Learn how to solve differential equations using Euler and Runge-Kutta 4 methods! This tutorial compares both techniques, explaining accuracy, step size, and practical applications for physics and ...

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

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 ...

The original version of this story appeared in Quanta Magazine. The best perk of Alberto Maspero’s job, he says, is the view from his window. Situated on a hill above the ancient port city of Trieste, ...

Members of the University of Geneva (UNIGE) team set out to ascertain if dark matter acts like regular matter on a cosmological scale or whether additional forces are at work. Their research, which ...

There’s still a lot we don’t know about dark matter, or the “missing” mass supposedly constituting around 85% of the universe. Physicists have good reason to believe it’s out there. New research ...

Does dark matter follow the same laws as ordinary matter? The mystery of this invisible and hypothetical component of our Universe — which neither emits nor reflects light — remains unsolved. A team ...

A team led by UNIGE shows that the most mysterious component of our Universe obeys the laws of classical physics. But doubts remain. Map of the distribution of galaxies observed by the DESI ...

If you find these results useful, please cite the article mentioned above. If you use the implementations provided here, please also cite this repository as We develop structure-preserving numerical ...

The year 2022 marked the 200 th anniversary of the first appearance of the Navier–Stokes equation, a landmark in Fluid Dynamics introduced by Claude-Louis Navier in 1822. This equation revolutionized ...

Scientists created a powerful new model that predicts bowling ball paths using physics, not just stats, offering a smarter way to aim for strikes and adapt to tricky lane conditions. Credit: ...

Editor’s Note: This is a two-part series where DI authors Damian and Phoenix Bonicatto explore IQ signal representation and negative frequencies to ease the understanding and development of SDRs. Part ...