4Mathematics is a specialist search engine for Mathematics. Discover the latest math news and mathematical content. Part of the 4SEARCH network of topic specific search engines.
Set one constant in this Python script and the smoke stops at that height. It's a real 2D Navier-Stokes solver in about 60 lines. A bigger version drew this: That's OpenAI's chart of selected open math problems. Silver is GPT-6 Astra at its highest plotted compute, about 17%. Blue is…
"In particular, we get insights into Lagrangian turbulence," says Björn Birnir, referencing the theory that describes turbulent behavior in a reference fame that moves with the flow, like a raft on a river. (Credit: Ingolf Zeiner Petersen/Flickr) Mathematicians have derived the formulas for boundary layer turbulence 100 years after the…
This study assesses physics-informed neural networks (PINNs) for the unsteady two-dimensional flow past a rotating circular cylinder confined in a channel (blockage ratio 0.2) at Reynolds numbers of 50, 200 and 500. The networks…
After contributing to the solution of a century-old problem and holding a research position at the University of Michigan, Ma Xiao unexpectedly returned to China to pursue artificial intelligence research. Two years ago…
Professor Hannah Fry, mathematician, best-selling author, award-winning science presenter and host of popular podcasts and television shows, will join the University of Cambridge as the first Professor of the Public Understanding of Mathematics on 1 January. Fry brings outstanding experience to the role of communicating to diverse audiences, including with…
The University of Chicago’s Division of the Physical Sciences is launching a PhD program in computational and applied mathematics, part of an expansion into a field at the intersection of big data and scientific discovery. The…
OpenAI recently announced that one of its AI models solved one of the hardest problems in modern mathematics: the Navier-Stokes problem. The equations at the heart of this problem describe the movement of fluids like water and…
While improvements in computer hardware and high performance computing frameworks continue to provide computational speed increases, efficient mathematical algorithms and skillful coding are essential for solving today's…
Axiom Math has released a machine-checked Lean formalization of the Stacks Project, a roughly 7,500-page open-source reference for algebraic geometry. The startup says coordinated AI agents produced about 16 million lines of code linking thousands of definitions, lemmas and theorems into one reusable library. [1] The claim is narrower than…