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 ...

New impressions A visualization of a curved space–time “sea” from the general-relativity simulations carried out by the authors.(Courtesy: James Mertens) From the Genesis story in the Old Testament to ...

Math has always been a tricky subject for many of us, abstract, rigid, and often intimidating. But thanks to artificial ...

Anthropic has announced the launch of the Claude 3 model family. The Claude 3 family includes three state-of-the-art models in ascending order of capability: Claude 3 Haiku, Claude 3 Sonnet and Claude ...

A reader sent in this question: “ Hi. I was wondering if you could help me figure out finding a complex root problem. If you could explain how it's done that would be great The simple, easy solution ...

The internet is torn over an elementary-level math equation which left many scratching their heads. The viral math problem has X users stumped - but the answer comes from lessons learned in fifth or ...

SIAM Journal on Applied Mathematics, Vol. 77, No. 4 (2017), pp. 1471-1492 (22 pages) Over the last few decades, phase field equations have found increasing applicability in a wide range of ...