent times This visualization of fluid flow was made using laser-induced fluorescence. (Courtesy: C Fukushima and J Westerweel/Technical University of Delft/CC BY 3.0) The Navier–Stokes partial ...

It would be ncie to show some HPC/computational applications using WoT. We wish to show the time evolution of fluid flow using Navier-Stokes equation. There are multiple examples that could be made, ...

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and delivered a speech that would echo through the next century. He outlined 10 — and ...

Abstract: Partial differential equations (PDEs) present important computational challenges in several scientific disciplines. Classical numerical methods, while effective, often encounter scalability ...

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Abstract: This paper presents a study on the implementation and testing of mixed-precision and mixed-equation approaches for optimizing the performance of physics-informed neural networks.