Physics-informed neural networks (PINNs) often struggle to solve stiff partial differential equations (PDEs) with moving boundaries, such as convection-dominated droplet drying with shrinking domains ...

Researchers in Shanghai have developed a hybrid NMPC–LQR controller that lets two-wheeled self-balancing wheelchairs recover ...

Researchers have semi-analytically solved heat, mass, and microorganism transport in a Walter's-B nanoliquid over a ...

Uncover the latest and most impactful research in Partial Differential Equations on Manifolds. Explore pioneering discoveries, insightful ideas and new methods from leading researchers in the field.

Great software doesn't have to cost hundreds anymore.

"My child's math deviation score was over 65 on SAPIX and Nichinoken mock exams.""They could effortlessly solve difficult ...

When did the butterfly become a fried shrimp?There is a term called the "butterfly effect." Previously, I used this term as a ...

Zoroa. This blog post was initially written in a different file format and converted using AI. — T.] Euler formulated ...

EMode Photonix, a Boulder-based startup delivering simulation tools to allow novel photonics technologies for quantum computers to be developed faster, has raised a $1 million pre-seed round.

Researchers demonstrate how amplified fluctuations from squeezed light enhance quantum sensing, leveraging multiphoton ...

This article explores new Quantum Encoding Strategies for fluid simulations, detailing both opportunities and challenges.

Last week, OpenAI shared a proposed solution to the “Navier-Stokes equation” — one of the seven renowned Millenium Prize Problems chosen by the Clay Mathematics Institute that have stumped ...