A new hybrid quantum-classical operator splitting method solves nonlinear parabolic PDEs up to 100 dimensions with provably ...

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 ...

Silicon Valley may end mathematical trophy hunting by making sport of it. But the modern mathematical landscape is so much broader than that.

A new open-source OpenFOAM solver called TTMFoam simulates femtosecond laser ablation of metals using quantum-accurate, ...

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.

OpenAI’s trove of new math results doesn’t fully solve any of these highly prestigious open questions, but it seems to make ...

Sometimes nothing being wrong feels suspicious when your nervous system has spent years preparing for something to go wrong.

Despite these issues, experts say the results are jaw-dropping. The papers span mathematics, theoretical computer science, physics, and more. Some of the discoveries could have easily netted a human ...

Reconstructing fluid behaviour from limited sensor readings is now possible without step-by-step calculations prone to error.

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

This question was posed as part of New Scientist’s Last Word series, in which readers give scientific answers to each other’s ...

To maintain double-digit growth, Vietnam not only needs more resources but more importantly, to make existing resources ...